ON THE EFFECTIVENESS OF POROSITY ON TRANSIENT FLOW OF A VISCOELASTIC FLUID WITH TEMPERATURE DEPENDENT VISCOSITY UNDER AN EXPONENTIAL DECAYING PRESSURE GRADIENT

Document Type : Original Article

Authors

1 Professor, Dept. of Engineering Mathematics and Physics, Fayoum University, El- Fayoum-63514, Egypt.

2 Lecturer, Dept. of Engineering Mathematics and Physics, Fayoum University, El- Fayoum-63514, Egypt.

Abstract

ABSTRACT
The transient flow and heat transfer through a porous medium of a non-Newtonian
viscoelastic fluid between two infinite horizontal porous plates is studied considering
a temperature dependent viscosity. The fluid is subjected to a uniform suction from
above and a uniform injection from below whereas a uniform and exponential
decaying pressure gradient is applied in the axial direction to drive the fluid motion.
The plates are kept at two different invariant temperatures. The equations of motion
and the energy equation including the dissipations are solved numerically using finite
differences to yield the velocity and temperature distributions for various values of
the included physical parameters.

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