Critical Study on Rotational Flow of a Fractional Oldroyd-B Fluid Induced by a Circular Cylinder
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-21
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We considered the unsteady flow of a fractional Oldroyd-B fluid through an infinite circular cylinder with the help of infinite Hankel and Laplace transforms.
The motion of the fluid is produced by the cylinder that, at time t=0+ is subject to a time-dependent angular velocity.
The established solutions have been presented under series form in terms of the generalized G functions satisfy all imposed initial and boundary conditions.
The corresponding solutions for ordinary Oldroyd-B, ordinary and fractional Maxwell, ordinary and fractional second-grade, and Newtonian fluids, performing the same motion, are acquired as limiting cases of general solutions.
The keynote points regarding this work to mention are that (1) we extracted the expressions for velocity field and shear stress corresponding to the motion of fractional second-grade fluid as a limiting case of general solutions; (2) the expressions for velocity field and shear stress are in the most simplified form in contrast with the studies of Siddique and Sajid (2011), in which the expression for the velocity field involves the convolution product as well as the integral of the product of generalized G functions.
Finally, numerical results are presented graphically and discussed in order to reveal some physical aspects of obtained results.
American Psychological Association (APA)
Kamran, M.& Athar, M.& Imran, M.. 2011. Critical Study on Rotational Flow of a Fractional Oldroyd-B Fluid Induced by a Circular Cylinder. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-501925
Modern Language Association (MLA)
Kamran, M.…[et al.]. Critical Study on Rotational Flow of a Fractional Oldroyd-B Fluid Induced by a Circular Cylinder. ISRN Mathematical Physics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-501925
American Medical Association (AMA)
Kamran, M.& Athar, M.& Imran, M.. Critical Study on Rotational Flow of a Fractional Oldroyd-B Fluid Induced by a Circular Cylinder. ISRN Mathematical Physics. 2011. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-501925
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501925