Abstract
Hole pressure error, Pe, in the Poiseulle flow of viscoelastic fluids between two parallel plates was calculated numerically by means of Marker-and-Cell (MAC) method which is easy to develop into the calculations in a three-dimensional flow. The constitutive model used is the Rivlin-Ericksen second-order fluid model with variable coefficients.First, the calculations in a two-dimensional flow were carried out in order to clarify effects of geometric dimensions and shear-thinning viscosity on Pe. Pe is found to be dependent on the geometry, i.e., the width and depth of the slot and the channel height, and the shear-thinning viscosity. Next, the calculation in a three-dimensional flow across square holes was attempted in order to consider effect of the second normal stress difference. It is shown that the value of Pe increases consistently with increasing-N2/Ni, where NI and N2 are the first and second normal stress differences.
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