Analysis of heat absorption on natural convection flow along a vertical wavy surface with viscous dissipation under variable viscosity

Abstract

Viscous incompressible fluid in a steady two-dimensional natural convection flow considering viscous dissipation along a uniformly heated vertical wavy surface in presence of internal heat absorption and variable viscosity has been investigated. Using the appropriate transformations of variables of the basic governing equations are changed to non-dimensional boundary layer equations, which are solved numerically by employing the implicit finite difference method together with Keller-box scheme. The program code of this method has been developed in FORTRAN. Attention is focused on the evolution of the surface shear stress in terms of local skin friction, rate of heat transfer in terms of local Nusselt Number, isotherms as well as the streamlines for a selection of parameters. The results obtained from the numerical study have been discussed emphasizing the physical prospects.