Exact solutions for the unsteady axial flow of Non-Newtonian fluids through a circular cylinder

The velocity field and the shear stress corresponding to the motion of a generalized Oldroyd-B fluid due to an infinite circular cylinder subject to a longitudinal time-dependent shear stress are established by means of the Laplace and finite Hankel transforms. The exact solutions, written under ser...

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Bibliographic Details
Published inCommunications in nonlinear science & numerical simulation Vol. 16; no. 1; pp. 226 - 238
Main Authors Siddique, Imran, Sajid, Zamra
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2011
Subjects
Circular cylinders
Computational fluid dynamics
Exact solutions
Fluid flow
Fluids
Fractional calculus
Generalized Oldroyd-B fluid
Longitudinal shear stress
Mathematical analysis
Mathematical models
Shear stress
Velocity field
Longitudinal shear stress
Velocity field
Fractional calculus
Generalized Oldroyd-B fluid
Exact solutions
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Summary:The velocity field and the shear stress corresponding to the motion of a generalized Oldroyd-B fluid due to an infinite circular cylinder subject to a longitudinal time-dependent shear stress are established by means of the Laplace and finite Hankel transforms. The exact solutions, written under series form, can be easily specialized to give the similar solutions for generalized Maxwell and generalized second grade fluids as well as for ordinary Oldroyd-B, Maxwell, second grade and Newtonian fluids performing the same motion. Finally, some characteristics of the motion as well as the influence of the material parameters on the behavior of the fluid are shown by graphical illustrations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2010.03.010