INFLUENCE OF TEMPERATURE DEPENDENT VISCOSITY, VISCOUS DISSIPATION AND JOULE HEATING ON MHD NATURAL CONVECTION FLOW: A SEMI ANALYTICAL APPROACH

This paper investigates influences of temperature dependent viscosity, viscous dissipation and Joule heating on method MHD natural convection flow through a vertical porous channel. The equations representing the flow formation are of highest complexity as such their solutions are difficult to obtain through any analytical means. To achieve the solution, the use of Adomian decomposition of solution (ADM) is therefore deployed. The method of ADM is a semi-analytic method which is a powerful tool capable of decoupling the complexity into series form upon which a computer algebra package can be used for the final solution. This investigation may have application in the context of refining of crude oil as its components are separated under changing temperatures.