Abstract
The purpose of this chapter is to survey classical and modern measurement techniques used in rotating flow experiments. Since the measurement of rotating flows is now a broad and rapidly developing art, it is clear that only a summary of the essential features of each measurement system can be given. Here we will be primarily concerned with flows driven by rotating boundaries, rotational flows produced inside stationary boundaries, motion driven by thermal heating of a fluid in a basic state of rotation and other flows for which rotational forces are of primary importance. Free vortex flows in the absence of rotation, wind tunnel flow over rotating bodies, and rotating liquid helium flows which necessitate specialized measurement techniques are excluded. Equations and diagrams are incorporated only when they add substantially to the understanding of the operation of a particular measurement system. An attempt is made to include historical perspective and development. Also, I felt it was important to provide an extensive bibliography to exhibit the range of applications of each measurement technique and thereby provide guidance for the experimentalist interested in rotating flows.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abell, S. and Hudson, J. L. (1975) An experimental study of centrifugally driven free convection in a rectangular cavity. Int. J. Heat Mass Trans., 18, 1415–1423.
Adrian, R. J. (1983) Laser velocimetry. Fluid Mechanics Measurements, ed. R. J. Goldstein, 155–244 ( Hemisphere Publishing, Washington ).
Adrian, R. J. and Yao, C. S. (1983) Development of pulsed laser velocimetry measurement of fluid flow. Proceedings, Eighth Biennial Symposium on Turbulence, eds. G. Patterson and J. L. Zakin ( University of Missouri, Rolla).
Adrian, R. J. and Yao, C. S. (1985) Pulsed laser technique application to liquid and gaseous flows and the scattering power of seed materials. Appl. Opt., 24, 44–52.
Agui, J. C. and Jimenez, J. (1988) On the performance of particle tracking. J. Fluid Mech., 185, 447–468.
Ahlborn, F. (1902) On the mechanism of hydrodynamic drag. (German), Abhandl. Gebiete Naturwiss., 17, Hamburg. See also Tietjens, O. G. (1934) Applied Hydro-and Aeromechanics ( Dover, New York, 1957 ).
Ahlers, G. and Cannell, D. S. (1983) Vortex-front propagation in rotating Couette-Taylor flow. Phys. Rev. Lett., 50, 1583–1586.
Aitta, A., Ahlers, G. and Cannel, D. S. (1985) Tricritical phenomena in rotating Couette-Taylor flow. Phys. Rev. Lett., 54, 673–676.
Aldridge, K. D. and Toomre, A. (1969) Axisymmetric inertial oscillations of a fluid in a rotating spherical container. J. Fluid Mech., 37, 307–323.
Amen, R. L. (1985) The decay of grid generated turbulence in a two layer stratified fluid. PhD thesis, University of Southern California, Los Angeles, CA.
Andereck, D. D., Dickman, R. and Swinney, H. L. (1983) New flows in a circular Couette system with co-rotating cylinders. Phys. Fluids, 26, 1395–1401.
Andereck, C. D., Liu, S. S. and Swinney, H. L. (1986) Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech., 164, 155–183.
Annamalai, P., Trinh, E. and Wang, T. G. (1985) Experimental study of the oscillations of a rotating drop. J. Fluid Mech., 158, 317–327.
Baker, D. J. (1966) A technique for the precise measurement of small fluid velocities. J. Fluid Mech., 26, 573–575.
Baker, D. J. (1967) Shear layers in a rotating fluid. J. Fluid Mech.. 29, 165–175.
Baker, D. J., Jr. (1968) Demonstrations of fluid flow in a rotating system. II: The “spin-up” problem. Amer. J. Phys., 36, 980–986.
Baker, D. J., Jr. and Robinson, A. R. (1969) A laboratory model for the general oceanic circulation. Phil. Trans. Roy. Soc. Lond., A265, 533–566.
Baker, D. J. (1971) Density gradients in a rotating stratified fluid: experimental evidence for a new instability. Science, 172, 1029–1031.
Balint, J.-L., Vukoslavcevic, P., and Wallace, J. M. (1987) A study of the vortical structure of the turbulent boundary layer. Advances in Turbulence, eds. G. CompteBellot and J. Mathieu, 456–464 ( Springer-Verlag, Berlin ).
Bankoff, S. G. and Rosier, R. S. (1962) Constant-temperature hot-film anemometer as a tool in liquid turbulence measurement. Rev. Sci. Instrum., 33, 1209–1212.
Barcilon, A., Brindley, J., Lessen, M. and Mobbs, F. R. (1979) Marginal instability in Taylor-Couette flows at a very high Taylor number. J. Fluid Mech., 94, 453–463.
Barker, D. B. and Fourney, M. E. (1977) Measuring fluid velocities with speckle patterns. Opt. Lett., 1, 135–137.
Bar-Yoseph, P., Roesner, K. G. and Seelig, S. (1986) Flow in an eccentrical spherical gap. Proc. 6th Workshop on Gases in Strong Rotation, Tokyo, Japan, 1–9.
Baxter, G. W. and Andereck, C. D. (1986) Formation of dynamical domains in a circular Couette system. Phys. Rev. Lett., 57, 3046–3049.
Beardsley, R. C. (1969) A laboratory model of the wind-driven ocean circulation. J. Fluid Mech., 38, 255–271.
Beardsley, R. C. (1970) An experimental study of inertial waves in a closed cone. Stud. Appl. Math., 49, 187–196.
Beardsley, R. C. and Robbins, K. (1975) The ‘sliced-cylinder’ laboratory model of the wind-driven ocean circulation. Part 1. Steady forcing and topographic Rossby wave instability. J. Fluid Mech., 69, 27–40.
Beardsley, R. C. (1975) The ‘sliced-cylinder’ laboratory model of the wind-driven ocean circulation. Part 2. Oscillatory forcing and Rossby wave resonance. J. Fluid Mech., 69, 41–64.
Becker, J. A., Green, C. B. and Pearson, G. L. (1946) Properties and uses of thermistors–Thermally sensitive resistors. Trans. Amer. Inst. Elect. Engr., 65, 711–725.
Beckwith, T. G., Buck, N. L. and Marangoni, R. D. (1982) Mechanical Measurements. (Addison-Wesley, Reading, MA).
Bellhouse, B. J. and Schultz, D. L. (1966) Determination of mean and dynamic skin friction, separation and transition in low-speed flow with a thin-film heated element. J. Fluid Mech., 24, 379–400.
Bellhouse, B. J. and Schultz, D. L. (1967) The determination of fluctuating velocity in air with heated thin film gauges. J. Fluid Mech., 29, 289–295.
Benjamin, T. B. (1978) Bifurcation phenomena in steady flows of a viscous fluid. 1I. Experiments. Proc. Roy. Soc. Lond., A359, 27–43.
Benjamin, T. B. and Barnard, B. J. S. (1964) A study of the motion of a cavity in a rotating liquid. J. Fluid Mech., 19, 193–209.
Benjamin, T. B. and Mullin T. (1982) Notes on the multiplicity of flows in the Taylor experiment. J. Fluid Mech., 121, 219–230.
Betchov, R. (1948) L’influence de la conduction thermique sur les anemometres a fils chaud. Proc. K. Ned. Akad. Wet., 51, 721–730.
Bien, F. and Penner, S. S. (1970) Velocity profiles in steady and unsteady rotating flows for a finite cylindrical geometry. Phys. Fluids, 13, 1665–1671.
Bien, F. and Penner, S. S. (1971) Spin-up and spin-down of rotating flows in finite cylindrical containers. Phys. Fluids, 14, 1305–1308.
Bjorklund, I. S. and Kays, W. M. (1959) Heat transfer between concentric rotating cylinders. J. Heat Trans., 81, 175–186.
Blackwelder, R. F. (1981) Hot-wire and hot-film anemometers. Methods of Experimental Physics: Fluid Dynamics–Part A, 18, ed. R. J. Emrich, 259–314 ( Academic Press, New York ).
Blake, W. K. (1983) Differential pressure measurement. Fluid Mechanics Measurements, ed. R. L. Goldstein, 61–97 ( Hemisphere, Washington ).
Bornstein, J. and Escudier, M. P. (1984) LDA easurements within a vortex-breakdown bubble. Laser Anemometry in Fluid Mechanics, 253–263 ( Ladoan, Lisbon ).
Bourquin, K. R. and Shigemoto, F. H. (1968) Investigation of air-flow velocity by laser backscatter. NASA Tech. Note, No. D-4453.
Bowden, M. and Eden, II. F. (1965) Thermal convection in a rotating fluid annulus: Temperature, heat flow and flow field observations in the upper symmetric regime. J. Atm. Sci., 22, 185–195.
Boyer, D. (1971) Rotating flow over long shallow ridges. Geophys. Fluid Dyn., 2, 165–184.
Boyer, D. L. and Guala, J. R. (1972) Model of the antarctic circumpolar current in the vicinity of the MacQuarie ridge. Antarctic Res. Ser.; Antarctic Oceanology II: The Australian-New Zeland Sector, 19, ed. D. E. Hayes, 79–93.
Boyer, D. L. and Davies, P. A. (1982) Flow past a circular cylinder on a ß-plane. Phil. Trans. Roy. Soc. Lond., A306, 533–556.
Boyer, D. L., Kmetz, M., Smathers, L., Chabert d’Hieres, G. and Didelle, H. (1984a) Rotating open channel flow past right circular cylinders. Geophys. Astrophys. Fluid Dyn., 30, 271–304.
