NUMERICAL STUDY OF HEAT TRANSFER BY NATURAL CONVECTION ALONG A WAVY VERTICAL PLATE WITH VARIABLE WALL TEMPERATURE

The effects of wavy geometry on natural convection heat transfer and boundary layer flow along a vertical plate with variable wall temperature are presented. The homotopic transformation is employed to transform the physical domain into a flat plate. The boundary layer equations and the boundary conditions are discretized by the finite difference scheme and solved numerically using the Gauss-Seidel algorithm with relaxation coefficient. Effects of the wavy geometry and the variable wall temperature on the velocity, temperature profiles, local Nusselt number and the developments of the skin-friction coefficient are presented and discussed in detail. Results show that increasing of the variable wall temperature leads to increase the heat transfer rate, while, in general, high amplitude reduce the heat transfer.