Convective Heat Transfer Over Inverted Cone Saturated in Porous Medium

Abstract

Abstract This thesis presents a numerical investigation of convective heat transfer over inverted cone saturated in porous meduim. Using the boundary layer approximations together with the Boussinesq approximation, the set of steady partial differential equations governing the fluid flow is transformed into nonlinear dimensional PDEs form then transfored again into ordinary differential equations using a suitable transformation. To obtain clear insights into the physics of the fluid flow, we used the theory of boundary layer approximation to transform the physical quantities into physical pa- rameters. The resulting highly nonlinear ordinary differential equations were solved numerically by using the spectral quasi-linearastion method. A comparison between SQLM and published results is made to test the accuracy and convergence analysis of the method. The method is found to be convergent and give very accurate results with very few grid points in the numerical discretization procedure.