Application of Differential Quadrature Method (DQM) to Heat Transfer and Entropy Generation Problems

Abstract

In this study, the entropy generation due to the flow of a gravity-driven laminar viscous incompressible fluid through an incline channel is investigated. Fully developed flow field is solved for a Newtonian fluid. Then, the temperature field is numerically resolved using Differential Quadrature Method (DQM) subject to isothermal boundary conditions on the walls and constant rectangular profile at the inlet. The result of DQM is compared to analytical solution and method of lines (MOL) numerical method. Rate of entropy generation is found and its relation with temperature and velocity field is examined.