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Compressible and nonisothermal viscoelastic flow between eccentrically rotating cylinders

Mackay, A. T. and Phillips, T. N. 2021. Compressible and nonisothermal viscoelastic flow between eccentrically rotating cylinders. Theoretical and Computational Fluid Dynamics 35 , pp. 735-756. 10.1007/s00162-021-00582-y

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Abstract

A Taylor-Galerkin finite element time marching scheme is derived to numerically simulate the flow of a compressible and nonisothermal viscoelastic liquid between eccentrically rotating cylinders. Solutions to the governing flow and constitutive equations are discretised and computed over a custom refined unstructured grid of piecewise linear Galerkin finite elements. An original extension to the DEVSS formulation for compressible fluids is introduced to stabilise solutions of the discrete problem. The predictions of two models: the extended White Metzner (EWM) and FENE-P-MP are presented. Comparisons between the torque and load bearing capacity predicted by both models are made over a range of viscoelastic parameters. The results highlight the significant and interacting effects of elasticity and compressibility on journal torque and resultant load, and the stability of the journal bearing system.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Additional Information: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
Publisher: Springer Verlag
ISSN: 0935-4964
Funders: EPSRC
Date of First Compliant Deposit: 24 August 2021
Date of Acceptance: 21 July 2021
Last Modified: 27 Sep 2021 08:08
URI: https://orca.cardiff.ac.uk/id/eprint/143646

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