![](/images/graphics-bg.png)
Analytical Solutions for the Flow of a Fractional Second Grade Fluid due to a Rotational Constantly Accelerating Shear
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-09
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Exact analytic solutions are obtained for the flow of a generalized second grade fluid in an annular region between two infinite coaxial cylinders.
The fractional calculus approach in the governing equations of a second grade fluid is used.
The exact analytic solutions are constructed by means of Laplace and finite Hankel transforms.
The motion is produced by the inner cylinder which is rotating about its axis due to a constantly accelerating shear.
The solutions that have been obtained satisfy both the governing equations and all imposed initial and boundary conditions.
Moreover, they can be easily specialized to give similar solutions for second grade and Newtonian fluids.
Finally, the influence of the pertinent parameters on the fluid motion, as well as a comparison between the three models, is underlined by graphical illustrations.
American Psychological Association (APA)
Kamran, M.& Imran, M.& Athar, M.. 2012. Analytical Solutions for the Flow of a Fractional Second Grade Fluid due to a Rotational Constantly Accelerating Shear. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-467046
Modern Language Association (MLA)
Kamran, M.…[et al.]. Analytical Solutions for the Flow of a Fractional Second Grade Fluid due to a Rotational Constantly Accelerating Shear. ISRN Mathematical Physics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-467046
American Medical Association (AMA)
Kamran, M.& Imran, M.& Athar, M.. Analytical Solutions for the Flow of a Fractional Second Grade Fluid due to a Rotational Constantly Accelerating Shear. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-467046
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467046