Unsteady Boundary Layer Flow of Fractional Oldroyd-B Viscoelastic Fluid Past a Moving Plate in a Porous Medium
Year: 2017
Author: Shurui Chen, Ming Shen, Hui Chen
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 4 : pp. 353–363
Abstract
This paper considers the unsteady boundary layer flow over a moving flat plate embedded in a porous medium with fractional Oldroyd-B viscoelastic fluid. The governing equations with mixed time-space fractional derivatives are solved numerically by using the finite difference method combined with an L1-algorithm. The effect of various physical parameters on the velocity and average skin friction are discussed and graphically illustrated in detail. Results show that the porosity $ϵ$ and fractional derivative $α$ enhance the flow of Oldroyd-B viscoelastic fluid within porous medium, but fractional derivative $β$ weakens the flow. Moreover, it is found that the average skin friction coefficient rises with the increase of fractional derivative $β.$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20616
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 4 : pp. 353–363
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: fractional derivative Oldroyd-B viscoelastic fluid porous medium moving plate.