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.

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

  • Received Date: 1986-07-13
  • Publish Date: 1987-10-15
  • 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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  • [1]
    Busse, F.H.,Non-linear properties of thermal convection, Rep. Prog. Phys., 41 (1978),1929-1967.
    [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.
    [10]
    Yih, C.S., Fluid Mechanics, West River Press, Ann Arbor (1977), 440-446.
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