Diffusion and convection of vorticity at low Reynolds numbers produced by a rotlet interior to a circular cylinder
Author:
K. B. Ranger
Journal:
Quart. Appl. Math. 45 (1987), 669-678
MSC:
Primary 76D05; Secondary 76C05
DOI:
https://doi.org/10.1090/qam/917016
MathSciNet review:
917016
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Abstract: The diffusion and convection of vorticity produced by a rotlet inside a circular cylinder is discussed at low Reynolds numbers by considering a nonlinear approximation to a complex form of the steady two-dimensional Navier–Stokes equations. An expression is found for the boundary vorticity and the modifications to the separation of streamlines are discussed as a function of the Reynolds number.
- Robert Legendre, Solution plus complète du problème de Blasius. (Écoulement laminaire le long d’un plan mince), C. R. Acad. Sci. Paris 228 (1949), 2008–2010 (French). MR 31913
A. F. Pillow, Private Communication, Department of Mathematics, University of Queensland, St. Lucia, Qld 4067, Australia
K. B. Ranger, The critical separation Reynolds number for streaming flow past a circular cylinder, International Journal of Multiphase Flow 10, No. 2, 159–171 (1984)
- Philip M. Morse and Herman Feshbach, Methods of theoretical physics. 2 volumes, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059774
K. B. Ranger, Eddies in two dimensional Stokes flow, International Journal of Engineering Science 18, 181–190 (1980)
R. Legendre, Solution plus compléte du probléme Blasius, Comptes Rendus, Tom 228, 2008–2010 (June 1949)
A. F. Pillow, Private Communication, Department of Mathematics, University of Queensland, St. Lucia, Qld 4067, Australia
K. B. Ranger, The critical separation Reynolds number for streaming flow past a circular cylinder, International Journal of Multiphase Flow 10, No. 2, 159–171 (1984)
P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part 1, p. 373, McGraw-Hill, New York, 1953
K. B. Ranger, Eddies in two dimensional Stokes flow, International Journal of Engineering Science 18, 181–190 (1980)
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Article copyright:
© Copyright 1987
American Mathematical Society
