POLAR FLUID FLOW THROUGH VARIABLE-POROSITY, ISOTROPIC POROUS MEDIA

Abstract

Field equations governing the unsteady flow of an incompressible polar fluid through isotropic porous sediments are derived using intrinsic volume averaging. The porous microstructure is taken into account when modeling the Darcy resistance in order to illustrate how the rotational viscosity arises in the viscous shear term. The developed equations might be of interest in the study of lubrication problems in configurations involving porous linings; the study of polymer and oil flow through porous structures; or the study of blood flow through synthetic microchannels.