Thermal instability of viscous fluids
Author:
Chia-Shun Yih
Journal:
Quart. Appl. Math. 17 (1959), 25-42
MSC:
Primary 76.00; Secondary 80.00
DOI:
https://doi.org/10.1090/qam/107444
Correction:
Quart. Appl. Math. 18 (1960), 300-301.
MathSciNet review:
107444
Full-text PDF Free Access
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Additional Information
J. C. Maxwell, Scientific papers, Dover, 1890, p. 587
Lord Rayleigh, On convection currents in a horizontal layer of fluid when the higher temperature is on the under side, Scientific Papers 6, Cambridge University Press, 1916, pp. 432-446
H. Jeffrey, The stability of a layer of fluid heated below, Phil. Mag. (7) 2, 833-844 (1926)
A. R. Low, On the criterion for stability for a layer of viscous fluid heated from below, Proc. Roy. Soc. A125, 180-195 (1929)
- Anne Pellew and R. V. Southwell, On maintained convective motion in a fluid heated from below, Proc. Roy. Soc. London Ser. A 176 (1940), 312–343. MR 3752, DOI 10.1098/rspa.1940.0092
H. B. Squire, On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls, Proc. Roy. Soc. A142, 621-628 (1933)
- S. Chandrasekhar, The stability of viscous flow between rotating cylinders, Mathematika 1 (1954), 5–13. MR 63202, DOI 10.1112/S0025579300000474
Sir Geoffrey Taylor, Stability of viscous fluids contained between two rotating cylinders, Phil. Trans. A223, 289-343 (1923)
- S. Chandrasekhar, On characteristic value problems in high order differential equations which arise in studies on hydrodynamic and hydromagnetic stability, Amer. Math. Monthly 61 (1954), no. 7, 32–45. MR 66778, DOI 10.2307/2308447
- S. Chandrasekhar, The instability of a layer of fluid heated below and subject to Coriolis forces, Proc. Roy. Soc. London Ser. A 217 (1953), 306–327. MR 57103, DOI 10.1098/rspa.1953.0065
A. L. Hales, Convection currents in geysers, Monthly Notices Royal Astronom. Soc., Geophys. Suppl. 4, 122 (1937)
Sir Geoffrey Taylor, Diffusion and mass transport in tubes, Proc. Phys. Soc. B67, 868 (1954)
S. Ostrach, On the flow, heat transfer, and stability of viscous fluids subject to body forces and heated from below in vertical channels, 50 Jahre Grenzschichtforschung, Verlag Friedr. Vieweg und Sohn, Braunschweig, Germany, 1955
J. C. Maxwell, Scientific papers, Dover, 1890, p. 587
Lord Rayleigh, On convection currents in a horizontal layer of fluid when the higher temperature is on the under side, Scientific Papers 6, Cambridge University Press, 1916, pp. 432-446
H. Jeffrey, The stability of a layer of fluid heated below, Phil. Mag. (7) 2, 833-844 (1926)
A. R. Low, On the criterion for stability for a layer of viscous fluid heated from below, Proc. Roy. Soc. A125, 180-195 (1929)
A. Pellew and R. V. Southwell, On maintained convective motion in a fluid heated from below, Proc. Roy. Soc. A176, 312-343 (1940)
H. B. Squire, On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls, Proc. Roy. Soc. A142, 621-628 (1933)
S. Chandrasekhar, The stability of viscous flow between rotating cylinders, Mathematika 1, 5-13 (1954)
Sir Geoffrey Taylor, Stability of viscous fluids contained between two rotating cylinders, Phil. Trans. A223, 289-343 (1923)
S. Chandrasekhar, On characteristic value problems in high order differential equations which arise in studies on hydrodynamic and hydromagnetic stability, Am. Math. Monthly 61 (7), 32-45 (1954)
S. Chandrasekhar, The instability of a layer of fluid heated below and subject to Coriolis forces, Proc. Roy. Soc. A217, 306-327 (1953)
A. L. Hales, Convection currents in geysers, Monthly Notices Royal Astronom. Soc., Geophys. Suppl. 4, 122 (1937)
Sir Geoffrey Taylor, Diffusion and mass transport in tubes, Proc. Phys. Soc. B67, 868 (1954)
S. Ostrach, On the flow, heat transfer, and stability of viscous fluids subject to body forces and heated from below in vertical channels, 50 Jahre Grenzschichtforschung, Verlag Friedr. Vieweg und Sohn, Braunschweig, Germany, 1955
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Article copyright:
© Copyright 1959
American Mathematical Society
