Effect of Pressure Stress Work and Viscous Dissipation in Natural Convection Flow along a Vertical Flat Plate with Heat Conduction

Abstract

In this paper, the effect of viscous dissipation and pressure stress work on free convection flow along a vertical flat plate has been investigated. Heat conduction due to wall thickness b is considered in this investigation. With a goal to attain similarity solutions of the problem posed, the developed equations are made dimensionless by using suitable transformations. The non-dimensional equations are then transformed into non-linear equations by introducing a non-similarity transformation. The resulting non-linear similar equations together with their corresponding boundary conditions based on conduction and convection are solved numerically by using the finite difference method along with Newton's linearization approximation. Numerical results for the details of the velocity profiles, temperature profiles, skin friction coefficients and the surface temperature distributions are shown both on graphs and tabular form for different values of the parameters entering into the problem.

Keywords: Free convection, viscous dissipation, pressure work and conduction.

DOI: 10.3329/jname.v3i2.921

 Journal of Naval Architecture and Marine Engineering 3(2006) 69-76