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Research Paper | Mathematics | India | Volume 9 Issue 12, December 2020

Laminar Stratified (Unsteady) Flow over a Porous Bed under the Action of a Body Force

Dr K C Nandy

Abstract: In this paper, we have studied the unsteady flow of viscous stratified fluid over a permeable bed under the action of a body force. We have studied the effect of slip parameter α, porosity factor σ and viscous stratification factor η on the flow over a permeable bed on the fractional increase in the mass flow rate |ϕ|. We have also calculated fractional increase |ϕ| in mass flow rate with the assumption of the validity of Darcy Law for laminar flow when R < 1. We have seen that for very small body force and for fixed σ and set of η and α have no effect on |ϕ| but for large body force |ϕ| increases with the increase of σ for each set η and α and |ϕ| decreases with the increase of η for each set of σ and α. Thus it can be predicted that the stratification factor is not favourable to the fractional increase in mass flow rate.

Keywords: Laminar Stratified flow, stratification factor, porosity factor, body force, the fractional increase in mass flow, Navier Stokes equation, Darcy law

Edition: Volume 9 Issue 12, December 2020,

Pages: 1039 - 1041