The influence of the temperature dependence of the material characteristics on the heat transfer at a flat plate in a laminar flow

The effect of the temperature dependence of material characteristics on heat transfer is currently not yet sufficiently understood. Experimental studies concerning this problem are very difficult. The present investigation is, therefore, concerned with a theoretical study. The differential equations describing the velocity and temperature field of a planar, steady, and compressible boundary layer flow is considered. The material quantities involved include the specific heat capacity, the density, the coefficient of viscosity, and the heat conductivity. The boundary layer equations are solved for the case in which the dissipation term in the energy equation is disregarded, and also for conditions involving a consideration of the dissipation term.