The Benard Convection in a Layer of Fluid with a Time-Dependent Mean Temperature

Wu Feng

Volume 8 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(10): 891-900

Wu Feng. The Benard Convection in a Layer of Fluid with a Time-Dependent Mean Temperature[J]. Applied Mathematics and Mechanics, 1987, 8(10): 891-900.

Citation:

Wu Feng. The Benard Convection in a Layer of Fluid with a Time-Dependent Mean Temperature[J]. Applied Mathematics and Mechanics, 1987, 8(10): 891-900.

Citation:

Wu Feng. The Benard Convection in a Layer of Fluid with a Time-Dependent Mean Temperature[J]. Applied Mathematics and Mechanics, 1987, 8(10): 891-900.

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The Benard Convection in a Layer of Fluid with a Time-Dependent Mean Temperature

Wu Feng

Department of Modern Mechanics, University of Science and Technology of China, Hefei

Received Date: 1986-07-13
Publish Date: 1987-10-15

Abstract

Abstract

The onset of Bénard convection, or the critical Rayleigh number in a layer of fluid with a time-dependent mean temperature has been investigated theoretically. The critical Rayleigh number is regarded as a function of time and is expanded in series of a small parameter. Up to second approximation a simple expression of critical Rayleigh number is obtained for the time region for away from the point of zero.

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References(10)

References

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[2]	Yih, C.S. and C.H. Li, Instability of unsteady flows or configurations, Part 2.Convective instability, J Fluid Mech.. 54 (1972), 143-152.
[3]	Lick, W., The instability of afuid layer with time-dependent heating, J. Fluid Mech., 21 (1965),565-576.
[4]	Currie, I.G., the effect of heating rate on the stability of stationary fluids, J Fluid Mech., 29 (1967), 337-347.
[5]	Foster, T.D., Stability of a homogeneous fluid cooled uniformly from above, Phys. Fluids, 8(1965), 1249-1257.
[6]	Foster, T.D., Effect of boundary conditions on the onset of convection, Phys. Fluids, 11(1968), 1257-1262.
[7]	Davis, S.H., Finite amplitude instability of time-dependent flows, J.Fluid Mech., 45 (1971),33-48.
[8]	Homsy, G.M., Global stability of time-dependent flows:impulsively heated or cooled fluid layers, J. Fluid Mech., 60 (1973), 129-139.
[9]	Jhaveri, B.S. and G.M. Homsy, The onset of convection in fluid layers heated rapidly in a time-dependent manner, J.Fluid Mech., 114 (1982), 251-260.
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