Журнал прикладной и вычислительной математики

Effects of Variable Viscosity and Thermal Conductivity on Free Convection Heat and Mass Transfer Flow through a Vertical Channel

Abstract

Ajibade AO and Ojeagbase PO

In this study, effects of variable viscosity and thermal conductivity on natural convection flow through a vertical channel are investigated. The governing equations are transformed into a set of coupled nonlinear ordinary differential equations. The transformed equations are solved using Differential Transformation Method (DTM). Results obtained were compared with exact and numerical methods. The influence of the flow parameters on fluid temperature, concentration and velocity are presented graphically. From the course of investigation, it was revealed that fluid temperature increases within the channel with increasing viscosity and thermal conductivity. In addition, results from DTM show an excellent agreement with results obtained from exact and numerical method.