A hydromagnetic flow through porous medium near an accelerating plate in the presence of magnetic field

被引：0

作者：

Khan, Amir ^{[1
,2
]}

Zaman, Gul ^{[1
]}

机构：

[1] Univ Malakand, Dept Math, Chakdara, Dir Lower Khybe, Pakistan

[2] Univ Swat, Dept Math & Stat, Khyber Pakhtunkhwa, Pakistan

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2018年 / 25卷 / 03期

关键词：

MHD flow; generalized second-grade fluid; fractional derivatives; Fox H-functions; discrete Laplace transform; OLDROYD-B FLUID; GENERALIZED 2ND-GRADE FLUID; STOKES 1ST PROBLEM; MHD FLOW; MOTION;

D O I：

10.1515/gmj-2017-0017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New exact solutions are obtained for unsteady magnetohydrodynamic (MHD) flows of a generalized second-grade fluid near a uniform accelerating plate. The generalized second-grade fluid saturates the porous space. A fractional derivative is used in the governing equation. Analytical expressions for the velocity and shear stress fields are obtained by using the Laplace transform technique for fractional calculus. The obtained solutions are expressed in the series form in terms of Fox H-functions. Similar solutions for an ordinary second-grade fluid passing through a porous space are also derived. Moreover, several graphs are constructed for the pertinent parameters to analyze the characteristics of the velocity and shear stress field.

引用

页码：409 / 418

页数：10

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