Unsteady Boundary Layer Heat and Mass Transfer Flow of Nanofluid Over Porous Stretching Sheet with Non-Uniform Heat Generation/Absorption and Double Stratification

Abstract

The influence of thermal radiation and stratification process on unsteady MHD flow over stretching sheet embedded in “nanofluid saturated porous medium with non-uniform heat source/sink was analyzed numerically in the present analysis. Proper similarity transformations reduce the nonlinear partial differential equations into ordinary differential equations and are solved numerically by using Galerkin Finite element method. Impact of different parameters, such as, magnetic parameter (0.1–1.0), buoyancy ratio parameter (0.1–4.5), radiation parameter (0.5–1.7), Rayleigh number (0.1–0.7), thermophoresis parameter (0.4–1.5), thermal stratification parameter (0.01–1.0), Brownian motion parameter (1.0–2.0), solutal stratification parameter (0.01–1.0), unsteadiness parameter (0.1–0.4), space–dependent (-0.5–0.4) and temperature dependent (-0.5–0.2) heat source/sink parameters on velocity, temperature and concentration profiles is calculated and are illustrated graphically. Skin-friction coefficient, Nusselt and Sherwood number are calculated and the results are shown in tabular form. It is found that the thermal stratification parameter deteriorates the temperature of the fluid. The concentration of the fluid diminishes with rising values of solutal stratification parameter. The thermal boundary layer thickness elevates” with higher values of Brownian motion and thermophoresis parameters.