Natural Convection Flow of Heat Generating/Absorbing Fluid near a Vertical Plate with Ramped Temperature

Basant K. Jha, Ahmad K. Samaila, Abiodun O. Ajibade

Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.

DOI: 10.4236/jeas.2012.24009                

Abstract

This study considers a theoretical analysis of natural convection flow of heat generating/absorbing fluid near an infinite vertical plate with ramped temperature. It is assumed that the bounding plate has a ramped temperature profile. Exact solutions of energy and momentum equations are obtained using the Laplacetransform techniques. Solutions are obtained for different values of the Prandtl number (Pr) and the heat sink parameter (S). Results of the ramped and isothermal temperature and velocity as well as Nusselt number and skin friction have been compared and presented with the help of graphs.

Keywords

Heat Generating/Absorbing; Natural Convection; Ramped Temperature

Conflicts of Interest

The authors declare no conflicts of interest.

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