Sciences & technologie. A, sciences exactes
Volume 0, Numéro 35, Pages 37-44

Effects Of The Wavy Geometry On Natural Convection Heat Transfer, Boundary Layer Flow Along A Vertical Plate With Variable Wall Temperature.

Authors : Si Abdallah Mayouf .

Abstract

In this paper, a numerical study of heat transfer by natural convection along a wavy vertical plate with variable wall temperature is presented. The numerical method is applied to obtain the analytic solution. 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 method of Gauss-Seidel algorithm with relaxation coefficient. Effects of the wavy geometry and the constant m (m ≥ 0) on the velocity profiles, temperature profiles, local Nusselt number and skin friction coefficient are presented and discussed in detail. Results show that increasing of the constant m leads to increase the heat transfer rate, while the high amplitude wavelength rates reduce in general the heat transfer.

Keywords

Free convection, boundary layer, wavy surface, vertical plate, variable wall temperature.