Boyer, D. L., Davies, P. A. and Holland, W. R. (1984b) Rotating flow past disks and cylindrical depressions. J. Fluid Mech., 141, 67–95.
Boyer, D. L. and Biolley, F. M. (1986) Linearly stratified, rotating flow over long ridges in a channel. Phil. Trans. Roy. Soc. Loud., A318, 411–440.
Boyer, D. L., Davies, P. A., Holland, W. R.. Biolley, F. and Honji, H. (1987a) Stratified rotating flow over and around isolated three-dimensional topography. Phil. Trans. Roy. Soc. Lond., A322, 213–241.
Boyer, D. L., Chen, R. and Davies, P. A. (1987b) Some laboratory models of flow past the Alpine/Pyrenees mountain complex. Meteorol. Atmos. Phys., 36, 187–200.
Bradshaw, P. (1971) An introduction to turbulence and its measurement. ( Pergamon Press, New York).
Brandstater, A., Swift, J., Swinney, H. L., Wolf, A., Farmer, J. D., Jen, E., and Crutchfield, J. P. (1983) Low-dimensional chaos in a hydrodynamical system. Phys. Rev. Lett., 51, 1442–1445.
Brandstater, A., and Swinney, H. L. (1987) Strange attractors in weakly turbulent Couette-Taylor flow. Phys. Rev.. 35A, 2207–2220.
Brayton, D. B. (1969) A simple, laser, Doppler shift, velocimeter with self-aligning optics. AEDC Tech. Rep., No.70–45.
Browand, F. K. and Weidman, P. D. (1976) Large scales in the developing mixing layer. J. Fluid Mech., 76, 127–144.
Brown, R. G. W. and Jones, R. (1983) Burst-correlation laser Doppler velocimetry. Opt. Lett.,8, 449–451.
Buchhave, P. George, W. K. Jr., and Lumley, J. L. (1979) The measurement of turbulence with the laser-Doppler anemometer. Ann. Rev. Fluid Mech., 11, 443–503.
Buhler, K. (1983) Instabilitaten spiralformiger Stromungen zwischen konzentrischen Kuglen. ZAMM, 63, T235 - T239.
Buhler, K. (1986) Stromungsmechanische Instabilitaten im Kugelspalt.Stromunnsmechanik und Stromungsmaschinen, 38, 11–24.
Buhler, K. and Oertel, II. (1982) Thermal cellular convection in rotating rectangular boxes. J. Fluid Mech., 114, 261–282.
Burkhalter, J. E. and Koschmieder, E. L. (1973) Steady supercritical Taylor vortex flow. J. Fluid Mech., 58, 547–560.
Busemann, A. (1971) Compressible flow in the thirties. Anon. Rev. Fluid Mech., 3, 1–12.
Busse, F. H. and Heikes, K. E. (1980) Convection in a rotating layer: A simple case of turbulence. Science, 208, 173–175.
Buzyna, G. and Veronis, G. (1971) Spin-up of a stratified fluid: theory and experiment. J. Fluid Mech.,50,579–608.
Buzyna, G.,Pfeffer, R. L. and Kung, R. (1984) Transition to geostrophic turbulence in a rotating differentially heated annulus. J. Fluid Mech.,145, 377–403.
Caldwell, D. R.Van Atta, C. W. and Helland, K. N. (1972) A laboratory study of the turbulent Ekman layer. Geophys. Fluid Dyn.,3, 125–160.
Chabert d’Hieres, G., Davies, P. A. and Didelle, H. (1987) A laboratory study of the lift forces on a moving solid obstacle in a rotating fluid. Coriolis Laboratory Technical Report, Institut de Mechanique, Grenoble, France.
Chabert d’Hieres, G., Davies, P. A. and Didelle, H. (1988) A laboratory study of the lift forces on a moving solid obstacle in a rotating fluid. Dyn. Atmos. Oceans, under review.
Champagne, F. H., Sleicher, C. A. and Wehrmann, O. H. (1967a) Turbulence measurements with inclined hot-wires. Part 1. J. Fluid Mech., 28, 153–176.
Champagne, F. H., Sleicher, C. A. and Chao, J. L. (1967b) Turbulence measurements with inclined hot-wires. Part 2. J. Fluid Mech., 28, 177–182.
Chin, D.-T. (1971) An experimental study of mass transfer on a rotating spherical electrode. J. Electrochem. Soc., 118, 1764–1769.
Chin, D.-T. and Litt, M. (1972a) Mass transfer to point electrodes on the surface of a rotating disk. J. Electrochem. Soc., 119, 1338–1343.
Chin, D.-T. and Litt, M. (1972b) An electrochemical study of flow instability on a rotating disk. J. Fluid Mech., 54, 613–625.
Chomaz, J. M., Rabaud, M., Basdevant, C. and Couder, Y. (1988) Experimental and numerical investigation of a forced circular shear layer. J. Fluid Mech.,187,I15–140.
Church, C. R. and Snow, J. T. (1979) The dynamics of natural tornadoes as inferred from laboratory simulations. J. Rech. Atmos., 13, 111–133.
Clayton, B. R. and Massey, B. S. (1967) Flow visualization in water: a review of techniques. J. Sci. Instrum., 44, 2–11.
Clutter, E. W. and Smith, A. M. O. (1961) Techniques of flow visualization using water as the working medium. Aero. Engrg., 20, 24–27, 75–76.
Coles, D. and Van Atta, C. W. (1966) Measured distortion of laminar circular Couette flow by end effects. J. Fluid Mech., 25, 513–521.
Colello, R. G. and Springer, G. S. (1966) Mass-transfer measurements with the technique of electrochemiluminescence. Int. J. Heat Mass Trans., 9, 1391–1399.
Collis, D. C. and Williams, M. J. (1959) Two-dimensional convection from heating wires at low Reynolds numbers. J. Fluid Mech., 6, 357–389.
Compte-Bellot, G. (1976) Hot-wire anemometry. Aim. Rev. Fluid Mech.,209–231.
Coney, J. E. R. and Simmers, D. A. (1979) A study of fully-developed, laminar, axial flow and Taylor vortex flow by means of shear stress measurements. J. Mech. Engrg. Sci., 21, 19–24.
Cooper, E. R., Jankowski, D. F., Neitzel, G. P. and Squire, T. H. (1985)
Experiments on the onset of instability in unsteady circular Couette flow. J. Fluid Mech.,161, 97–115.
Corrsin, S. (1963) Turbulence: experimental methods. Handbuch der Physik,VIII/2, eds. S. Flugge and C. Truesdell, 524–590 ( Springer-Verlag, Berlin ).
Couder, Y. (1984) Two-dimensional grid turbulence in a thin liquid film. J. Physique. Lett., 45, L353 - L360.
Couette, M. M. (1890) Etudes sur le frottement des liquides. Annal. Chimie Phys., 21, 433–510.
Dainty, J. C. (1975) Laser Speckle and Related Phenomena. ( Springer, Berlin).
Davies, P. A. and Rahm, L. (1982) The interaction between topography and a nonlinearly stratified rotating fluid. Phys. Fluids, 25, 1931–1934.
Davies, P. A. and Walin, G. (1977) Some further experiments with a heated rotating annulus having semi-conducting walls. Tellus, 29, 161–170.
Davis, W. and Fox, R. W. (1967) An evaluation of the hydrogen bubble technique for the quantitative determination of fluid velocities within clear tubes. J. Basic Engr., 89, 771–781.
Denardo, B. (1988) Equilibrium states of a rotating U-Tube. American J. Sci., under review.
Denison, E. B. and Stevenson, W. H. (1970) Oscillatory flow measurements with a directionally sensitive laser velocimeter. Rev. Sci. Instrum., 41, 1475–1478.
Dewey, F. C. Jr. (1976) Qualitative and quantitative flow field visualization utilizing laser-induced flourescence. Applications of nonintrusive instrumentation in fluid flow research, AGARD–CP–193, Paper No. 17.
Dickenson, S. C. and Long, R. R. (1983) Oscillating-grid turbulence including effects of rotation. J. Fluid Mech., 126, 315–333.
Dimotakis, P. E., Miake-Lye, R. C. and Papantoniou, D. A. (1983) Structure and dynamics of round turbulent jets. Phys. Fluids, 26, 3185–3192.
Dominguez-Lerma, M. A., Ahlers, G. and Cannell, D. S. (1985) Effects of “Kalliroscope” flow visualization on rotating Couette-Taylor flow. Phys. Fluids, 28, 1204–1206.
Dominguez-Lerma, M. A., Cannell, D. S. and Ahlers, G. (1986) Eckhaus boundary and wave-number selection in rotating Couette-Taylor flow. Phys. Rev., A34, 4956–4970.
Donnelly, R. J. (1958) Experiments on the stability of viscous flow between rotating cylinders. 1. Torque measurements. Proc. Roy. Soc. Lond., A286, 312–325.
Donnelly, R. J. and Reif, F. (1962) Study of hydrodynamic stability with ion current. Bull. Amer. Phys. Soc., 7, 371.
Donnelly, R. J., Reif, F. and Suhl, H. (1962) Enchancernent of hydrodynamic stability by modulation. Phys. Rev. Lett.. 9, 363–365.
Donnelly, R. J. and Tanner, D. J. (1965) Experiments on the stability of a viscous flow between rotating cylinders. V. The theory of the ion technique. Proc. Roy. Soc. Lond., A283, 520–530.
