Computational study on two-phase MHD buoyancy driven flow in an asymmetric diverging channel

Abstract

In this paper the problem of a two-dimensional steady viscous, incompressible two-phase flow of a particulate suspension in an asymmetric diverging channel with a heat source is considered. The differential equations governing the flow are non-dimentionalized by employing suitable transformations and resulting equations are solved numerically, using Runge-Kutta Shooting technique. The influence of Magnetic parameter, Reynolds number, Cross flow Reynolds number, Grash of number, heat source parameter, Prandtl number are exhibited graphically and velocity and temperature profiles for both fluid as well as particle phases discussed. Computational values for skin friction coefficient, Nusselt number are obtained and presented in tabular form and discussed. This study plays an important role in many engineering and biological fields such as cooling of nuclear reactors, chemical and food industries, blood flow through capillaries and arteries.

Keywords

• mhd
• particulate suspension
• two-phase flow
• diverging channel