AN EXACT SOLUTION TO THE UNSTEADY
FREE-CONVECTION BOUNDARY-LAYER FLOW
PAST AN IMPULSIVELY STARTED VERTICAL
SURFACE WITH NEWTONIAN HEATING

R. C. Chaudhary and Preeti Jain

UDC 536.25

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.

Department of Mathematics, University of Rajasthan Jaipur-302004, 
India; email: rcchaudhary@rediffmai.com. Published in Inzhenerno-Fizicheskii 
Zhurnal, Vol. 80, No. 5, pp. 102-107, September-October, 2007. 
Original article submitted February 28, 2006; revision submitted November 
22, 2006.