Flow of a Viscoelastic Fluid Between Eccentric Cylinders. II. Fourth-Order Theory for Longitudinal Shearing Flow.

摘要

The flow of a viscoelastic fluid in the annular region between two eccentrically-mounted circular cylinders, resulting from the motion of one cylinder relative to the other with uniform velocity parallel to the cylinder axes, is discussed. It is assumed that the flow is sufficiently slow so that the fourth-order Rivlin-Ericksen constitutive equation is applicable. In accordance with earlier work of Jones and Jones, based on a constitutive equation proposed by Oldroyd, it is found that a transverse force is exerted on each of the cylinders and a secondary flow takes place in planes normal to the cylinder axes. This is governed by a single material constant, which is a combination of various constants occurring in the fourth-order Rivlin-Ericksen constitutive equation. (Author)