Non-Symmetric Flow over a Stretching/Shrinking Surface with Mass Transfer

The non-symmetric flow over a stretching/shrinking surface in an otherwise quiescent fluid is considered under the assumption that the surface can stretch or shrink in one direction and stretch in a direction perpendicular to this. The problem is reduced to similarity form, being described by two dimensionless parameters, gamma the relative stretching/shrinking rate and S characterizing the fluid transfer through the boundary. Numerical solutions are obtained for representative values of -gamma and S, a feature of which are the existence of critical values gamma(c) of gamma dependent on S, these being determined numerically. Asymptotic forms for large gamma and S, for both fluid withdrawal, S > 0 and injection S < 0 are obtained and compared with the corresponding numerical results.