Cross Diffusion Effect on Linear and Nonlinear Double Diffusive Convection in a Viscoelastic Fluid Saturated Porous Layer with Internal Heat Source

Double diffusive convection in a binary viscoelastic fluid saturated porous layer the presence of cross diffusion effect and an internal heat source is studied analytically using linear nonlinear stability analysis. The theory based on normal mode technique, while minimal representation truncated double Fourier series. modified Darcy law for Oldroyd type considered to model momentum equation. onset criterion stationary oscillatory steady mass transfer have been obtained theory, respectively. combined investigated. effects Dufour, Soret, heat, relaxation retardation time, Lewis number concentration Rayleigh stationary, oscillatory, transport are depicted graphically. Heat presented graphically terms Nusselt Sherwood numbers, It reported that significantly influenced with variation Soret Defour parameters. An increment parameter has destabilizing as well enhancing process. On other hand, variable transfer. found there critical value thermal number, below which increasing decreases above it increases number.