UNSTEADY NON-NEWTONIAN FLUID FLOW PROBLEM IN PLANESOLVING BY MAC METHOD

Abstract

In this paper consideration is given to viscose, incompressible, time-depended and
non-Newtonian fluid flowing in a straight pipe with square cross-section under the
action of pressure gradient. In particular consideration is given to second order fluid
flow which can be represented by the equation of state of the form:


 
2
1
2 4
k
ij ij ik kj T  e  e e i,j = 1,2
Where η viscosity coefficient and ζ is normal stress coefficient and, Tij and eij , i,j =1,2
are the stress and rate of strain respectively. Cartesian coordinate system has been used
to describe the fluid motion and it is found that equations of motion are controlled by
Reynolds number and non-Newtonian parameter. The motion equations are solved by an
explicit method namely MAC. Our study is ended with studying the effect of Reynolds
number and non-Newtonian parameter on the fluid