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 S0 and S1
where S0 is within S1. The spheroid S0 is
taken to be a solid and the annular region between S0 and S1
is porous, with the boundary of S1 being pervious. The flow outside
S1 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. Radhika
Department of Mathematics,
BITS Pilani, Hyderabad Campus, Hyderabad, India.
Comments
Post a Comment