HYDROMAGNETIC FLOW NEAR A NON-UNIFORM ACCELERATING PLATE IN THE PRESENCE OF MAGNETIC FIELD THROUGH POROUS MEDIUM

被引：4

作者：

Khan, Amir ^{[1
,2
]}

Zaman, Gul ^{[1
]}

Rahman, Ghaus ur ^{[2
]}

机构：

[1] Univ Malakand, Dept Math, Dir Lower, Khyber Pakhtunk, Pakistan

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

来源：

JOURNAL OF POROUS MEDIA | 2015年 / 18卷 / 08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; FRACTIONAL JEFFREY FLUID; 2 PARALLEL PLATES; HEAT-TRANSFER; MODEL;

D O I：

10.1615/JPorMedia.v18.i8.50

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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

引用

页码：801 / 809

页数：9

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