Forced Convection Along the Wavy Surface

Abstract

In this study, Prandtl’s transposition theorem is used to stretch the ordinary coordinate-system in certain direction. The small wavy surface can be transferred into a calculable plane coordinate-system. The new governing equations of turbulent forced convection along wavy surface are derived from complete Navier–Stokes equations. A simple transformation is proposed to transform the governing equations into boundary layer equations for solution by the cubic spline collocation method. The effects such as the wavy geometry, the local skin-friction and Nusselt number are studied. The results of the simulation show that it is more significant to increase heat transfer with small wavy surface than plat surface.