Donnelly, R. J. and Schwarz, K. W. (1965) Experiments on the stability of a viscous flow between rotating cylinders. VI. Finite amplitude experiments. Proc. Roy. Soc. Lond., A283, 531–556.
Donnelly, R. J., Park, K., Shaw, R. and Walden, R. W. (1980) Early nonperiodic transitions in Couette flow. Phys. Rev. Lett., 44, 987–989.
Douglas, H. A., Hide, R. and Mason, P. J. (1972) An investigation of the structure of baroclinic waves using three-level streak photography. Quart. J. Roy. Met. Soc., 98, 247–263.
Dudderar, T. D. and Simpkins, P. G. (1977) Laser speckle photography in a fluid medium. Nature, 270, 45–47.
Durst, F., Melling, A., and Whitelaw, J. H. (1981) Principles and practice of laser-Doppler anemometry. (Academic Press, London, New York )
Eichorn, R. (1961) Flow visualization and velocity measurement in natural convection with the tellurium dye method. J. Heat Trans., 83, 379–381.
Eisenberg, M., Tobias, C. W. and Wilke, C. R. (1954) Ionic mass transfer and concentration polarization at rotating electrodes. J. Electrochem. Soc., 101, 306–319.
Elkins, R. E., Jackman, G. R., Johnson, R. R., Lindgren, E. R. and Yoo, J. K. (1977) Evaluation of steroscopic trace particle records of turbulent flow fields. Rev. Sci. Instrum., 48, 738–746.
Erdmann, J. C. and Gellert, R. P. (1978) Recurrence rate correlation in scattered light intensity. J. Opt. Soc. Am., 68, 787–795.
Escudier, M. P. (1982) Vortex breakdown and the criterion for its occurrence. Topics in Atmospheric and Oceanographic Sciences: Intense Atmospheric Vortices, eds. L. Bengtsson and J. Lighthill, 247–257 ( Springer-Verlag, Berlin ).
Escudier, M. P. (1983) Vortex breakdown in the absence of an endwall boundary layer. Exp. Fluids, 1, 193–194.
Escudier, M. P. (1984) Observations of the flow produced in a cylindrical container by a rotating endwall. Exp. Fluids, 2, 189–196.
Escudier, M. P. and Zehnder, N. (1982) Vortex-flow regimes. J. Fluid Mech., 115, 105–121.
Escudier, M. P., Bornstein, J. and Zehnder, N. (1980) Observations and LDA measurements of confined turbulent vortex flow. J. Fluid Mech., 98, 49–63.
Escudier, M. P., Bornstein, J. and Maxworthy, T. (1982) The dynamics of confined vortices. Proc. Roy. Soc. Lond., A382, 335–360.
Euteneuer, G.-A. (1969) Storwellenlangen-Messung bei Langswirbeln in laminaren Grenzschlichten an konkav gekrummten Wanden. Acta Mech., 7, 161–168.
Euteneuer, G.-A. (1972) Eie entwicklung von Langswirbeln in zeitlich anwachsenden Grenzschlichten an konkaven Wanden. Acta. Mech., 13, 125–223.
Euteneuer, G.-A. and Reimann, J. (1971) Der Mechanismus der Sichtbarkeit von Gortler-Taylor-Wirbeln in Flussigkeiten mittels feingemahlenem Pulver. Acta Mech., 12, 89–97.
Fabris, G. (1978) Probe and method for simultaneous measurement of “true” instantaneous temperature and three velocity components in turbulent flow. Rev. Sci. Instrum., 49, 654–664.
Fage, A. and Falkner, V. M. (1931) On the relation between heat transfer and surface friction for laminar flow. Aero. Res. Counc., Lond., Rept. and Mem., No. 1408.
Faler, J. H. and Leibovich, S. (1978) An experimental map of the internal structure of a vortex breakdown. J. Fluid Mech.. 86, 313–335.
Faller, A. J. (1963) An experimental study of the instability of the laminar Ekman boundary layer. J. Fluid Mech., 15, 560–576.
Faller, A. J. and Kaylor, R. E. (1966) Investigations of stability and transition in rotating boundary layers. Dyn. Fluids Plasma, 309–329 ( Academic Press, New York ).
Faller, A. J. and Mooney, K. A. (1971) The Ekman boundary-layer stress due to flow over a regular array of hills. Bound. Layer Meteor., 2, 83–107.
Faller, A. J. and Porter, D. L. (1976) A note on eastern boundary currents in a laboratory analogue of the ocean circulation. Tellus, 28, 88–89.
Farmer, D., Hart, J. and Weidman, P. (1982) A phase space analysis of baroclinic flow. Phys. Leu., 91A, 22–24.
Fenstermacher, P. R., Swinney, H. L. and Gollub, J. P. (1979) Dynamical instabilities and the transition to chaotic Taylor vortex flow. J. Fluid Mech., 94, 103–128.
Fingerson, L. M. and Freymuth, P. (1983) Thermal Anemometers. Fluid Mechanics Measurements, ed. R. J. Goldstein, 99–154 ( Hemisphere Publishing, Washington ).
Firing, E. and Beardsley, R. C. (1976) The behavior of a barotropic eddy on a 13-plane. J. Phys. Ocean., 6, 57–65.
Fischer, K. (1931) Mitt. Hydraul. Inst. Munch., 4, 7.
Fitzjarrald, D. E. (1982) An investigation of wave-amplitude vacillation using a light-speckle velocity measuring technique. J. Phys. E: Sci. Instrum. 15, 911–915.
Flierl, G. R., Stern M. E. and Whitehead, J. A., Jr. (1983) The physical significance of modons: Laboratory experiments and general integral constraints. Dyn. Atm. Oceans, 7, 233–263.
Flower, J. R., MacLeod, N., and Shahbenderian, A. P. (1969) The radial transfer of mass and momentum in an axial fluid stream between coaxial rotating cylinders–I Experimental measurements. Chem. Engrg. Sci., 24, 637–650.
Focke, W. W. and Knibbe, P. G. (1986) Flow visualization in parallel-plate ducts with corrugated walls. J. Fluid Mech., 165, 73–77.
Foreman, J. W. Jr. (1967) Optical path-length difference effects in photomixing with multimode gas laser radiation. Appl. Opt., 6, 821–826.
Fortuin, J. M. H. (1960) Theory and application of two supplementary methods of constructing density gradient columns. J. Polymer Sci., 44, 505–515.
Foss, J. F. and Wallace, J. M. (1989) The measurement of vorticity in transitional and fully developed turbulent flows. Lecture Notes in Engineering: Advances in Fluid Mechanics Measurements, ed M. Gad-el-Hak ( Springer-Verlag, New York).
Fowlis, W. W. (1970) Techniques and apparatus for the fast and accurate measurement of fluid temperature and flow speed fields. Rev. Sci. Instrum., 41, 570–576.
Fowlis, W. W. (1979) Remote optical techniques for liquid flow and temperature measurement for Spacelab experiments. Opt. Engrg., 18, 281–286.
Fowlis, W. W. and Hide, R. (1965) Thermal convection in a rotating annulus of liquid: Effect of viscosity on the transition between axisymmetric and nonaxisymmetric flow regimes. J. Atm. Sci., 22, 541–558.
Fowlis, W. W. and Pfeffer, R. L. (1969) Characteristics of amplitude vacillation in a rotating, differentially heated fluid determined by a multi-probe technique. J. Atm. Sci., 26, 100–108.
Fowlis, W. W., Buckley, J. D. and Ruppert, J. W. (1972) The measurement of flow direction, flow speed, and temperature in a liquid using a miniaturized array of thermistor beads. Geophysical Fluid Dynamics Institute Tech. Rep. No. 37, Florida State University, Tallahassee, FL.
Fowlis, W. W., Pfeffer, R. L., Buzyna, G., Buckley, J. C. and Ruppert, J. (1974) The measurement of time-dependent fluid temperature and flow speed fields: Techniques, apparatus and results. Flow–Its Measurement and Control in Science and Industry, 1, ed. R. E. Wendt, Jr., 613–622 ( Instrument Society of America, Pittsburg ).
Frantisak, F., Palade de Iribarne, A., Smith, J. W. and Hummel, R. L. (1969) Nondisturbing tracer technique for quantative measurements in turbulent flow. Ind. Eng. Chem. Fundamentals, 8, 160–167.
Freymuth, P. (1968) Noise in hot-wire anemometers. Rev. Sci. Instrum., 39, 530–536.
Freymuth, P. (1977a) Frequency response and electronic testing for constant-temperature hot-wire anemometers. J. Phys. E: Sci. Instrum., 10, 705–710.
Freymuth, P. (1977b) Further investigation of the nonlinear theory for constant-temperature hot-wire aneometers. J. Phys. E: Sci. Instrum., 10, 710–713.
Freymuth, P. (1980) Sine-wave testing of non-cylindrical hot-film anemometers according to the Bellhouse-Schultz model. J. Phys. E: Sci. Instrum., 13, 98–102.
Freymuth, P. (1983) History of thermal aneometry. Handbook of Fluids in Motion, eds. N. P. Cheremisinoff and R. Gupta ( Ann Arbor Science, Ann Arbor )
Freymuth, P. (1989) Air flow visualization using titanium tetrachloride. Lecture Notes in Engineering: Advances in Fluid Mechanics Measurements, ed. M. Gad-el-Hak ( Springer-Verlag, New York).
Fuller, W. R. (1974) Calibration of a split-film sensor. MS thesis, University of Southern California, Los Angeles, CA.
