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BLASIUS, H. 1908 Grenzschichten in FlUssigkeiten mit kleiner Reibung. Z. Math. Phys. 56:1–37; English transl., NACA TM 1256
DEAN, W. R. 1928 The stream-line motion of fluid in a curved pipe. Phil. Mag. (7) 5:673–695
FUJIMOTO, Y. & MISHKIN, E. A. 1978 Analysis of spherically imploding shocks. Phys. Fluids 21:1933–1938
GUDERLEY, G. 1942 Starke kugelige und zylindrische Verdichtungsstösse in der Nähe des Kugelmittelpunktes bzw. der Zylinderachse. Luftfahrtforschung 19:302–312
REDDALL, W. F. 3rd 1972 The asymptotic trajectory of a strong planar shock wave arising from a non-self-similar piston motion. Ph.D. diss., Stanford Univ.
SCHWARTZ, L. W. 1974 Computer extension and analytic continuation of Stokes' expansion for gravity waves. J. Fluid Mech. 62:553–578
SMITH, A. M. O. & CLUTTER, D. W. 1963 Solution of the incompressible laminar boundary-layer equations; Solution of Prandtl's boundary-layer equations. Douglas Aircraft Corp. Engg. Papers 1525, 1530
STOKES, G. G. 1880 Supplement to a paper on the theory of oscillatory waves. Mathematical and Physical papers, 1:314–326. Cambridge
VAN DYKE, M. 1964 Higher approximations in boundary-layer theory. Part 3. Parabola in uniform stream. J. Fluid Mech. 19:145–159
VAN DYKE, M. & GUTTMANN, A. J. 1978 Computer extension of the M2 expansion for a circle. Bull. Amer. Phys. Soc. 23:996, Abstract no. BD5
WEIDMAN, P. D. & REDEKOPP, L. G. 1976 On the motion of a rotating fluid in the presence of an infinite rotating disk. Archives of Mechanics 28:1011–1024
ZANDBERGEN, P. J. & DIJKSTRA, D. 1977 Non-unique solutions of the Navier-Stokes equations for the Karman swirling flow. J. Engg. Math. 11:167–188
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© 1981 Springer-Verlag
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van Dyke, M. (1981). Successes and surprises with computer-extended series. In: Reynolds, W.C., MacCormack, R.W. (eds) Seventh International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10694-4_62
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DOI: https://doi.org/10.1007/3-540-10694-4_62
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