Jh. Merkin, A NOTE ON THE SIMILARITY EQUATIONS ARISING IN FREE-CONVECTION BOUNDARY-LAYERS WITH BLOWING AND SUCTION, Zeitschrift fur angewandte Mathematik und Physik, 45(2), 1994, pp. 258-274
The similarity equations for the free convection boundary-layer flow o
n a vertical plate with prescribed wall temperature and transpiration
velocity are considered. The range of existence of solution is discuss
ed first. For blowing this is seen to be independent of the transpirat
ion parameter gamma, depending only on the Prandtl number. For suction
this range of existence of solutions is seen to depend on gamma as we
ll. Asymptotic solutions for strong suction and strong blowing are der
ived and compared with numerical solutions of the similarity equations
.