Couette flow of a Bingham plastic in a channel with equally porous parallel walls

Couette–Poiseuille flow of Bingham fluids between two porous parallel plates with slip conditions

“…In their monograph, Kapur et al [4] gave a detailed review of the non-Newtonian fluid flow between two porous parallel plates. Recently, Tsangaris et al [5] referred to a series of new studies about the flow through porous channels or tubes of Newtonian and non-Newtonian fluids.…”

“…Among the previous studies, Tsangaris et al [5] are the first who derived the analytical solutions of Couette-Poiseuille flow * Corresponding author. of Bingham plastic fluids between two porous parallel plates.…”

“…These four flow forms are as follows: Case (1) double shear flow and plug flow coexist; Case (2) single shear flow and plug flow attached to the moving wall coexist; Case (3) single shear flow and plug flow attached to the stationary wall coexist; Case (4) pure shear flow. Tsangaris et al [5] indicated that the position of the plug flow inside the channel depended on the Reynolds and Couette numbers for a fixed Bingham number, and that the plug flow would disappear when the absolute value of the Couette number is large enough, in which case the Bingham plastic fluid behaves as a Newtonian fluid.…”

“…This model was adopted by Verma and Sacheti [10] to study the Hagen-Poiseuille flow and the plane Poiseuille flow of a power fluid between porous walls. However, in the case of the Couette-Poiseuille flow of a Bingham plastic fluid, the solutions were derived by Tsangaris et al [5] without considering the effect of slip at the porous walls. This paper will extend their work to a more general situation including the slip effect at the porous boundaries by adopting Beavers and Joseph's model.…”

Unsteady MHD free convective Couette flow between vertical porous plates with thermal radiation

“…Many studies have been conducted on steady state Couette flow under different physical situations (Tsangaris et al, 2007;Barletta and Magyari, 2008;Chen and Zhu, 2008;Chaughan and Rastogi, 2012) while many others considered their investigation on unsteady Couette flow problems (Dash and Biswal, 1989;Zhu and De Kee, 2007;Raptis, 2011;Salama, 2011;Seth et al, 2012;Jha et al, 2013).…”