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Unsteady Boundary Layer Flow of Fractional Oldroyd-B Viscoelastic Fluid Past a Moving Plate in a Porous Medium

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.

Author Details

Shurui Chen Email

Ming Shen Email

Hui Chen Email