Ma. Chaudhary et Jh. Merkin, THE EFFECTS OF BLOWING AND SUCTION ON FREE-CONVECTION BOUNDARY-LAYERSON VERTICAL SURFACES WITH PRESCRIBED HEAT-FLUX, Journal of engineering mathematics, 27(3), 1993, pp. 265-292
The effects that blowing and suction have on the free convection bound
ary layer on a vertical surface with a given surface heat flux are con
sidered. Similarity equations are derived first, their solution being
dependent on the wall flux exponent n and a dimensionless transpiratio
n parameter gamma, (as well as on the Prandtl number). The range of ex
istence of solutions is considered, with it being shown that solutions
exist only for n > -1 for blowing, whereas they exist for all n > n0
for suction, where n0 < -1 and depends on gamma. The solutions for str
ong suction and blowing are derived. In the latter case the asymptotic
structure is found to be different for n in the three ranges -1 < n <
-1/4 , -1/4 < n < 7/2 , n > 7/2. Results are then obtained for the no
n-similarity problem of constant heat flux with a constant transpirati
on velocity. Solutions valid for large distances from the leading edge
for both suction and blowing are derived.