Viscoelastic flow in an undulating tube using spectral methods

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

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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:	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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