Free convection flow with Joule heating, heat generation and viscous dissipation along a vertical wavy surface

Abstract

The present numerical dissertation investigates a steady two-dimensional natural convection flow of viscous incompressible fluid considering viscous dissipation along a uniformly heated vertical wavy surface in presence of internal heat generation and Joule heating. Using the appropriate transformations the governing equations are transformed into non-dimensional boundary layer equations manually. After getting dimensionless differential equations manually, the equations are solved numerically by employing the implicit finite difference method together with Keller-box scheme with the help of coding software FORTRAN. Numerical results including the development of velocity profiles, the temperature profiles, the skin friction coefficient Cfx, the rate of heat transfer in terms of Nusselt number Nux, the streamlines as well as the isotherms are shown graphically and in a table form for comparison. The results illustrated that increasing values of heat generation, viscous dissipation and Joule heating parameters, increase the velocity, temperature, skin friction of fluid flow but decrease the rate of heat transfer.