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

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...

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Bibliographic Details
Published inJournal of applied and computational mechanics Vol. 6; no. Special Issue; pp. 1168 - 1177
Main Authors Zarqa Bano, Abdul Majeed Siddiqui, Kaleemullah Bhatti
Format Journal Article
LanguageEnglish
Published Shahid Chamran University of Ahvaz 01.12.2020
Subjects
hydrodynamics
periodic suction and injection
porous channel
slippage effects
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Summary: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.
ISSN:2383-4536
2383-4536
DOI:10.22055/jacm.2020.32136.1973