Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer

被引：166

作者：

Ezzat, Magdy A. ^{[1
]}

机构：

[1] Univ Alexandria, Dept Math, Fac Educ, Alexandria, Egypt

来源：

PHYSICA B-CONDENSED MATTER | 2010年 / 405卷 / 19期

关键词：

Thermoelectric MHD; Viscoelastic fluid; Fourier's law; Modified Riemann-Liouville fractional; derivative; New fractional Taylor's series; Stokes' first problem; State space approach; Laplace transforms; Numerical method; FREE-CONVECTION; DISSIPATION; LAYER;

D O I：

10.1016/j.physb.2010.07.009

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

In this work, a new mathematical model of thermoelectric MHD theory has been constructed in the context of a new consideration of heat conduction with fractional order. This model is applied to Stokes' first problem for a viscoelastic fluid with heat sources. Laplace transforms and state-space techniques [1] will be used to obtain the general solution for any set of boundary conditions. According to the numerical results and its graphs, conclusion about the new theory has been constructed. Some comparisons have been shown in figures to estimate the effects of the fractional order parameter on all the studied fields. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：4188 / 4194

页数：7

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