Quadratic density and viscosity variations on electro-thermal-convection in a dielectric fluid-saturated porous layer Available to Purchase

An investigation is carried out to determine the effect of three types of boundary conditions as well as variation in density and viscosity with temperature on electro-thermal-convection (ETC) in a dielectric fluid-saturated porous layer. A Galerkin-type of weighted residual method (WRM) is used to extract the eigenvalues. The electrohydrodynamic boundary conditions are included namely, (i) lower and upper boundaries rigid (R-R), (ii) lower-rigid and upper-free boundaries (R-F), and (iii) lower and upper boundaries free (F-F). The governing parameters of the problem are the Biot number Bi, the ratio of viscosity Λ, the porous parameter Da^− 1, the temperature dependent viscosity η and thermal expansion co-efficient increases is to delay the onset, while strength electric Rayleigh number R_e increases is to destabilize the system. The electric force R_ec , and buoyancy force R_tc adjunct with each other and always found R_ec < R_tc. For stress free surface condition advances the ETC compared at rigid surfaces. In limiting cases, some results published previously are recovered from our results.