A Semi-numerical Solution to Problem of Flow Between Two Discs
Nityanand P. Pai *
Department of Mathematics, Manipal Institute of Technology, Manipal-576104, Karnataka, India.
V. S. Sampath Kumar
Department of Mathematics, Manipal Institute of Technology, Manipal-576104, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
The steady flow of a viscous incompressible fluid between two coaxial discs, one rotating and other stationary with suction is analysed. We propose a semi-numerical method in which recurrence relations derived allow to generate large number of universal coefficients in small Reynolds number perturbation series of the solution function. The convergence of the series is restricted by a simple pole using some special techniques the region of validity of the series is increased. The results provided are in excellent agreement with pure numerical studies.
Keywords: Fluid flow between discs, semi-numerical solution, pade approximants