Fultz, D. (1949) A preliminary report on experiments with thermally produced lateral mixing in a rotating hemispherical shell of liquid. J. Meteor., 6, 17–33.
Fultz, D. and Kaiser, J. A. C. (1971) The disturbing effects of probes in meteorological fluid-model experiments. J. Atm. Sci., 28, 1153–1164.
Garg, A. K. and Leibovich, S. (1979) Spectral characteristics of vortex breakdown flowfields. Phys. Fluids, 22, 2053–2064.
Geller, E. W. (1955) An electrochemical method of visualizing the boundary layer. J. Aeronaut. Sci., 22, 869–870.
Gershenfeld, N., Frazel, R. E. and Whitehead, J. A. Jr. (1981) Rotating flume with uniformly flowing linear stratified water. Rev. Sci. Instrum., 52, 1556–1559.
Gharib, M. and Willert, C. (1989) Particle tracing: Revisited. Lecture Notes in Engineering: Advances in Fluid Mechanics Measurements, ed. M. Gad-el-Hak ( Springer-Verlag, New York).
Gharib, M., Hernan, M. A., Yavrouian, A. H. and Sarohia, V. (1985) Flow velocity measurement by image processing of optically activated tracers. AIAA 23rd Aerospace Sciences Meeting, No. 85–0172.
Gibson, C. H. and Schwarz, W. H. (1963) Detection of conductivity fluctuations in a turbulent flow field. J. Fluid Mec/i., 16, 357–364
Glasstone, S. (1942) An Introduction to Electrochemistry, ( Van Nostrand, New York).
Goldsmith, H. L. and Mason, S. G. (1962) Particle motions in sheared suspensions. XII. The spin and rotation of disks. J. Fluid Mech., 12, 88–96.
Goldstein, R. J. (1983) Optical systems for flow measurement: Shadowgraph,Schlieren, and interferometric techniques. Fluid Mechanics Measurements, ed. R. L. Goldstein, 377–422 ( Hemisphere, Washington ).
Goiter, H. and Ranov, T. (1968) Unsteady rotating flow in a cylinder with a free surface. J. Basic Engrg., 90, 445–454.
Gorman, M. and Swinney, H. L. (1982) Spatial and temporal characteristics of modulated waves in the circular Couette system. J. Fluid Mech., 117, 123–142.
Gray, W. E. (1944) A chemical method of indicating transition in the boundary layer. Roy. Aircraft Estab. Tech. Note, No. 1466.
Green, A. (1968) An experimental study of the interactions between Ekman layers and an annular vortex. PhD thesis, Massachusetts Institute of Technology, Boston, MA.
Gregory, N., Stuart, J. T. and Walker, W. S. (1955) On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk. Phil. Trans. Roy. Soc. Lond., A248, 155–199.
Griffiths, R. W. and Linden, P. F. (1981) The stability of vortices in a rotating, stratified fluid. J. Fluid Mech., 105, 283–316.
Griffiths, R. W. and Hopfinger, E. J. (1987) Coalescing of geostrophic vortices. J. Fluid Mech. 178, 73–97.
Grousson, R. and Mallick, S. (1977) Study of flow patterns in a fluid by scattered laser light. Appl. Optics, 16, 2334–2336.
Haas, F. C. and Nissan, A. H. (1961) Experimental heat transfer characteristics of a liquid in Couette motion and with Taylor vorticies. Proc. Roy. Soc. Lond., A261, 215–226.
Hakimi, F. S. and Schowalter, W. R. (1980) The effects of shear and vorticity on deformation of a drop. J. Fluid Mech., 98, 635–645.
Hanratty, T. J. and Campbell, J. A. (1983) Measurement of wall shear stress. Fluid Mechanics Measurements, ed. R. L. Goldstein, 559–614 ( Hemisphere, Washington ).
Hansford, G. S. and Litt, M. (1968) Mass transport from a rotating disk into power-law liquids. Chem. Engrg. Sci., 23, 849–864.
Haritonidis, J. H. (1989) Measurements of mean and fluctuating wall shear stress. Lecture Notes in Engineering: Advances in Fluid Mechanics Measurements, ed. M. Gad-el-Hak ( Springer-Verlag, New York).
Hart, J. E. (1971) Instability and secondary motion in a rotating channel flow. J. Fluid Mech., 45, 341–351.
Hart, J. E. (1972) A laboratory study of baroclinic instability. Geophys. Fluid Dyn., 3, 181–209.
Hart, J. E. (1985) A laboratory study of baroclinic chaos on the f-plane. Tellus, 37A, 286–296.
Hart, J. E. and Kittleman, S. (1986) A method for measuring interfacial wave fields in the laboratory. Geophys. Astrophys. Fluid Dyn., 36, 179–185.
Hart, J. E., Toomre, J., Deane, A. E., Hurlburt, N. E., Glatzmaier, G. A., Fichtl, G. H., Leslie, F., Fowlis, W. W. and Gilman, P. A. (1986) Laboratory experiments on planetary and stellar convection performed on Spacelab 3. Science, 234, 61–64.
Harvey, E. N. (1940) Living Light. ( Princeton University Press, Princeton).
Hathaway, D. H. and Fowlis, W. W. (1986) Flow regimes in a shallow rotating cylindrical annulus with temperature gradients imposed on the horizontal boundaries. J. Fluid Mech., 172, 401–418.
Head, M. R. and Rani, V. V. (1971) Simplified presentation of Preston tube calibration. Aeronaut. Q., 22, 295–300.
Heikes, K. E. and Maxworthy, T. (1982) Observations of inertial waves in a homogeneous rotating fluid. J. Fluid Mech., 125, 319–345.
Heinrichs, R. M., Cannell, D. S., Ahlers, G. and Jefferson, M. (1988) Experimental test of the perturbation expansion for the Taylor instability at various wavevectors. Phys. Fluids, 31, 250–255.
Herzog, S. and Lumley, J. L. (1979) Determination of large eddy structures in the viscous sublayer: A progress report. Proceedings of the Dynamic Flow Conference, 869–336, P. O. Box 121, DK-2740 Skolunde, Denmark.
Hide, R. (1958) An experimental study of thermal convection in a rotating liquid. Proc. Roy. Soc. Lond., A250, 441–477.
Hide, R. and Titman, C. W. (1967) Detached shear layers in a rotating fluid. J. Fluid Mech.,29, 39–60.
Hide, R., Mason, P. J. and Plumb, R. A. (1977) Thermal convection in a rotating fluid subject to a horizontal temperature gradient: Spatial and temporal characteristics of fully developed baroclinic waves. J. Atm. Sci.. 34, 930–950.
Hinze, J. O. (1959) Turbulence, an introduction to its mechanism and theory.(McGraw Hill, New York).
Ho, C.-M. (1982) Response of a split film probe under electrical perturbations. Rev. Sci. Instrum., 58, 1240–1245.
Hopfinger, E. J., Browand, F. K. and Gagne, Y. (1982) Turbulence and waves in a rotating tank. J. Fluid Mech., 125, 505–534.
Howland, B., Pitts, W. H. and Gesteland, R. C. (1962) Use of electrochemiluminescence for visualizing fields of flow. Tech. Rep. 404, Research Laboratory of Electronics, M.I.T.
Hsueh, Y. and Legeckis, R. (1973) Western intensification in a rotating water tunnel. Geophys. Fluid Dyn., 5, 333–358.
Hudson, J. L., Tang, D, and Abell, S. (1978) Experiments on centrifugally driven thermal convection in a rotating cylinder. J. Fluid Mech., 86, 147–159.
Hummel, D. (1965) Untersuchungen uber das Aufplatzen der Wirbel an schlanken Deltaflugeln. Z. Flugwiss., 13, 158–168.
Iluner, B. and Hussey, R. G. (1977) Cylinder drag at low Reynolds number. Phys. Fluids, 20, 1211–1218.
lbbetson, A. (1967) Some laboratory experiments on Rossby waves in a rotating annulus. Tellus, 19, 81–87.
Ibbetson, A. and Tritton, D. J. (1975) Experiments on turbulence in a rotating fluid. J. Fluid Mech., 68, 639–672.
Imaichi, K. and Ohmi, K. (1983) Numerical processing of flow-visualization pictures–measurement of two-dimensional vortex flow. J. Fluid Mech., 129, 283–311.
Ingram, G. R. (1971) Experiments in a rotating source-sink annulus. PhD thesis, Massachusetts Intsitute of Technology, Cambridge, MA.
Iribarne, A., Frantisak, F., Hummel, R. L. and Smith, J. W. (1972) An experimental study of instabilities and other flow properties of a laminar pipe jet. Amer. Inst. Chem. Engr. J., 18, 689–698.
Jeffrey, G. B. (1922) The motion of ellipsoidal particles immersed in a viscous fluid. Proc. Roy. Soc. Lond., A102, 161–179.
Jeong, K. and Park, K. (1987) Observation of a very-low-frequency oscillation in a Taylor-Couette flow. Phys. Rev., A35, 4854–4855.
Jerskey, T. and Penner, S. S. (1973) Velocity profiles in steady and unsteady rotating flows for a finite cylindrical geometry. Phys. Fluids, 16, 769–774.
Johnston, J. P., Halleen, R. M. and Lezius, D. K. (1972) Effects of spanwise rotation on the structure of two-dimensional fully developed turbulent channel flow. J. Fluid Mech., 56, 533–557.
