Viscous Dissipation Effect on Steady free Convection and Mass Transfer Flow past a Semi-Infinite Flat Plate

Abstract

Problem statement: A steady two-dimensional free convection and mass transfer flow past a continuously moving semi-infinite flat plate is studied theoretically, by taking into account the viscous dissipation effect. Approach: The governing equations are transformed into a set of simultaneous ordinary differential equation by using suitable similarity transformations. The coupled differential equations are integrated using the Runge-Kutta Gill method together with the shooting technique. Results: Numerical results were presented for the distribution of velocity, temperature and concentration profiles within the boundary layer. Conclusion: The effects of varying parameter Gb, the Gebhart number, Sc, Schmidt number and Pr, Prandtl number on the velocity, temperature and concentration profiles were displayed graphically for different values of parameters entering into the problem. Significant changes were observed in heat and mass transfer coefficient, due to viscous dissipation in the medium. In addition, the skin-friction coefficient, Nusselt number and Sherwood number were shown in a tabular form.