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Tytuł artykułu

The effect of non-uniform basic temperature gradient on the convective instability of a fluid layer sandwiched between two porous layers with general velocity and thermal conditions

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Języki publikacji
EN
Abstrakty
EN
The stability of a horizontal fluid layer bounded on either side by porous layers with different permeabilities is examined for different non-uniform basic temperature gradients using general velocity and thermal conditions at the boundaries. In the case of sudden heating and cooling, analytical solutions are obtained using single-term Galerkin expansion. Numerical solutions are obtained for all possible combinations of basic temperature gradients and boundary conditions in respect of velocity and temperature. General conclusion about the thermal depth and the destabilizing effects of the basic temperature gradients are presented. The classical results of free-free, rigid-free and rigid-rigid boundaries with isothermal or adiabatic boundaries are recovered as limiting cases of the present study.
Rocznik
Strony
35--52
Opis fizyczny
Bibliogr. 9 poz., tab., wykr.
Twórcy
  • V.L.B. Janakiammal College of Arts and Science Coimbatore - 641 042, INDIA
Bibliografia
  • [1] Chandrashekar S. (1961): Hydrodynamic and Hydromagnetic Stability. - Oxford: Clarendon Press.
  • [2] Currie I.C. (1967): The effect of heating rate on the stability of stationary fluids. - J. Fluid Mech., vol. 29, pp. 337-347.
  • [3] Drazin P.G and Reid H. (1989): Hydromagnetic Stability. - Cambridge: University Press.
  • [4] Malkus W.V.R and G. Veronis (1958): Finite amplitude cellular convection. - J. Fluid Mech., vol. 4, pp. 225-260.
  • [5] Nield D.A. (1975): The onset of transient convective instability. - J. Fluid Mech., vol. 71, pp. 441-454.
  • [6] Platten J.K. and Legros J.C. (1984): Convection in Liquids. - Berlin, New York: Springer Verlag.
  • [7] Roberts P.H. (1967): Convection in horizontal layers with internal heat generation. - Theory, J. Fluid Mech., vol. 30, pp. 33-49.
  • [8] Siddheshwar P.G. (1995): Convective instability of ferromagnetic boundaries. - J. Magn. Mag. Mat, vol. 149, pp. 148-150.
  • [9] Sparrow E.M., Goldstein R.J. and Johnson V.K. (1964): Thermal instability in a horizontal fluid layer - effect of boundary conditions and non-linear temperature profile. - J. Fluid Mech., vol. 18, pp. 513-528.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0009-0002
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