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ISSN 打印: 2151-4798
ISSN 在线: 2151-562X

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DOI: 10.1615/SpecialTopicsRevPorousMedia.v2.i2.60
pages 125-132

CLOSED-FORM SOLUTIONS FOR MHD FLOW OF A SECOND-GRADE FLUID THROUGH POROUS SPACE

Masood Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Kaleem Iqbal
Department of Mathematics, Quaid-i-Azam University, Islamabad Pakistan
M. Azram
Department of Science in Engineering, Faculty of Engineering, IIUM Kuala Lumpur 50727, Malaysia

ABSTRACT

In this paper, closed-form solutions corresponding to the motion of a second-grade fluid through porous space have been established by means of the Laplace transform. The fluid is assumed to be electrically conducting in the presence of a uniform magnetic field and occupies the porous space over an infinite flat plate. Three characteristic examples are considered: (i) flow due to impulsive motion of the plate, (ii) flow due to the impulsive accelerating plate, and (iii) flow due to the nonuniformly accelerated plate. The analytical results are confirmed numerically by drawing several graphs. The influence of pertinent parameters on flow is delineated. It is noted that the effects of the viscoelastic parameter of the fluid on the flow are much stronger for small values of the viscoelastic parameter as compared with large values of the viscoelastic parameter of the fluid.


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