Integral method extension to unsteady thermal problems in laminar boundary layer flows

摘要

This work is devoted to the unsteady forced laminar convection theory in incompressible laminar boundary layer flows over a flat surface, when thermal conditions are due to arbitrary flux variations in space. The Karman-Pohlhausen integral approach is used and extended to transient phases in a large Prandtl number range. Several mathematical models are discussed and established according tothe nature of the thermal problem: heating, partial heating or cooling and fully cooling ones. Detailed thermal responses due to the change of wall conditions on the transient process are presented.