To solve problems in polymer fluid dynamics, one needs the equations of continuity, motion,
and energy. The last two equations contain the stress tensor and the heat-flux vector for the …

In this paper, a mathematical model for wire coating in the presence of pressure type die
along with the bath of Oldroyd 8-constant fluid is presented. The model is governed by a …

The Oldroyd 8-constant model is a continuum framework containing, as special cases, many
important constitutive equations for elastic liquids. When polymeric liquids undergo large …

The physics of macromolecular orientation has been used to explain the elasticity of
polymeric liquids. Specifically, by first sculpting a rigid bead–rod likeness of the …

General rigid bead-rod theory [O. Hassager,“Kinetic theory and rheology of bead-rod models
for macromolecular solutions. II. Linear unsteady flow properties,” J. Chem. Phys. 60 (10) …

Of the many seminal contributions by Oldroyd to science and engineering, his weightiest
embodies his 1958 general vision of the expected and allowable constitutive behaviors of …

Calendering is the process in which molten material is dragged through the nip region to
produce a film or sheet. By nip region, we mean the area between two corotating rolls. Here …

In this paper, we provide a new exact framework for analyzing the most commonly measured
behaviors in large-amplitude oscillatory shear flow (LAOS), a popular flow for studying the …

The Oldroyd 8-constant framework for continuum constitutive theory contains a rich diversity
of popular special cases for polymeric liquids. In this paper, we use part of our exact solution …

One good way to explore fluid microstructure, experimentally, is to suddenly subject the fluid
to a large steady shearing deformation and to then observe the evolving stress response. If …