Electrohydrodynamic stability and heat and mass transfer of a dielectric fluid flowing over an inclined plane through porous medium with external shear stress

Abstract

The linear stability of a viscous dielectric fluid filling a porous medium and moving down an inclined plane with heat and mass transfer, in the presence of applied electric field is investigated under the force of external shear that is applied to the flow’s top surface. The perturbation approach and normal mode analysis are used for the Stokes flow and the long-wave approximation, resulting in the plotting and discussion of neutral curves. The effects of various parameters are examined in detail in two modes. For Stokes flow, we found that the surfactant Péclet number when the porous medium is present, Marangoni numbers, medium permeability and angle of inclination have stabilizing effects, while the surfactant Péclet number when a porous medium is absent, the surfactant through the elasticity number, Biot numbers, porosity of porous medium have destabilizing effects on the flow system. It is noted also that the system is more stable when a porous medium is present than in its absence. For long-wave approximation, we noted that the electric Weber number, dielectric ratio, elasticity number and Biot numbers have stabilizing effects, and all of the shear stress imposed, Reynolds number, The porosity and permeability of the porous medium play a dual function in the system’s stability, while both the Marangoni numbers and inclination angle have destabilizing impacts on the considered system and the shear stress has a stabilizing influence on the flow system at β= π/ 2.