The Axisymmetric Slow Flow of a Viscoelastic Liquid into a Capillary

Numerical Perturbation Method for the Maxwell Model

Abstract

An elastic influence of a viscoelastic liquid on the three-dimensional axisymmetric slow flow into a capillary has numerically been investigated for the Maxwell model by the perturbation method.Comparing the behaviour of the three-dimensional axisymmetric flow with that of the two-dimensional plane one, it was confirmed that there was a great difference betweenthem in the values of Weissenberg number at which a viscoelastic effect on flow began to appear. In addition, differences in shear and normal stress of three-dimensional axisymmetric flow were determined to compare them with those of two-dimensional ones. (Received October 6, 1977)