Jonas, P. R. and Kent, P. M. (1979) Two-dimensional velocity measurement by automatic analysis of trace particle motion. J. Phys. E: Sci. Instrum., 12, 604–609.
Joseph, D. D., Beavers, G. S. and Fosdick, R. L. (1973) The free surface on a liquid between cylinders rotating at different speeds. Part I1. Arch. Rat. Mech. Anal., 49, 381–401.
Joseph, D. D., Nguyen, K. and Beavers, G. S. (1984a) Non-uniqueness and stability of the configuration of flow of immiscible fluids with different viscosities. J. Fluid Mech., 141, 319–345.
Joseph, D. D., Beavers, G. S., Cers, A., Dewald, C., Hoger, A. and Than, P. T. (1984b) Climbing constants for various liquids. J. Rheology, 28, 325–345.
Kabanov, G. N. and Siver, Y. G. (1948) Zhur. Fiz. Khirn., 22, 53. See also Levich, V. G., Physicochemical Hydrodynamics. ( Printice Hall, New Jersey, 1962 ).
Karlsson, S. K. F. and Snyder, H. A. (1965) Observations on a thermally induced instability between rotating cylinders. Annals Phys., 31, 314–324.
Kataoka, K. (1975) Heat-transfer in a Taylor vortex flow. J. Chem. Engrg. Japan, 8, 271–276.
Kaye, J. and Elgar, E. C. (1958) Modes of adiabatic and diabatic fluid flow in an annulus with an inner rotating cylinder. A.S.M.E. Trans., 80, 753–765.
Keller, J. J. and Escudier, M. P. (1980) Theory and observations of waves on hollow-core vortices. J. Fluid Mech., 99, 495–511.
Kidron, I. (1966) Measurement of the transfer function of hot-wire and hot-film turbulence transducers. IEEE Trans. Instrum. Meas., 15, 76–81.
King, G. P., Li, Y., Lee, W., Swinney, H. L. and Marcus, P. S. (1984) Wave speeds in wavy Taylor-vortex flow. J. Fluid Mech., 141, 365–390.
King, L. V. (1914) On the convection of heat from small cylinders in a stream of fluid: Determination of the convection constants of small platinum wires, with applications to hot-wire anemometry. Proc. Roy. Soc. Lond., 90, 563–570.
Kohuth, K. R. and Neitzel, G. P. (1988) Experiments on the stability of an impulsively-initiated circular Couette flow. Exp. Fluids, to appear.
Koop, G. C. (1976) Instability and turbulence in a stratified shear layer. PhD thesis, University of Southern California, Los Angeles, CA.
Koschmieder, E. L. (1972) Convection in a rotating laterally-heated annulus. J. Fluid Mech., 51, 637–656.
Koschmieder, E. L. (1979) Turbulent Taylor vortex flow. J. Fluid Mech., 93, 5IS-527.
Koschmieder, E. L. and Lewis, E. R. (1986) Hadley circulations on a nonuniformly heated rotating plate. J. Atm. Sci., 43, 2514–2526.
Kung, R. K., Buzyna, G. and Pfeffer, R. L. (1987) Velocity and temperature measurement with thermistor anemometers in a thermally stratified rotating fluid. J. Phys. E: Sci. Instrum., 20, 461–467.
Kreith, F., Taylor, J. H. and Chong, J. P. (1959) Heat and mass transfer from a rotating disk. J. Heat Transfer, 81, 95–105.
Kreith, F., Ellis, D. and Giesing, J. (1962) Boundary layer and transition characteristics of a rotating cone. A.S.M.E., Paper No. 62-WA-105 ( American Society of Mechanical Engineers, New York).
Krothapalli, A. and Smith, C. A. (1989) Particle image displacement velocimetry. Lecture Notes in Engineering: Advances in Fluid Mechanics Measurements, ed. Gadel-Hak ( Springer-Verlag, New York )
Krumdieck, S. and Weidman, P. D. (1988) The shape and stability of rotating capillary rivulets. Bull. Amer. Phys. Soc., 30, 1732.
Lamb, D. E., Manning, F. S. and Wilhelm, R. H. (1960) Measurement of concentration fluctuations with an electrical conductivity probe. Amer. Inst. Chem. Eng. J., 6, 682–685.
Lambert, R. B., Snyder, H. A. and Karlsson, S. K. F. (1965) Hot thermistor anemometer for finite amplitude stability measurements. Rev. Sci. Instr., 36, 924–928.
Lambert, R. B. and Snyder, H. A. (1966) Experiments on the effect of horizontal shear and change of aspect ratio on convective flow in a rotating annulus. J. Geophys. Res., 71, 5225–5234.
Lambert, R. B. and Davey, M. (1974) Continuously direct-reading polarimeter for density contrast measurements in optically active solutions. Rev. Sci. Instrum., 45, 1531–1536.
Larsen, J. and Rosner, K. G. (1982) Optical flow-velocity measurement in irregularly shaped cavities. Recent Contributions to Fluid Mechanics, ed. W. Haase ( Springer-Verlag, Berlin).
Lasso, I. and Weidman, P. D. (1986) Stokes drag on hollow cylinders and conglomerates. Phys. Fluids, 29, 3921–3934.
Lauterborn, W. and Vogel, A. (1984) Modern optical techniques in fluid mechanics. Ann. Rev. Fluid Mech., 16, 223–244.
Leveque, M. A. (1928) Transmission de chaleur par convection. Ann. des Mines, 13, 201–299.
Liepmann, H. W. and Skinner, G. T. (1954) NACA Tech. Note No. 3268.
Linden, P. F. (1977) The flow of a stratified fluid in a rotating annulus. J. Fluid Mech., 79, 435–447.
Leehey, P. (1989) Dynamic wall pressure measurements. Lecture Notes in Engineering: Advances in Fluid Mechanics Measurements, ed. M. Gad-el-Hak ( Springer-Verlag, New York).
Levich, V. G. (1942) Acta Physicochim. U.R.S.S., 17, 257. See also Levich, V. G., Physicochemical Hydrodynamics. ( Printice Hall, New Jersey, 1962 ).
Levich, V. G. (1962) Physicochemical Hydrodynamics. ( Printice Hall, New Jersey).
Li, G.-Q., Kung, R. and Pfeffer, R. L. (1986) An experimental study of baroclinic flows with and without two-wave bottom topography. J. Atm. Sci., 43, 2585–2599.
Ling, S. C. (1955) Measurements of flow characteristics by the hot-film technique. PhD thesis, State University of Iowa, Ames, Iowa.
Ling, S. C. (1960) Heat-transfer characteristics of hot-film sensing element used in flow measurement. J. Basic Engrg., 82, 629–634.
Ling, S. C. and Hubbard, P. G. (1956) The hot-film: A new device for fluid mechanics research. J. Aeronaut. Sci., 23, 890–891.
Lorenzen, A. (1985) Anomalous modes and finite length effects in Taylor Couette flow. Max-Planck-Instutut Fur Stromungslorschung, Bericht 102, Gottingen.
Lourenco, L. and Krothapalli, A. (1987) The role of photographic parameters in laser speckle or particle image displacement velocimetry. Exp. Fluids, 5, 29–32.
Lowell, H. H. and Patton, N. (1955) NACA Tech. Note No. 3415.
Luguovtsov, B. A. (1982) Laboratory models of tornado-like vortices. Topics in Atmospheric and Oceanographic Sciences: Intense Atmospheric Vortices, eds. L. Bengtsson and J. Lighthill, 299–312 ( Springer-Verlag, Berlin ).
Ludwieg, H. (1964) Experimentelle Nachprufung der Stabilitatstheorien fur reibungsfreie Stromungen mit schraubenlinienformigne Stromlinien. Z. Flugwiss., 12, 304–309.
Lumley, J. L. (1962) The constant temperature hot-thermistor. ASME Symposium Proceedings: Measurements in Unsteady Flow. ( ASME, New York).
L’vov, V. S. and Predtechensky, A. A. (1979) On Landau and “stochastic attractor” pictures in the problem of transition to turbulence. Institute of Automation and Electrometry, Siberian Branch, USSR Academy of Science, Preprint No. Ill.
Malkus, W. V. R. (1968) Precession of the Earth as a couse of geomagnetism. Science, 160, 259–264.
Mallock, A. (1889) Determination of the viscosity of water. Proc. Roy. Soc. Lond., A45, 126–132.
Mallock, A. (1896) Experiments on Fluid Viscosity. Phil Trans. Roy. Soc. Load., A187, 41–56.
Maltby, R. L. and Keating, R. F. A. (1962) Smoke techniques for use in low speed wind tunnels. AGARDograph, No. 70, 87–109.
Manuel, F., Crespo, A. and Castro, F. (1987) Wave and cavity propagation along a tip vortex interface. Physico-Chemical Hydrodynamics, 9, 611–630.
Mason, P. J. (1975) Forces on bodies moving transversely through a rotating fluid. J. Fluid Mech., 71, 577–599.
Maxworthy, T. (1965) An experimental determination of the slow motion of a sphere in a rotating viscous fluid.J. Fluid Mech.
Mason, P. J. (1977) Forces on spheres moving horizontally in a rotating stratified fluid. Geophys. Astrophys. Fluid Dyn., 8, 137–154.
Matisse, P. and Gorman, M. (1984) Neutrally buoyant anisotropic particles for flow visualization. Phys. Fluids, 27, 759–760.
Maxworthy, T. (1965) An experimental determination of the slow motion of a sphere in a rotating viscous fluid. J. Fluid Mech., 23, 373–384.
