Abstract
The effects of electric field and non-uniform basic temperature gradient on the onset of Rayleigh-Benard 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.
Highlights
Electrohydrodynamics can be regarded as a branch of fluid mechanics concerned with electrical force effects
Onset of convection in a dielectric fluid layer in the presence of electric field has been studied by Roberts [1], Maekawa, Abe and Tanasawa [2], Char and Chiang [3], Douiebe et al [4], El-Sayed [5], Rudraiah and Gayathri [6], Hemalatha and Shivakumara [7]
We have studied the effect of non-uniform basic temperature gradient on the onset of Rayleigh-Bénard convection in a micropolar fluid in the presence of electric field
Summary
Electrohydrodynamics can be regarded as a branch of fluid mechanics concerned with electrical force effects. The fluid will be set in motion, changing the distribution of charges that in turn modifies the electric field: there is an analogy between the Rayleigh-Bénard instability and pure electroconvection. In the latter case, the destabilizing force is proportional to the mean charge gradient. The effect of electric fields on the motion of liquids is employed in the electrohydrodynamic energy converters devices in which the electric field energy is directly converted into the kinetic energy of a liquid flow Another technical application is related to the possibility of intensifying or suppressing the heat and mass transfer in high-voltage devices and, in some cases, to the ability of controlling such processes. Onset of convection in a dielectric fluid layer in the presence of electric field has been studied by Roberts [1], Maekawa, Abe and Tanasawa [2], Char and Chiang [3], Douiebe et al [4], El-Sayed [5], Rudraiah and Gayathri [6], Hemalatha and Shivakumara [7]
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