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インパクトファクター: 1.752 5年インパクトファクター: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

# Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i12.10
pages 1079-1091

## STOKES'S FIRST PROBLEM FOR A ROTATING SISKO FLUID WITH POROUS SPACE

Tasawar Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
Shirley Abelman
DST-NRF Center of Excellence in Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, Johannesburg, South Africa
Charis Harley
Centrefor Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg Private Bag 3, Wits 2050, South Africa
Awatif A. Hendi
Department of Physics, Faculty of Sciences, King Saud University, P. O. Box 1846, Riyadh 11321, Saudi Arabia

### 要約

In this paper the unsteady flow of a Sisko fluid induced by a suddenly moved infinitely long plate is investigated in a rotating frame. The fluid occupying the porous half-space is electrically conducting in the presence of a time-varying magnetic field. Conservation laws of mass and momentum are utilized in the derivation of the differential equation. The modified Darcy's law is employed in the problem development. The governing nonlinear problem is solved numerically. The effects of various parameters of interest on the velocity profiles are shown explicitly.

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