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M. Takashima, “Surface Tension Driven Instability in a Horizontal Liquid Layer with a Deformable Free Surface Part I Steady Convection,” Journal of the Physical Soci ety of Japan, Vol. 50, No. 8, 1981, pp. 2745-2750. doi:10.1143/JPSJ.50.2745

has been cited by the following article:

• TITLE: Effect of Non-Uniform Basic Temperature Gradient on the Onset of Rayleigh-Bénard-Marangoni Electro-Convectionin a Micropolar Fluid

  AUTHORS: Thadathil Varghese Joseph, Sree Ramaiah Manjunath, Subbarama Pranesh

  KEYWORDS: Rayleigh-Bénard-Marangoni; Non-Uniform Temperature Gradient; Electric Field; Micropolar Fluid; Galerkin Technique

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8, August 1, 2013

  ABSTRACT: The effects of electric field and non-uniform basic temperature gradient on the onset of Rayleigh-Bénard-Marangoni convection in a micropolar fluid are studied using the Galerkin technique. The eigenvalues are obtained for an upper free/adiabatic and lower rigid/isothermal 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 analysed. Six different non-uniform temperature profiles are considered and their comparative influence on onset is discussed.