Free Convection Heat Transfer in a Micropolar Fluid Confined Between a Long Vertical Wavy Wall and a Parallel Flat Wall

The free convection heat transfer in a micropolar fluid confined between a long vertical wavy wall and a parallel flat wall has been studied. Analysis of fluid flow over a wavy wall is of interest because of its physical applications such as transpiration cooling of re-entry vehicles, rocket booster and film vaporization, in combustion chambers etc. The equations governing the flow and the heat transfer have been solved subject to the relevant boundary conditions by assuming that the solution consists of two parts viz. a mean part and a perturbed one. To obtain the perturbed part of the solution, use has been made of the long Wavy approximation. The sets of differential equations have been solved by Finite Element Method. The zeroth order, the first order and total solution of the problem have been evaluated numerically for several sets of values of the various parameters entering the problem and are depicted graphically.