Maxworthy, T. (1967) The flow creating a concentration of vorticity over a stationary plate. Jet Prop. Lab. Space Prog. Sum., IV, 243–250.
Maxworthy, T. (1968) The observed motion of a sphere through a short, rotating cylinder of fluid. J. Fluid Mech., 31, 543–655.
Maxworthy, T. (1970) The flow created by a sphere moving along the axis of a rotating, slightly-viscous fluid. J. Fluid Mech., 40, 453–479.
Maxworthy, T. (1972) On the structure of concentrated, columnar vortices. Astron. Acta., 17, 363–374.
Maxworthy, T. (1982) The laboratory modelling of atmospheric vortices: A critical review. Topics in Atmospheric and Oceanographic Sciences: Intense Atmospheric Vortices, eds. L. Bengtsson and J. Lighthill, 229–246 ( Springer-Verlag, Berlin ).
Maxworthy, T. (1983) Experiments on solitary internal Kelvin waves. J. Fluid Mech., 129, 365–383.
Maxworthy, T. and Browand F. K. B. (1974) Experiments in rotating and stratified flows: Oceanographic application. Ann. Rev. Fluid Mech., 7, 273–305.
Maxworthy, T., Hopfinger, E. J. and Redekopp, L. G. (1985) Wave motions on vortex cores. J. Fluid Mech., 151, 141–165.
Mazumder, M. K. and Wankum, D. L. (1969) SNR and spectral broadening in turbulence structure measurement using CW laser. IEEE J. Quant. Electr., 5, 316–318.
McGoldrick, L. F. (1970) An experiment on second-order capillary gravity resonant wave interactions.J. Fluid Mech.
McEwan, A. D. (1982) Convection and mixing at high Rossby numbers in rotating systems. Topics in Atmospheric and Oceanographic Sciences: Intense Atmospheric Vortices, eds. L. Bengtsson and J. Lighthill, 271–283 ( Springer-Verlag, Berlin ).
McGoldrick, L. F. (1970) An experiment on second-order capillary gravity resonant wave interactions. J. Fluid Mech., 40, 251–271.
Merzkirch, W. (1987) Flow Visualization. ( Academic Press, New York).
Mellor, G. L., Chapple, P. J. and Stokes, V. K. (1968) On the flow between a rotating and a stationary disk. J. Fluid Mech., 31, 95–112.
Meynart, R. (1980) Equal velocity fringes in a Rayleigh-Benard flow by a speckle method. Appl. Optics, 19, 1385–1386.
Meynart, R. (1983) Speckle velocity study of vortex pairing in a low-Re unexcited jet. Phys. Fluids, 26, 2074–2079.
Mizushina, T. (1971) Advances in Heat Trans/er, 7, p. 87 ( Academic Press, New York ).
Moore, J. (1967) Gas Turbine Lab, M.I.T. Rep. No. 89.
Morris, J. T. (1912) The electrical measurement of wind velocity. Engineering, 94, 892–894.
Mory, M., Stern, M. E. and Griffiths, R. W. (1987) Coherent baroclinic eddies on a sloping bottom. J. Fluid Mech., 183, 45–62.
Mullen, J. B. and Maxworthy, T. (1977) A laboratory study of dust devil vorticies. Dyn. Atm. Oceans 1, 181–214.
Mueller, T. J. (1983) Flow visualization by direct injection. Fluid Mechanics Measurements, ed. R. L. Goldstein, 307–372 ( Hemisphere, Washington ).
Mullin, T. (1982) Mutations of steady cellular flows in the Taylor experiment. J. Fluid Mech., 121, 207–218.
Mullin, T., Lorenzen, A. and Pfister, G. (1983) Transition to turbulence in a nonstandard rotating flow. Phys. Lett., 96A, 236–238.
Mullin, T., Tavener, S. J. and Cliffe, K. A. (1987) A codimension-2 bifurcation in Taylor-Couette flow with rotating ends. TP No. 1231, Theorteical Physics Division, Harwell Laboratory, Oxon, England.
Nakatani, N. Fujiwara, K. Matsumoto, M. and Yamada, T. (1971) Measurement of flow velocity distribution by luminescence. Japan J. App/. Phys., 10, 1748–1749.
Nakatani, N. Fujiwara, K. Matsumoto, M. and Yamada, T. (1975) Measurement of velocity distributions by pulse luminescence method. J. Phys. E: Sci. Instrum., 8, 1042–1056.
Narimousa, S. and Maxworthy, T. (1985) Two-layer model of shear-driven coastal upwelling in the presence of bottom topography. J. Fluid Mech., 159, 503–531.
Niler, P. P. (1965) Performance of a thermistor anemometer in constant density shear flow. Rev. Sci. Instr., 36, 921–924.
Oberbeck, A. (1895) Uber die Abkuehlende Wirkung von Lufstroemen. Annalen Physik Chemie, 56, 397–411.
Ohji, M., Shionoya, S. and Amagai, K. (1986) Mode selection in the transition of circular Couette flow. Proceedings of the 3rd Asian Congress on Fluid Mechanics, 34–37, Tokyo, Japan.
Ohji, M. (1987) Structure of modulated wavy vortical flows in the circular Couette system. IUTAM Symposium on Fundamental Aspects of Vortex Motion, 92–95, Tokyo, Japan.
Ohlsen, D. (1988) Nonlinear baroclinic instability on the beta-plane. PhD thesis, University of Colorado, Boulder, CO.
Oster, G. (1965) Density gradients. Sci. Amer., 213, 70–76.
Owen, F. S., Hale, R. W., Johnson, B. V. and Travers, A. (1961) Experimental investigation of characteristics of confined jet-driven vortex flows. United Aircraft Res. Lab. Rep., No. R-2494–2, AD-328.
Park, K. and Donnelly, R. J. (1981) Study of the transition to Taylor vortex flow. Phys. Rev., A24, 2277–2279.
Park, K., Crawford, G. L. and Donnelly, R. J. (1983) Characteristic lengths in the wavy vortex state of Taylor-Couette flow. Phys. Rev. Lett.. 51, 1352–1354.
Penner, S. S. and Jerskey, T. (1973) Use of lasers for local measurement of velocity components, species densities, and temperatures. Ann. Rev. Fluid Mech., 5, 9–30.
Penney, C. M. (1969) Differential doppler velocity measurements. IEEE J. Quant. Electr., 318, 318.
Perry, A. E. (1982) Hot Wire Anemometry. ( Clarendon Press, Oxford).
Perry, A. E. and Morrison, G. L. (1971) A study of the constant-temperature hot-wire anemometer. J. Fluid Mech., 47, 577–599.
Pfeffer, R. L., Fowlis, W. W., Fein, J. and Buckley, J. (1970) Experimental determination of the transition between the symmetrical and wave regimes in a rotating differentially heated annulus of fluid. Rev. Pure Appl. Geophys., 81, 263–271.
Pfeffer, R. L., Buzyna, G. and Kung, R. (1980a) Time-dependent modes of behavior of thermally driven rotating fluids. J. Atmos. Sci., 37, 2129–2149.
Pfeffer, R. L., Buzyna, G. and Kung, R. (1980b) Relationships among eddy fluxes of heat, eddy temperature variances and basic-state temperature parameters in thermally dirven rotating fluids. J. Atrnos. Sci., 37, 2577–2599.
Pfister, G., Gerdts, U., Lorenzen, A. and Schatzel, K. (1983) Hardware and software implementation of on-line velocity correlation measurements in oscillatory and turbulent rotational Couette flow. Photon Correlation Techniques in Fluid Mechancis, ed. Schultz-duBois ( Springer-Verlag, Berlin).
Plateau, J. (1863) Experimental and theoretical researches on the figures of equilibrium of a liquid mass withdrawn from the action of gravity. Annual Report of the Board of Regeants of the Smithsonian Institution, (Government Printing Office, Washington, D. C.).
Pope, A. (1958) Wind-tunnel testing. ( Wiley, New York).
Popovich, A. T. and Hummel, R. L. (1967) A new method for non-disturbing turbulent flow measurements very close to the wall. Chem. Eng. Sci., 22, 21–25.
Prandtl, L. (1904) Uber Slussigkeitsbewegung bei sehr kleiner Reibung.
Proceedings 3rd International Mathematics Congress 484–491 (Heidelberg, Germany).
Prandtl, L. (1937) Betrachtungen zur Mechanik der freien Atmosphare.Abhandlungen der Gesellschaft der Wissencha/ten zu Gottingen, Mathematisch physikalische Klasse, III, Folge, Heft 18, 75–84.
See also Ludwig Prandtl Gesammelte Abhandlungen 1100–1108 (Springer-Verlag, Berlin, 1961).
Prausnitz, J. M. and Wilhelm, R. H. (1956) Turbulent concentration fluctuations through electrical conductivity measurements. J. Sci. Instrum., 26, 941–943.
Preston, J. H. (1953) The determination of turbulent skin friction by means of Pitot tubes. J. Roy. Aero. Soc., 58, 109–121.
Pritchard, W. G. (1969) The motion generated by a body moving along the axis of a uniformly rotating fluid. J. Fluid Mech., 39, 443–464.
Rabaud, M. and Couder, Y. (1983) A shear-flow instability in a circular geometry. J. Fluid Mech. 136, 291–319.
Rasmussen, R. A. (1962) Application of thermistors to measurements in moving fluids. Rev. Sci. Instr., 33, 38–42.
