Flow field of a third-grade non-Newtonian fluid in the annulus of rotating concentric cylinders in the presence of magnetic field

被引：9

作者：

Feiz-Dizaji, A. ^{[1
]}

Salimpour, M. R. ^{[1
]}

Jam, F. ^{[1
]}

机构：

[1] Univ Tehran, Fac Engn, Tehran, Iran

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 01期

关键词：

third-grade fluid; Schauder's fixed point theorem; magnetic field; Ascoli-Arzela theorem; Banach space;

D O I：

10.1016/j.jmaa.2007.03.110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in this paper, the flow field of a third-grade non-Newtonian fluid in the annulus of rotating concentric cylinders has been investigated in the presence of magnetic field. For this purpose, the constitutive equation of such a fluid flow was simplified, and. the existence of the solution to the governing equation was established using Schauder's fixed point theorem. Using the finite difference method, the numerical solution of the non-dimensionalized form of the established governing equation was obtained. The effect of sundry parameters such as the rotating speed of the cylinders, the physical properties of fluid, and magnetic field intensity on the fluid velocity field was studied as well. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：632 / 645

页数：14

共 17 条

[1] On Stokes' problem for the flow of a third-grade fluid induced by a variable shear stress [J].