## Differential Equations and Nonlinear Mechanics

- Differ. Equ. Nonlinear Mech.
- Volume 2006 (2006), Article ID 075290, 14 pages.

### Influence of temperature-dependent viscosity on the MHD Couette flow of dusty fluid with heat transfer

#### Abstract

This paper studies the effect of variable viscosity on the transient Couette flow of dusty fluid with heat transfer between parallel plates. The fluid is acted upon by a constant pressure gradient and an external uniform magnetic field is applied perpendicular to the plates. The parallel plates are assumed to be porous and subjected to a uniform suction from above and injection from below. The upper plate is moving with a uniform velocity while the lower is kept stationary. The governing nonlinear partial differential equations are solved numerically and some important effects for the variable viscosity and the uniform magnetic field on the transient flow and heat transfer of both the fluid and dust particles are indicated.

#### Article information

**Source**

Differ. Equ. Nonlinear Mech., Volume 2006 (2006), Article ID 075290, 14 pages.

**Dates**

Received: 23 December 2005

Revised: 21 February 2006

Accepted: 29 May 2006

First available in Project Euclid: 26 January 2017

**Permanent link to this document**

https://projecteuclid.org/euclid.ijde/1485399766

**Digital Object Identifier**

doi:10.1155/DENM/2006/75290

**Mathematical Reviews number (MathSciNet)**

MR2233756

**Zentralblatt MATH identifier**

1132.76059

#### Citation

Attia, Hazem A. Influence of temperature-dependent viscosity on the MHD Couette flow of dusty fluid with heat transfer. Differ. Equ. Nonlinear Mech. 2006 (2006), Article ID 075290, 14 pages. doi:10.1155/DENM/2006/75290. https://projecteuclid.org/euclid.ijde/1485399766