Thermal and Thermo Diffusion Effects on the Heat and Mass Transfer in a Viscous Fluid over an Exponential Stretching Surface in the Presence of Heat Absorption

Abstract

In this paper, analyses of the thermal and thermo diffusion effects on the Heat and Mass transfer in a Viscous Fluid over an exponential stretching Surface in the presence of heat absorption have been investigated. The two-dimensional boundary-layer equations governing the system is obtained in form of partial differential equations by Boussinesq approximation and transformed into a system of the ordinary differential equation via similarity variables. The resulting equations are then solved, using Homotopy Analysis Method and the effect of heat absorption, radiation parameter and other parameters encountered are presented graphically and discussed, while the effect of Local skinfriction, Nusselt and Sherwood numbers are presented numerically. The result shows among other results obtained that the effect of Lorentz force on velocity acts against the fluid flow, thereby resist the motion of the fluid of which its aftermath reduces the fluid velocity while its temperature improves due to the frictional heating generated across the boundary layer.

Non-Newtonian power-law fluids with variable magnetic field and slip conditions

“…where the prime denotes derivative with respect to η, 42,43 a = L c n−1 ρ The physical quantities of interest that is skin friction coefficient is given as…”

“…The stream function ψ false( x , y false) satisfies equation of continuity (1) with u = ( ∂ ψ ∂ y ) and 0.25em v = − ( ∂ ψ ∂ x ). After applying the similarity transformations (6)–(9) to the governing equations (2)–(5), we get the non-linear boundary value ordinary differentials equations (ODEs) model as where the prime denotes derivative with respect to η, 42,43 a = L [ c n − 1 ( ρ K c n − 2 ) n n + 1 x ( 2 n − 1 ) m − n n + 1 ] 0.25em 0.25emrepresenting velocity slip parameter, …”