Effects of MHD Flow and Heat Transfer of a Visco-Elastic Fluid in a Vertical Channel with Slip Velocity

摘要

The effect of MHD on natural convective visco-elastic fluid in a vertical channel one of whose walls is wavy with slip velocity has been studied. A uniform magnetic field is assumed to be applied perpendicular to the flat wall. The governing equations of the fluid and the heat transfer have been solved subject to the relevant boundary conditions. It is assumed that the solution consists of two parts: a mean part and a perturbed part. To solve the perturbed part, a long wave approximation used by ostrich has been utilized. The perturbed part of the solution is the contribution from the waviness of the wall. Expressions for the zeroth-order and first order velocity, temperature, skin friction and heat transfer at the wall are obtained. The co-efficient of skin friction at both the walls of the channel are expressed in tabular forms for different values of the visco-elastic parameter. The profiles of the first order velocity components have been presented graphically for different combination of parameters involve in the problem.