Unsteady Stokes Flow through a Porous Pipe with Periodic Suction and Injection with Slip Conditions

Document Type : Research Paper

Authors
Zarqa Bano 1
Abdul Majeed Siddiqui 2
Kaleemullah Bhatti 1
1 Department of Mathematics and Social Sciences, Sukkur IBA University, Airport Road Sukkur, 65200, Pakistan
2 Department of Mathematics (York Campus), Pennsylvania State University, York, PA 17403, USA
10.22055/jacm.2020.32136.1973
Abstract
The problem of unsteady Stokes flow of certain Newtonian fluids in a circular pipe of uniform cross section is discussed. The pipe is uniformly porous. The unsteady Navier-Stokes equations for the system in cylindrical polar coordinates have been solved analytically to obtain a complete description of the flow. The solution of the flow equations subject to the slip boundary conditions leads to the detailed expressions for axial and radial components of velocity and the pressure distribution depending on position coordinates and time. As a special case we have presented the situation when no-slip boundary conditions are implemented. The velocity profile is analyzed for different values of the flow parameters like Womersley number, slip length and time.
Keywords
Hydrodynamics
Porous Channel
Periodic Suction and Injection
Slippage Effects
Subjects
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Journal of Applied and Computational Mechanics
Volume 6, Special Issue
Autumn 2020
Pages 1168-1177