Self-Similar Unsteady Flow of a Sisko Fluid in a Cylindrical Tube Undergoing Translation.

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dc.contributor.authorKhan, M.
dc.contributor.authorAbelman, S.
dc.contributor.authorMahomed, F.M.
dc.date.accessioned2016-06-06T14:38:39Z
dc.date.available2016-06-06T14:38:39Z
dc.date.issued2015
dc.description.abstractThe governing nonlinear equation for unidirectional flow of a Sisko fluid in a cylindrical tube due to translation of the tube wall is modelled in cylindrical polar coordinates.The exact steady-state solution for the nonlinear problem is obtained.Thereduction of the nonlinear initial value problem is carried out by using a similarity transformation.The partial differential equation is transformed into an ordinary differential equation, which is integrated numerically taking into account the influence of the exponent n and the material parameter b of the Sisko fluid. The initial approximation for the fluid velocity on the axis of the cylinder is obtained by matching inner and outer expansions for the fluid velocity. A comparison of the velocity, vorticity, and shear stress of Newtonian and Sisko fluids is presented.en_ZA
dc.identifier.citationKhan, M., Abelman, S., and Mason, D.P., Mahomed, F.M. 2015. Mathematical Problems in Engineering.en_ZA
dc.identifier.issn1024-123X (Print)
dc.identifier.issn1563-5147 (Online)
dc.identifier.urihttp://hdl.handle.net/10539/20432
dc.language.isoenen_ZA
dc.publisherHindawi Publishing Corporationen_ZA
dc.subjectInitial value problemsen_ZA
dc.subjectMathematical transformationen_ZA
dc.subjectNonlinear equationsen_ZA
dc.subjectOrdinary differential equationsen_ZA
dc.subjectShear stress Cylindrical tubeen_ZA
dc.subjectInitial approximationen_ZA
dc.subjectMaterial parameteren_ZA
dc.subjectNonlinear initial-value problemen_ZA
dc.subjectSimilarity transformationen_ZA
dc.subjectSteady state solutionen_ZA
dc.subjectUnidirectional flowen_ZA
dc.subjectNonlinear problemsen_ZA
dc.titleSelf-Similar Unsteady Flow of a Sisko Fluid in a Cylindrical Tube Undergoing Translation.en_ZA
dc.typeArticleen_ZA
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