Non-Steady Radial Flow of a Viscous Incompressible Liquid in The Porous Medium Around a Radially Oscillating Spherical Surface

Volume 8 Issue 1 January - March 2019

Research Paper

Non-Steady Radial Flow of a Viscous Incompressible Liquid in The Porous Medium Around a Radially Oscillating Spherical Surface

Mohammed Naheed*

Department of Information and Technology (Mathematics Section), Nizwa College of Technology (Nizwa), Sultanate of Oman.

Naheed, M. (2019). Non-Steady Radial Flow of a Viscous Incompressible Liquid in The Porous Medium Around a Radially Oscillating Spherical Surface. i-manager's Journal on Mathematics, 8(1), 16-23 https://doi.org/10.26634/jmat.8.1.16065

Abstract

This paper deals with non-steady radial flow of a viscous, incompressible liquid in the porous medium around a radially oscillating time dependent spherical surface. The momentum equation considered for the flow through the porous medium takes care of the fluid inertia and the Newtonian stresses in addition to the classical Darcy's friction. Expressions for the pressure and velocity distributions have been derived in terms of the expansion rate of sphere radius using analytical method and effects of variation of pressure, velocity of a viscous, incompressible, and homogeneous fluid flow in a porous medium are reported and the results are presented graphically for the two special cases of radius of the sphere.