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Journal of Porous Media
インパクトファクター: 1.49 5年インパクトファクター: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

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

巻:
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Journal of Porous Media

DOI: 10.1615/JPorMedia.v21.i7.20
pages 589-605

COMBINED POROUS AND MAGNETIC EFFECTS ON SOME FUNDAMENTAL MOTIONS OF NEWTONIAN FLUIDS OVER AN INFINITE PLATE

Constantin Fetecau
Academy of Romanian Scientists, Bucharest 050094, Romania; Department of Mathematics, Technical University of Iasi 700050, Romania
Rahmat Ellahi
Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia; Department of Mathematics, Faculty of Basic and Applied Sciences, IIU, Islamabad, Pakistan
Masood Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Nehad Ali Shah
Abdus Salam School of Mathematical Sciences GC, University Lahore, Pakistan

要約

General expressions for the dimensionless velocity and shear stress fields and the skin friction coefficient corresponding to the motion due to a moving plate are used to provide new interesting solutions for the second problem of Stokes. As a novelty, the solutions corresponding to the motion induced by cosine oscillations of the plate reduce to the classical solutions of Stokes' first problem if the frequency of the plate oscillations becomes or tends to zero. Porous and magnetic effects are taken into consideration and, for the first time in the literature, their combined influence is graphically underlined and discussed for some motions with engineering applications. As an application, exact solutions are developed for motions induced by an arbitrary time-dependent shear stress on the boundary. In both cases, characteristics of hydromagnetic motion of Newtonian fluids over an infinite plate embedded in a porous medium do not depend on magnetic and porous parameters independently and a two-parameter approach is superfluous or even misleading both physically and computationally.


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