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Stability of nonrotationally symmetric disturbances for viscous flow between rotating cylinders. (English) Zbl 0104.20705

Keywords:
hydrodynamics
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[1] Taylor, Phil. Trans. A223 pp 289– (1923) · doi:10.1098/rsta.1923.0008
[2] C. C. Lin,The Theory of Hydrodynamic Stability(Cambridge University Press, Cambridge, England, 1955), p. 9. · Zbl 0068.39202
[3] L. D. Landau and E. M. Lifshitz,Fluid Mechanics(Addison-Wesley Publishing Company, Inc., Reading, Massachusetts, 1959), p. 102.
[4] Synge, Semicentennial Publs. Am. Math. Soc. 2 pp 227– (1938)
[5] Serrin, Arch. Ratl. Mech. Anal. 3 pp 1– (1959)
[6] Donald Coles (private communication); paper presented at the Tenth International Congress of Applied Mechanics, Stresa, Italy, August, 1960. Similar wavy motions have also been observed by F. Schultz-Grunow and H. Hein, Forschungsber. Landes Nordrhein-Westfalen, No. 684 (1959).
[7] A brief but informative discussion of ”higher-order instabilities” is given by Landau and Lifshitz.3
[8] Stuart, J. Fluid Mech. 4 pp 1– (1958)
[9] Chandrasekhar, Proc. Roy. Soc. (London) A246 pp 301– (1958)
[10] Witting, Arch. Ratl. Mech. Anal. 2 pp 243– (1958)
[11] Chandrasekhar, Mathematika 1 pp 5– (1954)
[12] DiPrima, Quart. Appl. Math. 18 pp 375– (1961)
[13] Harris, Astrophys. J. 3 pp 429– (1958)
[14] These values were computed from data given graphically.
[15] J. T. Stuart, paper presented at the Tenth International Congress of Applied Mechanics, Stresa, Italy, August, 1960.
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