Analytical solutions for the flow of a fractional second grade fluid due to a rotational constantly accelerating shear
type: Item
instance of: scholarly article
title: Analytical solutions for the flow of a fractional second grade fluid due to a rotational constantly accelerating shear
zbMATH Open document ID: 1360.76344
DOI: 10.5402/2012/374670
published in: ISRN Mathematical Physics
publication date: 2012-10-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 6092159
Wikidata QID: Q58690610
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/374670
OpenAlex ID: W1964141036
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author: M. Kamran
author: M. Imran
author: M. Athar
description: scientific article; zbMATH DE number 6092159