Computations of non‐isothermal viscous and viscoelastic flows in abrupt contractions using a finite volume method
Abstract
A finite volume method is applied to numerical simulations of steady isothermal and non‐isothermal flows of fluids obeying different constitutive equations: Newtonian, purely viscous with shear‐thinning properties (Carreau law) and viscoelastic Upper Convected Maxwell differential model whose temperature dependence is described by a William‐Landel‐Ferry equation. The flow situations concern various abrupt axisymmetric contractions from 2:1 to 16:1. Such flow geometries are involved in polymer processing operations. The governing equations are discretized on a staggered grid with an upwind scheme for the convective‐type terms and are solved by a decoupled algorithm, stabilized by a pseudo‐transient stress term and an elastic viscous stress splitting technique. The numerical results highlight the influence of temperature on the flow situations, and also the complex behaviour of the materials under non‐isothermal conditions.
Keywords
Citation
Wachs, A., Clermont, J. and Khalifeh, A. (2002), "Computations of non‐isothermal viscous and viscoelastic flows in abrupt contractions using a finite volume method", Engineering Computations, Vol. 19 No. 8, pp. 874-901. https://doi.org/10.1108/02644400210450332
Publisher
:MCB UP Ltd
Copyright © 2002, MCB UP Limited