Flow of Two Immiscible Couple Stress Fluids between Two Permeable Beds
Publish place: Journal of Applied Fluid Mechanics، Vol: 9، Issue: 1
Publish Year: 1394
Type: Journal paper
Language: English
View: 178
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Document National Code:
JR_JAFM-9-1_049
Index date: 25 January 2022
Flow of Two Immiscible Couple Stress Fluids between Two Permeable Beds abstract
The paper deals with the flow of two immiscible couple stress fluids between two homogeneous permeable beds. The flow is considered in two zones: zone I and II contain free flow of two immiscible couple stress fluids between two permeable porous beds at the bottom and top. The flow in the free channel bounded by two permeable beds is assumed to be governed by Stokes’s couple stress fluid flow equations and that in the permeable beds by Darcy’s law. The continuity of velocity, vorticity, shear stress and couple stress are imposed at the fluid-fluid interface and Beavers-Joseph (BJ) slip boundary conditions are employed at the fluid-porous interface. The equations are solved analytically and the expressions for velocity, skin friction and volumetric flow rate are obtained. The effects of the physical governing parameters on velocity are investigated.
Flow of Two Immiscible Couple Stress Fluids between Two Permeable Beds Keywords:
Beavers , Immiscible fluids , Couple stress fluid , Joseph (BJ) slip boundary condition , Permeable beds , Darcy’s law
Flow of Two Immiscible Couple Stress Fluids between Two Permeable Beds authors
J. Srinivas
Department of Mathematics, National Institute of Technology Meghalaya, Shillong-۷۹۳۰۰۳, Meghalaya State, India
J. V. Ramana Murthy
Department of Mathematics, National Institute of Technology, Warangal-۵۰۶۰۰۴, Telangana State, India