论文和技术资料

Heat transfer in a plane shear flow configuration consisting of two infinitely long parallel plates is considered. In laminar flows over undulated substrates eddies can be generated due to the kinematical constraints. A closed form analytical solution for the velocity field, based on lubrication theory as well as a semi-analytic solution for the temperature field is derived for the creeping flow. Additionally, detailed numerical solutions are obtained via a finite element formulation of the governing equations for mass, momentum and energy conservation, enabling an exploration of the inertial effects. Resulting Nusselt numbers are reported for a wide range of Péclet and Reynolds numbers with agreement between the two methods of solution, for the case of creeping flow, found to be extremely good.