An Analytical Solution of Wall Temperature Distribution for Transpiration and Local Mass Injection Over a Flat Plate

摘要

An analytical solution is given of the non-similar laminar boundary layer with continuous or local injection and variable wall temperature. The solution is for a flat plate with zero pressure gradient, but it can be modified for variable pressure. The method consists of transforming the partial differential equations for momentum and enthalpy and then solving the transformed equations by assuming polynomial velocity and temperature profiles. The first part presents the solution for continuous injection (transpiration cooling), and the second part involves discontinuous boundary conditions due to local injection. (Author)