Couple Stress Fluid Past a Porous Spheroidal Shell with Solid Core under Stokesian Approximation | Chapter 02 | Advances in Applied Science and Technology Vol. 7
The present paper deals with the flow of an incompressible couple stress fluid past a porous spheroidal shell which is made up of two confocal prolate spheroids S 0 and S 1 where S 0 is within S 1 . The spheroid S 0 is taken to be a solid and the annular region between S 0 and S 1 is porous, with the boundary of S 1 being pervious. The flow outside S 1 is governed by the linearized version of Stokes’ couple stress fluid flow equations and that within the porous region is governed by the classical Darcy’s law. The resulting equations are then solved analytically for the velocity and pressure fields and drag experienced by the body is obtained. The variation of drag with the different parameters like the material and the geometric is studied numerically and the results are presented through graphs. Stream lines are also plotted to understand the flow pattern. Author(s) Details T. K. V. Iyengar Department of Mathematics, NIT, Warangal, India. (Retd.) T. S. L. Ra...