ABSTRACT

This chapter introduces convection analysis and presents two simple analytical solutions. The analysis of high-speed Couette flow leads to the recovery factor concept, which allows generalization of the flat plate heat transfer correlations to include high-speed flow. The chapter explores the equations governing a forced-convection boundary layer on a flat plate are derived, again from first principles. An exact analytical solution is obtained for the limit of zero Prandtl number, which is useful for liquid metals. The integral method is used to obtain approximate analytical solutions for both forced- and natural-convection boundary layers. The chapter demonstrates methods of scale analysis. The boundary layer equations are derived from the general conservation equations, and the natural-convection boundary layer equations are scaled to obtain the functional dependence of the Nusselt number. Finally the chapter deals with turbulent flow. In the case of turbulent flows, the remarks apply only to the time-averaged equations.