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Volume 33, Issue 4
Unsteady Boundary Layer Flow of Fractional Oldroyd-B Viscoelastic Fluid Past a Moving Plate in a Porous Medium

Shurui Chen, Ming Shen & Hui Chen

Ann. Appl. Math., 33 (2017), pp. 353-363.

Published online: 2022-06

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  • 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 $β.$

  • Keywords

fractional derivative, Oldroyd-B viscoelastic fluid, porous medium, moving plate.

  • AMS Subject Headings

76A10, 26A33

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-353, author = {Chen , ShuruiShen , Ming and Chen , Hui}, title = {Unsteady Boundary Layer Flow of Fractional Oldroyd-B Viscoelastic Fluid Past a Moving Plate in a Porous Medium}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {4}, pages = {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 $β.$

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20616.html} }
TY - JOUR T1 - Unsteady Boundary Layer Flow of Fractional Oldroyd-B Viscoelastic Fluid Past a Moving Plate in a Porous Medium AU - Chen , Shurui AU - Shen , Ming AU - Chen , Hui JO - Annals of Applied Mathematics VL - 4 SP - 353 EP - 363 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20616.html KW - fractional derivative, Oldroyd-B viscoelastic fluid, porous medium, moving plate. AB -

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 $β.$

Shurui Chen, Ming Shen & Hui Chen. (2022). Unsteady Boundary Layer Flow of Fractional Oldroyd-B Viscoelastic Fluid Past a Moving Plate in a Porous Medium. Annals of Applied Mathematics. 33 (4). 353-363. doi:
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