Read, P. L. and Hide, R. (1984) An isolated baroclinic eddy as a laboratory analogue of the Great Red Spot on Jupiter. Nature, 308, 45–48.
Redon, M. H. and Vinsonneau, M. F. (1936) Etude de l’ecoulement de l’air autour d’une maquette. Aeronautique, 18, 60–66.
Reif, F. and Meyer, L. (1960) Study of superfluidity in liquid He by ion motion. Phys. Rev., 119, 1164–1173.
Renouard, D. P., Chabert D’Hieres, G. and Zhang, X. (1987) An experimental study of strongly nonlinear waves in a rotating system. J. Fluid Mech., 177, 381–294.
Riabouchinsky, D. (1909) Appareil pour l’etude du frottement de l’air contre un plan. Bull. Inst. Aerodyn. Doutchino, 2, 115–120.
Richards, E. J. and Burstall, F. H. (1945) The “China Clay” method of indicating transition. Rep. Memor. Aero. Res. Coun., Lond., No. 2126.
Rignot, E. J. M. and Spedding, G. R. (1988) Performance analysis of automated image processing and grid interpolation techniques for fluid flows. Univ. Southern. Cal. Aero. Engr. Rep., No. 143.
Robinson, D. A. (1968) The electrical properties of metal microelectrodes. Proc. IEEE, 56, 1065–1071.
Rodriguez, J. M., Patterson, G. K. and Zakin, J. L. (1970) J. Hydronautics, 4, 16–21.
Ronnenberg, B. (1977) Ein selfstjustierendes 3-Komponenten-Laserdoppler-anemometer nach dem Vergleichsstrahlverfahern, angewandt fur Untersuchungen in einer stationaren zylindersymmetrischen Drehstromung mit einem Ruckstromgebiet. Max-Planck-Institute Fur Stromungs/orschung, ISSN 0436–1199.
Ross, M. P. and Hussain A. K. M. F. (1987) Effects of cylinder length on transition to doubly periodic Taylor-Couette flow. Phys. Fluids, 30, 607–609.
Rossby, H. T. (1969) A study of Benard convection with and without rotation. J. Fluid Mech., 36, 309–335.
Ruiz, X., Massons, F. D., Aguilo, M. and Gali, S. (1986) Image processing of Czochralski bulk flow. J. Crystal Growth, 79, 92–95.
Roesner, K. G. (1988) Zur Wirbelbidund in rotierenden fluessigkeiten. ZAMM, 68, to appear.
Sandborn, V. A. (1972) Resistance temperature transducers. ( Metrology Press, Fort Collins).
Sarpkaya, T. (1971) On stationary and travelling vortex breakdowns. J. Fluid Mech., 45, 545–559.
Savas, O. (1983) Circular waves on a stationary disk in rotating flow. Phys. Fluids, 26, 3445–3448.
Savas, O. (1985) On flow visualization using reflective flakes. J. Fluid Mech., 152, 235–248.
Savas, O. (1987) Stability of Bodewadt flow. J. Fluid Mech., 183, 77–94.
Schaflinger, U. (1987) Enhanced centrifugal separation with finite Rossby numbers in cylinders with compartment walls. Chem. Engrg. Sci., 42, 1197–1205.
Schaflinger, U., Koppl, A. and Filipezak, G. (1986) Sedimentation in cylindrical centrifuges with compartments. Ing. Arch., 56, 321–331.
Schaflinger, U. and Stibi, H. (1987) On centrifugal separation of suspensions in cylindrical vessels. Acta Mech., 67, 163–181.
Schanne, O. F., Lavallee, M. Laprade, R. and Gagne, S. (1968) Electrical properties of glass microelectrodes. Proc. IEEE, 56, 1072–1082.
Schmitt, R. W. and Lambert, R. B. (1979) The effects of rotation on salt fingers. J. Fluid Mech., 90, 449–463.
Schultz-Grunow, F. and Hein, H. (1956) Beitrag zur Couettestromung. Z.Flugwiss., 4, 28–30.
Schwarz, K. W., Springett, B. E. and Donnelly, R. J. (1964) Modes of instability in spiral flow between rotating cylinders. J. Fluid Mech., 20, 281–289.
Schraub, F. A., Kline, S. J., Henry, J., Runstadler, P. W., Jr. and Littell, A. (1965) Use of hydrogen bubbles for quantitative determination of time-dependent velocity fields in low-speed water flows. J. Basic Engrg., 87, 429–444.
Sdougos, H. P., Bussolari, S. R. and Dewey, C. F. (1984) Secondary flow and turbulence in a cone-and-plate device. J. Fluid Mech., 138, 379–404.
Shulz-DuBois, E. O. and Rehberg, L. (1981) Structure function in lieu of correlation function. Appl. Phys., 24, 323–329.
Shirtcliffe, T. G. L. and Turner, J. S. (1970) Observations of the cell structure of salt fingers. J. Fluid Mech., 41, 707–720.
Simmers, D. A. and Coney, J. E. R. (1979) The experimental determination of velocity distribution in annular flow. Int. J. Heat and Fluid Flow, 1, 177–184.
Simmers, D. A. and Coney, J. E. R. (1980) Velocity distributions in Taylor vortex flow with imposed laminar axial flow and isothermal surface heat transfer. Int. J. Heat and Fluid Flow, 2, 85–91.
Simpkins, P. G. and Dudderar, T. D. (1978) Laser speckle measurements of transient Benard convection. J. Fluid Mech., 89, 665–671.
Simpson, R. L. (1989) Scanning laser anemometry and other measurement techniques for separated flows. Lecture Notes in Engineering: Advances in Fluid Mechanics Measurements, ed. M. Gad-el-Hak ( Springer-Verlag, New York).
Sirivat, A., Rajagopal, K. R. and Szeri, A. Z. (1988) An experimental investigation of the flow of non-Newtonian fluids between rotating disks. J. Fluid Mech., 186, 243–256.
Snow, J. T. (1982) Pressure fields beneath tornado-like vortices. Topics in Atmospheric and Oceanographic Sciences: Intense Atmospheric Vortices, eds. L. Bengtsson and J. Lighthill, 259–270 (Springer-Verlag Berlin).
Snyder, H. A. and Karlsson, S. K. F. (1964) Experiments on the stability of Couette motion with a radial thermal gradient. Phys. Fluids, 7, 1696–1706.
Snyder, H. A. and Lambert, R. B. (1966) Harmonic generation in Taylor vorticies between rotating cylinders. J. Fluid Mech., 26, 545–562.
So, K. L. (1967) Vortex phenomena in a conical diffuser. AIAA J., 5, 1072–1078.
Soloukhin, R. I., Curtis, C. W. and Emrich, R. J. (1981) Measurement of Pressure. Methods of Experimental Physics: Fluid Dynamics–Part B, 18, ed. R. J. Emrich, 499–610 ( Academic Press, New York ).
Sommeria, J., Meyers, S. D. and Swinney, H. L. (1989) Experiments on vortices and Rossby waves in eastward and westward jets. Nonlinear Topics in Ocean Physics, ed. A. Osborne ( North Holland, Amsterdam).
Sommerscales, E. F. C. (1981) Measurement of velocity: Tracer methods. Methods of Experimental Physics: Fluid Dynamics–Part A, 18, ed. R. J. Emrich, 1–240 ( Academic Press, New York ).
Spence, D. A. and Brown, G. L. (1968) Heat transfer to a quadratic shear profile. J. Fluid Mech., 33, 753–773.
Springer, G. S. (1964) Use of electrochemiluminescence in the measurement of mass transfer rates. Rev. Sci. Instrum., 35, 1277–1280.
Staritz, R. F. (1960) Die Elektronische Messung der Stroemungsgeschwindligkeit und der Turbulenz, VDI Zeitschrift, 102, 94–97.
Stern, M. E., Whitehead, J. A. and Hua, B.-L. (1982) The intrusion of a density current along the coast of a rotating fluid. J. Fluid Mech., 123, 237–265.
Stommel, H., Arons, A. B., Faller, A. J. (1958) Some examples of stationary planetary flow patterns in bounded basins. Tellus, 10, 179–187.
Sullivan, D. L. (1972) Alignment of rotational prisms. Appl. Opt., 11, 2028–2032.
Szeri, A. Z., Schneider, S. J., Labbe, F. and Kaufman, II. N. (1983) Flow between rotating disks. Part I. Basic flow. J. Fluid Mech., 134, 103–131.
Tagg, R., Cammack, L., Croonquist, A. and Wang, T. G. (1980) Rotating liquid drops: Plateau’s experiment revisited. Jet Prop. Lab. Pub., No. 80–66.
Takeuchi, D. I. and Jankowski, D. F. (1981) A numerical and experimental investigation of the stability of spiral Poiseuille flow. J. Fluid Mech., 102, 101-126.
Tam, W. Y. and Swinney, H. L. (1988) Mass transport in turbulent Couette-Taylor flow. Submitted to Phys. Rev. A.
Taneda, S. and Honji, H. (1971) Unsteady flow past a flat plate normal to the direction of motion. J. Phys. Soc. Japan, 30, 262–272.
Taneda, S., Honji, H. and Tatsuno, A. (1974) The behaviour of tracer particles in flow visualization by electrolysis of water. J. Phys. Soc. Japan, 37, 784–788.
Tatro, P. R. and Mollo-Christensen, E. (1967) Experiments on Ekman layer instability. J. Fluid Mech., 28, 531–543.
