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Unsteady longitudinal flow of a generalized Oldroyd-B fluid in cylindrical domains

โœ Scribed by M. Nazar; Qamar Sultan; M. Athar; M. Kamran

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
512 KB
Volume
16
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

Considering a fractional derivative model the unsteady flow of an Oldroyd-B fluid between two infinite coaxial circular cylinders is studied by using finite Hankel and Laplace transforms. The motion is produced by the inner cylinder which is subject to a time dependent longitudinal shear stress at time t = 0 + . The solution obtained under series form in terms of generalized G and R functions, satisfy all imposed initial and boundary conditions. The corresponding solutions for ordinary Oldroyd-B, generalized and ordinary Maxwell, and Newtonian fluids are obtained as limiting cases of our general solutions. The influence of pertinent parameters on the fluid motion as well as a comparison between models is illustrated graphically.

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