SEMIANALYTIC APPROACH TO STAGNATION-POINT FLOW BETWEEN POROUS PLATES WITH MASS-TRANSFER

The axially-symmetric laminar flow of an incompressible viscous fluid with uniform injection through two parallel porous plates is studied u sing computer extended series. The equations of motion reduce to a non linear ordinary differential equation by the use of similarity transfo rmations. We develop the series expansion with polynomial coefficients of the solution function. Few terms are calculated manually and then invoke the series expansion for obtaining large number of terms in the perturbation series solution using computer. Sufficiently large numbe r of universal coefficient functions are calculated by delegating rout ine complex algebra to computer. The region of validity of the series representing pressure gradient is increased by the use of Pade' approx imants. Calculation of pressure gradient and axial velocity agree favo urably with earlier pure numerical results. It is found that the veloc ity component normal to the porous plates is everywhere independent of radial position. The dimensionless flux across the centre plane is al so analysed by series method. The region of validity of this series is increased by Euler transformation followed by completion of the serie s.