Lift, thrust and heat transfer due to mixed convection flow past a horizontal plate of finite length

Abstract

The steady two-dimensional mixed-convection flow past a heated or cooled horizontal plate of finite length is analysed for large Peclet numbers and weak buoyancy effects. The plate is assumed to be aligned with the free stream. The hydrostatic pressure jump across the wake, combined with the Kutta condition, gives rise to a potential flow that can be determined by distributing vortices in the wake as well as in the plate. Solutions in closed form are obtained for two cases, i.e. laminar flow of a fluid with very small Prandtl number and turbulent flow