Effect of slip condition on unsteady flows of an oldroyd-b fluid between parallel plates

Abdul M. Siddiqui, T. Haroon, M. Zahid, A. Shahzad

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The unsteady flows of an incompressible Oldroyd-B fluid between two infinite parallel plates are considered when the slippage between the plate and the fluid is valid. The relative velocity between the fluid and plate is assumed to be proportional to the shear rate at the plates. The flow is generated by moving one of the plates or application of the constant pressure gradient giving arise to two unsteady boundary value problems. Analytical solutions of the problems are obtained. Effects of various dimensionless parameters emerging in the model on velocity field are presented graphically. It is shown that the solution exists for all values of non-Newtonian parameters. The solutions with no-slip condition for Maxwell, second grade and viscous fluid appear as limiting cases of the present results.

Original languageEnglish (US)
Pages (from-to)2282-2287
Number of pages6
JournalWorld Applied Sciences Journal
Volume13
Issue number11
StatePublished - Dec 1 2011

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Unsteady flow
Fluids
Pressure gradient
Shear deformation
Boundary value problems

All Science Journal Classification (ASJC) codes

  • General

Cite this

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abstract = "The unsteady flows of an incompressible Oldroyd-B fluid between two infinite parallel plates are considered when the slippage between the plate and the fluid is valid. The relative velocity between the fluid and plate is assumed to be proportional to the shear rate at the plates. The flow is generated by moving one of the plates or application of the constant pressure gradient giving arise to two unsteady boundary value problems. Analytical solutions of the problems are obtained. Effects of various dimensionless parameters emerging in the model on velocity field are presented graphically. It is shown that the solution exists for all values of non-Newtonian parameters. The solutions with no-slip condition for Maxwell, second grade and viscous fluid appear as limiting cases of the present results.",
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Effect of slip condition on unsteady flows of an oldroyd-b fluid between parallel plates. / Siddiqui, Abdul M.; Haroon, T.; Zahid, M.; Shahzad, A.

In: World Applied Sciences Journal, Vol. 13, No. 11, 01.12.2011, p. 2282-2287.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Haroon, T.

AU - Zahid, M.

AU - Shahzad, A.

PY - 2011/12/1

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