Influence of Heat Generation and Viscous Dissipation on Hydromagnetic Fully Developed Natural Convection Flow in a Vertical Micro-Channel

摘要

This article examined the steady fully developed hydromagnetic natural convection flow in a vertical microchannel under the influence of heat generation and viscous dissipation. The influence of velocity slip and temperature jump is taken into account. Introducing the non-dimensional variables, exact analytical solutions for energy and momentum equations are obtained using perturbation method. The impact of each governing parameter on the non-dimensional velocity, temperature, skin friction coefficient and heat transfer coefficient at the micro-channel surfaces is examined through graphs and tables. In particular, increasing the value of heat generation parameter enhances the micro-channel slip velocity and temperature. Furthermore, it is noticed that the skin friction coefficient increases at the cold wall and decreases at the hot wall whereas the heat transfer coefficient decreases at the cold wall and increases at the hot wall with an increase in the heat generation parameter.