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M. I. Char and K. T. Chiang, “Boundary Effects on the Bénard-Marangoni Instability under the Electric Field,” Applied Scientific Research, Vol. 52, No. 4, 1994, pp. 331-354. doi:10.1007/BF00936836

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.