Heat Transfer Rates of Hydromagnetic Buoyancy Driven Turbulent Fluid Flow Over a Curved Surface

Abstract

In this paper an analysis of hydromagnetic turbulent fluid flow over an immersed curved surface is carried out. The curved surface was a circular infinite vertical cylinder. The fluid was considered to be electrically conducting while the surface was assumed to be insulated. The fluid flows along the axis of the cylinder. The flow is impulsively started and the flow problem analysed thereafter. A mathematical formulation of the problem is done using the conservation equations of momentum and energy. The Reynolds stress terms were resolved using Prandtl mixing length hypothesis. The arising governing nonlinear partial differential equations are subsequently presented as finite difference schemes and simulated using a computer programme. The results were presented graphically showing velocity and temperature profiles. The rates of heat transfer are presented in a table. It is observed that increase in both Grashof number and Prandtl number leads to an increase in rate of heat transfer.