Similiarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet

Abstract

A similarity analysis is presented to investigate the unsteady boundary layers over a stretching sheet for special distributions of the stretching velocity and surface temperature or surface heat flux. The governing unsteady boundary layer equations are reduced to ordinary differential equations with two parameters, the Prandtl number and the unsteadiness parameter. These equations are solved numerically for some values of the governing parameters using the Keller-box method. Some flow and heat transfer characteristics are determined and discussed in detail.