Taylor, G. I. (1917) Motion of solids in fluids when the flow is not irrotational. Proc. Roy. Soc. Lond., A93, 99–113.
Taylor, G. I. (1922) The motion of a sphere in a rotating liquid. Proc. Roy. Soc. Lond., A102, 180–189.
Taylor, G. I. (1923a) Experiments on the motion of solid bodies in rotating fluids. Proc. Roy. Soc. Lond., A104, 213–218.
Taylor, G. I. (1923b) Stability of a viscous liquid contained between two rotating cylinders, Phil. Trans. Roy. Soc. Lond., A223, 289–343.
Taylor, G. I. (1935) Distribution of velocity and temperature between concentric rotating cylinders. Proc. Roy. Soc. Lond., A151, 494–512.
Taylor, G. I. (1936) Fluid friction between rotating cylinders. I–Torque measurements. Proc. Roy. Soc. Lond., A157, 546–564.
Thompson, J. (1855) Report made to the President and Council of the Royal Society, of experiments on the friction of discs revolving in water. Proc. Roy. Soc. Lond., 7, 509–511.
Tietjens, O. G. (1934) Applied Hydro-and Aeromechanics. ( Dover, New York, 1957 ).
Tritton, D. J. (1985) Experiments on turbulence in geophysical fluid dynamics. I. Turbulence in rotating fluids. Proc. International School of Physics, “Enrico Fermi” Course LXXXVIII: Turbulence and predictability in geophysical fluid dynamics and climate dynamics, 172–192 ( Soc. Stat. Fis., North Holland )
Truxillo, S. G. and Hussey, R. G. (1969) Delay times in fluid spin-up; Contrast to liquid helium. Phys. Rev. Lett., 22, 509–510.
Turner, J. S. and Lilly, D. K. (1963) The carbonated-water tornado vortex. J. Atmos. Sci., 20, 468–471.
Unwin, W. C. (1885) Experiments on the friction of disks rotated in fluid. Inst. Civ. Engin. Proc., 80, 221–230.
Van Atta, C. (1966) Exploratory measurements in spiral turbulence. J. Fluid Mech., 25, 495–512.
Vehrenkamp, R., Schatzel, K., Pfister, G. and Schultz-DuBois, E. O. (1979a) Direct measurement of velocity correlation functions using the Erdmann-Gellert rate correlation technique. J. Phys. E: Sci. Instrum., 12, 119–125.
Vehrenkamp, R., Schatzel, K., Pfister, G., Fedders, B. S. and Schultz-DuBois, E. O. (1979b) A comparison between analog LDA, photon correlation LDA and rate correlation techniques. Physica Scripta, 19, 379–382.
Versteegen, P. L. and Jankowski, D. F. (1969) Experiments on the stability of viscous flow between eccentric rotating cylinders. Phys. Fluids, 12, 1138–1143.
Vogel, H. U. (1971) Uber den stetigen Anschluss reibungsfreier Stromungen an Stromungsfelder met Newtonscher Reibung. ZAMM, 51, T177 - T179.
Walden, R. W. and Donnelly, R. J. (1979) Reemergent order of chaotic circular Couette flow. Phys. Rev. Lett., 42, 301–304.
Walsh, T. J., Wagner, W. T. and Donnelly, R. J. (1987) Stability of modulated Couette flow. Phys. Rev. Leu., 58, 2543–2546.
Wan, C. A. and Chang, C. C. (1972) Measurement of the velocity field in a simulated tornado-like vortex using a three-dimensional velocity probe. J. Atmos. Sci., 29, 116–127.
Wan, C. C. and Coney, J. E. R. (1980) Transition modes in adiabatic spiral vortex flow in narrow and wide annular gaps. Int. J. Heat and Fluid Flow, 2, 131–138.
Wan, C. C. and Coney, J. E. R. (1982) An investigation of adiabatic spiral vortex flow in wide annular gaps by visualisation and digital analysis. Int. J. Heat and Fluid Flow, 3, 39–44.
Wang, T. G., Trinh, E. H., Croonquist, A. P. and Elleman, D. D. (1986) Shapes of rotating free drops: Spacelab experimental results. Phys. Rev. Leu., 56, 452–455.
Warn-Varnas, A., Fowlis, W. W., Piacsek, S. and Lee, S. M. (1978) Numerical solutions and laser-Doppler measurements of spin-up. J. Fluid Mech., 85, 609–639.
Warpinski, N. R., Nagib, H. M. and Lavan, Z. (1972) Experimental investigation of recirculating cells in laminar coaxial jets. AIAA J., 10, 1204–1210.
Watkins, W. B. and Hussey, R. G. (1973) Spin-up from rest: Limitations of the Wedemeyer model. Phys. Fluids, 16, 1530–1531 (1973).
Weidman, P. D. (1976) On the spin-up and spin-down of a rotating fluid. Part 2. Measurements and stability. J. Fluid Mech., 77, 709–735.
Weidman, P. D. and Browand, F. K. (1975) Analysis of a simple circuit for constant temperature anemometry. J. Phys. E: Sci. Instrum., 8, 553–560.
Weidman, P. D. and Johnson, M. (1982) Experiments on leapfrogging internal solitary waves. J. Fluid Mech., 122, 195–213.
Weidman, P. D. and Mehrdadtehranfar, G. (1985) Instability of natural convection in a tall vertical annulus. Phys. Fluids, 28, 776–787.
Werle, H. (1973) Hydrodynamic flow visualization. Ann. Rev. Fluid Mech., 5, 361–383.
White, D. E., Litt, M. and Heymach, G. J. III. (1974) Diffusion-limited heterogeneous catalytic reactions on a rotating disk. I. Hydrogenation of a-methylstyrene. Ind. Eng. Chem., Fundam., 13, 143–150.
White, D. E. and Litt, M. (1975) Diffusion-limited heterogeneous catalytic reactions on a rotating disk. Il. Hydrogenation of phenylacetylene over palladium. Ind. Eng. Chem., Fundam., 14, 183–190.
White, II. D. and Koschmieder, E. L. (1981a) Convection in a rotating, laterally heated annulus. The wavenumber transition. Geophys. Astrophys. Fluid Dynamics, 18, 279–299.
White, H. D. and Koschmieder, E. L. (1981b) Convection in a rotating, laterally heated annulus. Pattern velocities and amplitude oscillations. Geophys. Astrophys. Fluid Dynamics, 18, 301–320.
Whitehead, J. A. Jr. (1980) Selective withdrawal from a rotating stratified fluid. Dyn. Atmos. Oceans, 5, 507–515.
Whitehead, J. A. Jr. (1985) A laboratory study of gyres and uplift near the straight of Gibraltar. J. Geophys. Res., 90, 7045–7060.
Whitehead, J. A. (1986) Flow of a homogeneous rotating fluid through straights. Geophys. Astrophys. Fluid Dyn., 36, 187–205.
Whitehead, J. A. and Chapman, D. C. (1986) Laboratory observations of a gravity current on a sloping bottom: the generation of shelf waves. J. Fluid Mech., 172, 373–399.
Whitehead, J. A., Jr. and Gershenfeld, N. (1981) Selective withdrawal from a rotating stratified current with applications to OTEC. Ocean Engrg., 8, 507–515.
Whitehead, J. A. and Porter, D. L. (1977) Axisymmetric critical withdrawal of a rotating fluid. Dyn. Atm. Oceans 2, 1–18.
Wilcke, J. C. (1785) Forsok til Uplysning om Luft-hvirflar och Sky-drag.K. Vet. Acad. nya Hand.
Whitehead, J. A., Leetmaa, A. and Knox, R. A. (1974) Rotating hydraulics of strait and sill flows. Geophys. Fluid Dyn., 6, 101-125.
Wilcke, J. C. (1785) Forsok til Uplysning om Luft-hvirflar och Sky-drag. K. Vet. Acad. nya Hand., 6, 290–307.
Wimmer, M. (1976) Experiments on a viscous fluid flow between concentric rotating spheres. J. Fluid Mech., 78, 317–335.
Wimmer, M. (1978) Die zahe Stromung im Spalt zwischen einer rotierenden Scheibe und einem ruhenden Gehause. ZAMM, 58, T350 - T353.
Wimmer, M. (1981) Experiments on the stability of viscous flow between two concentric rotating spheres. J. Fluid Mech., 103, 117–131.
Wimmer, M. (1983) Die viskose Stromung zwischen rotierenden Kegelflachem. ZAMM, 63, T299 - T301.
Wortmann, F. X. (1953) Eine Methode zur Beobachtung un Messung von Wasserstromungen mit Tellur. Z. Angew. Phys., 5, 201–206.
Yaglom, A. M. (1962) An introduction to the theory of stationary random functions. English edition: ( Prentice Hall, Englewood Cliffs).
Yeh, Y. and Cummins, H. Z. (1964) Localized fluid flow measurements with an He-Ne laser spectrometer. Appl. Phys. Lett., 4, 176–178.
Zhang, L.-H. and Swinney, H. L. (1985) Nonpropagating oscillatory modes in Couette-Taylor flow. Phys. Rev., A31, 1006–1009.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin, Heidelberg
About this chapter
Cite this chapter
Weidman, P.D. (1989). Measurement Techniques in Laboratory Rotating Flows. In: Gad-el-Hak, M. (eds) Advances in Fluid Mechanics Measurements. Lecture Notes in Engineering, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83787-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-83787-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51136-6
Online ISBN: 978-3-642-83787-6
eBook Packages: Springer Book Archive