ABSTRACT
In this chapter, we have discussed the combined effect of internal heat and AC electric field in an Oldroyd-B-nanofluid and used the Brinkman model for the porous medium under different gravity modulations. Under the zero-flux boundary condition, the investigation of the stability of the convection, and linear and nonlinear analysis are performed simultaneously. We proceed with a solution by the Galerkin-weighted residual method. We found and conclude that the Brinkman-Darcy number has stabilizing behavior on the stationary convection. Porosity and mass density increment show a similar effect on mass transfer. AC electric field has a destabilizing effect on stationary convection and a nominal effect is observed on heat and mass transfer of nonlinear analysis. $H_shows the destabilizing in the case of stationary analysis and advances heat and mass transfer in nonlinear stability analysis. Oscillatory convection is found to have debarred for any effect. Results have been discussed for streamlines, isotherms, and isohalines. On comparing different types of gravity modulation, the day-night profile advances in both heat and mass transfer. Comparing the effect of electric field and gravity modulation, electric field advances heat and mass transfer.
