Micropolar Fluid Flow Through a Channel - A Mathematical Model for Lung Alveolar Sheet

Abstract

In this paper, a mathematical model for the flow of micropolar fluid through a channel covered by a porous media has been derived. In the channel space we have assumed the creeping flow. In the porous space the flow is governed by Brinkman’s model. Fourier series expansions have been employed to derive the solution of the partial differential equations. The presented analytical results of velocities, pressures and wall shear stress are computed with the desired experimental data, obtained from various important studies and presented graphically with the view of importance in the present context. Investigation shows that the fluid parameters (rotational) are highly significant for the flow in the interstitial space. Apart from this, the effects of some constants (first derived by Tang and Fung [6]) on the interstitial flow are incorporated into the discussion.