Effect of Porosity on Unsteady Poiseuille Flow of a Viscoelastic Fluid with Temperature Dependent Viscosity

Hazem Ali  Attia

doi:10.6180/jase.2009.12.2.14

Effect of Porosity on Unsteady Poiseuille Flow of a Viscoelastic Fluid with Temperature Dependent Viscosity

Mathematics / Statistics

Hazem Ali Attia This email address is being protected from spambots. You need JavaScript enabled to view it.¹

¹Department of Mathematics, College of Science, Al-Qasseem University, P.O. Box 237, Buraidah 81999, KSA

Received: October 25, 2004
Accepted: March 12, 2005
Publication Date: June 1, 2009

Download Citation: ||https://doi.org/10.6180/jase.2009.12.2.14

ABSTRACT

The unsteady Poiseuille flow of a viscoelastic fluid between two horizontal porous plates in the presence of a porous medium is studied with heat transfer. The fluid viscosity is assumed to be temperature dependent and the fluid is subjected to a uniform suction from above and injection from below. The plates are maintained at two fixed but different temperatures. The motion of the fluid is produced by a uniform horizontal constant pressure gradient. The equation of motion and the energy equation are solved numerically to yield the velocity and temperature distributions.

Keywords: Non-Newtonian Fluid, Heat Transfer, Variable Properties, Numerical Solution, Porous Medium

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