Effect of Internal Heating on Double Diffusive Convection in a Couple Stress Fluid Saturated Anisotropic Porous Medium

Abstract

Abstract-The effect of internal heat source on double diffusive convection in a couple stress fluid saturated horizontal anisotropic porous layer was studied analytically by performing linear and nonlinear stability analyses. For linear stability analysis, normal mode technique was used, whereas for nonlinear stability analysis a minimal representation of Fourier series upto two terms was used. Effects of anisotropic parameter, couple stress parameter, solute Rayleigh number, Vadász number, Lewis number, internal heat source parameter on stationary, oscillatory and finite amplitude convection were obtained and shown graphically. Also the graphs for heat and mass transport, streamlines, isotherms, isohalines for steady and unsteady cases were drawn. It was found that internal heat source parameter had destabilizing effect on all modes of convection. Heat transport increased and mass transport decreased with the increase in internal heat source parameter.

Effect of Vertical Magnetic Field on the Onset of Double Diffusive Convection in a Horizontal Porous Layer with Concentration Based Internal Heat Source

“…The study observed that for downgrade throughflow, when the Peclet number is high, the effect of concentration based internal heat is significant. The effect of internal heat source on double diffusive convection in a couple stress fluid saturated horizontal anisotropic porous layer using linear and nonlinear stability analyses was studied in [12]. The results show that heat transport increased and mass transport decreased with increase in internal heat source parameter.…”

Stability Convection in a Couple Stress Fluid Saturated in an Anisotropic Porous Medium with Internal Heating Effect

“…It is observed that when the internal heat parameter, increases, the critical Rayleigh number, will decreases. This will make the effect of source of the internal heat parameter destablize the start of stability convection, as verified by Srivastava et al, [12].…”

“…For Vadasz number, it is only valid for oscillatory state convection while stationary convection which remain the same during the Rayleigh number for the onset of convection occured at stable steady state, as verified by Srivastava et al, [12]. For this paper, stationary convection has been considered with couple stress fluid and internal heating effects in porous medium.…”

The Effect of Thermal Modulation on Double Diffusive Convection in the Presence of Applied Magnetic Field and Internal Heat Source

“…They plotted the streamlines, isotherms, and isohalines to represent the nature of convection. The effect of internal heating on double-diffusive convection in a couple stress fluid-saturated anisotropic porous medium was investigated by Srivastava et al [38]. The linear stability analysis was mode by a critical Rayleigh number for both stationary and oscillatory convection.…”