International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 8

Instability of Superposed Walters’ B′ fluid in a Porous Medium

  • Author:
  • M. Jena
  • Total Page Count: 8
  • Page Number: 302 to 309

Department of Physics, College of Basic Science and Humanities, OUAT, Bhubaneswar-3, Odisha, India

Online published on 19 April, 2019.

Abstract

This paper deals with the study of hydrodynamics instability of superposed Walters ’B ’fluid overlying viscous fluids in a porous medium. The stability or instability of the concerned system has been studied under the corresponding configuration. The effects of medium permeability, medium porosity and the ratio of fluid densities on the flow have been analyzed within the purview of the boundary conditions adhering to the super position of visco-elastic fluids over viscous fluids. It is observed that the visco-elasticity of the fluid makes the system unstable even for potentially stable configuration Medium Permeability has influenced the stability of the system to a great extent. The system is stable or unstable according to the kinematic visco-elasticity being less than or greater than a quantity depending upon medium permeability, medium porosity and ratio of fluid densities.

Keywords

Hydrodynamics, Instability, Walters’ B′ fluid, Porous medium