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The decay of a turbulent swirl in a pipe

Published online by Cambridge University Press:  28 March 2006

Frank Kreith  and
O. K. Sonju
Frank Kreith
Affiliation:
University of Colorado, Boulder, Colorado
O. K. Sonju
Affiliation:
University of Colorado, Boulder, Colorado
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Abstract

This paper presents a linearized theory for the average decay of a tape-induced fully developed turbulent swirl in flow through a pipe. In the Reynolds number range between 104 and 105 the theoretical analysis was found to be in good agreement with experimental data obtained with water in a 1 in. pipe, provided the eddy diffusivity was chosen appropriately.

It was observed that a turbulent swirl decays to about 10–20% of its initial intensity in a distance of about 50 pipe diameters, the decay being more rapid at smaller than at larger Reynolds numbers. The theoretical swirl velocity distribution agreed qualitatively with experimental measurements at distances less than 20 diameters downstream from the outlet of the swirl inducer, but deviated from the experimental results further downstream.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 2 , June 1965 , pp. 257 - 271
Copyright
© 1965 Cambridge University Press

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References

Courant, R. & Hilbert, D. 1953 Methods of Mathematical Physics, vol. 1. New York: Interscience Publishers Inc.
Deissler, R. G. & Perlmutter, M. 1960 Analysis of the flow and energy separation in a turbulent vortex flow. Int. J. Heat & Mass Trans. 1, 173.Google Scholar
Einstein, H. S. & Li, H. 1951 Steady vortex flow in a real fluid Proc. Heat Transfer & Fluid Mech. Inst., Palo Alto, Calif.: Stanford University Press.
Gambill, W. R., Bundy, R. D. & Wansbrough, R. W. 1961 Heat transfer, burnout, and pressure drop for water in swirl flow through tubes with internal twisted tapes. Chem. Eng. Symp. Ser. 5, 127.Google Scholar
Hinze, J. O. 1959 Turbulence, New York: McGraw-Hill Book Co.
Jahnke, E. & Emde, F. 1945 Tables of Functions and Formulae and Curves. New York: Dover.
Kerrebrock, J. L. & Meghreblian, R. V. 1961 Vortex containment for the gaseous fission rocket. J. Aerospace Sci. 28, 710.Google Scholar
Keyes, J. J. 1960 An experimental study of gas dynamics in high velocity vortex flow Proc. Heat. Trans. & Fluid Mech. Inst., Palo Alto, Calif.: Stanford University Press.
Kreith, F. & Margolis, D. 1959 Heat transfer and friction in turbulent vortex flow Appl. Sci. Res. A, 8, 457.Google Scholar
Laufer, J. 1954 The structure of turbulence in fully developed pipe flow. NACA Rep. no. 1174.Google Scholar
Martinelli, R. C. 1947 Heat transfer in molten metals. ASME Trans. 69, 947.Google Scholar
Musolf, A. O. 1963 An experimental investigation of the decay of a turbulent swirl flow in a pipe. Thesis, University of Colorado.
Ragsdale, R. G. 1961 NASA research on the hydrodynamics in high velocity vortex flow. NASA TN D-288, Sept. 1960. See also ASME Paper, no. 61-WA-244.
Reynolds, A. J. 1961a On the dynamics of turbulent vortical flow. Z. angew. Math. Phys., 12, 149.Google Scholar
Reynolds, A. J. 1961b Energy flows in a vortex tube. Z. angew. Math. Phys., 12, 343.Google Scholar
Sibulkin, M. 1962 Unsteady viscous circular flow. Part 3: application to the Ranque-Hilsch vortex tube. J. Fluid Mech. 12, 269.Google Scholar
Smithberg, E. & Landis, F. 1964 Friction and forced convection heat transfer characteristics in tubes with twisted tape swirl generators. Trans. ASME, J. Heat Transfer, 86, 1.Google Scholar
Sonju, O. K. 1962 A theoretical investigation of the decay of turbulent swirl flow in a Pipe. Thesis, University of Colorado.
Tailbot, L. 1954 Laminar swirling pipe flow. J. Appl. Mech. 21, 1.Google Scholar
Wylie, C. R. 1960 Advanced Engineering Mathematics, New York: McGraw-Hill Book Co.