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P. G. Siddheshwar and S. Pranesh, “Effects of a NonUniform Basic Temperature Gradient on Rayleigh-Bénard Convection in a Micropolar Fluid,” International Journal of Engineering Science, Vol. 36, No. 11, 1998, pp. 1183-1196. doi:10.1016/S0020-7225(98)00015-9

has been cited by the following article:

• TITLE: Effect of Non-Uniform Temperature Gradient on the Onset of Rayleigh-Bénard Electro Convection in a Micropolar Fluid

  AUTHORS: Subbarama Pranesh, Riya Baby

  KEYWORDS: Micropolar Fluid; Rayleigh Number; Electro Convection; Non-Uniform Temperature Gradients; Galerkin Technique

  JOURNAL NAME: Applied Mathematics, Vol.3 No.5, May 16, 2012

  ABSTRACT: The effects of electric field and non-uniform basic temperature gradient on the onset of Rayleigh-Bénard convection in a micropolar fluid are studied using the Galerkin technique. The eigenvalues are obtained for free-free, rigid-free and rigid-rigid velocity boundary combinations and for isothermal and/or adiabatic temperature boundaries. The microrotation is assumed to vanish at the boundaries. A linear stability analysis is performed. The influence of various micropolar fluid parameters and electric Rayleigh number on the onset of convection has been analyzed. One linear and five non-uniform temperature profiles are considered and their comparative influence on onset is discussed.