Non-similarity solution and correlation of transient heat transfer in laminar boundary layer flow over a wedge

Abstract

With a comprehensive and rigorous method, this paper has successfully examined the transient heat transfer in a steady and two-dimensional (2D) laminar boundary layer flow on a wedge with sudden change of thermal boundary conditions of uniform wall temperature (UWT) and heat flux (UHF). Additionally, a correlation of unsteady forced convection was also formulated through an exact solution of transient heat conduction ( ξ=0) and the similarity solutions of a steady forced convection on a wedge ( ξ=1) in this study. Particularly, for the wedge with −0.198838⩽ ξ⩽1, the deviation of the wall temperatures estimated by correlation is less than 7.5% within full time of 0⩽ ξ⩽1 comparing with numerical results in the case of UHF ranging from Pr=10 −4 to 10 4.