, Volume 80, Issue 5, pp 954-960

An exact solution to the unsteady free-convection boundary-layer flow past an impulsively started vertical surface with newtonian heating

Abstract

An exact solution of the unsteady free-convection boundary-layer flow of an incompressible fluid past an infinite vertical plate with the flow generated by Newtonian heating and impulsive motion of the plate is presented. The resulting governing equations are nondimensionalized and their solutions are obtained in a closed form with the help of the Laplace transform technique. A parametric study of the roles of all involved parameters is conducted and a representative set of numerical results for the velocity, temperature, and skin friction is illustrated graphically. The physical aspects of the problem are discussed.

Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 80, No. 5, pp. 102–107, September–October, 2007.