Momeni-Masuleh, S. H. and Phillips, Timothy Nigel  ORCID: https://orcid.org/0000-0001-6455-1205
2004.
Viscoelastic flow in an undulating tube using spectral methods.
Computers & Fluids
33
(8)
, pp. 1075-1095.
10.1016/j.compfluid.2003.09.002
|
Abstract
The flow of a viscoelastic fluid through an undulating tube is considered. The fluid is modelled using the UCM constitutive equation. The governing set of equations is solved using a time-splitting technique. This is based on separate treatments of the convection and generalised Stokes operators. The spatial discretisation is based on a spectral discretisation in which the radial basis functions satisfy the conditions along the axis of symmetry of the tube explicitly. Compatible approximation spaces are chosen for velocity, pressure and extra-stress. The convection problem is solved in a type-sensitive manner using a high-order Runge–Kutta method. The weak formulation of the generalised Stokes problem is discretised and solved using a nested conjugate gradient technique. The effect of elasticity on flow resistance is investigated and comparisons made with other results in the literature.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | Elsevier |
| ISSN: | 0045-7930 |
| Last Modified: | 18 Oct 2022 13:36 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/14592 |
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