The effects of blowing and suction on buoyancy-induced axisymmetric flow

An axisymmetric buoyancy-induced laminar boundary-layer flow in a homogeneous ambient fluid at constant temperature over an unconfined heated porous disk is investigated analytically, considering the effects of blowing or suction applied through the plate with a power-law distribution. A nonsimilar transformaton is applied to the governing equations in the Boussinesq approximation, and the resulting expressions are solved numerically using (1) a finite-difference scheme and (2) a local nonsimilarity method (Sparrow and Yu, 1971); results for gases and water as the ambient fluid are presented in tables and graphs and discussed. The convergence and accuracy of (1) for strong blowing, of (2) for strong suction, and of both (1) and (2) for moderate transpiration of either type are demonstrated.