Unsteady flow of a thixotropic fluid in a slowly varying pipe
Croudace, Andrew I. and Pritchard, David and Wilson, Stephen K. (2017) Unsteady flow of a thixotropic fluid in a slowly varying pipe. Physics of Fluids, 29 (8). 083103. ISSN 1070-6631 (https://doi.org/10.1063/1.4998960)
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Abstract
We analyse the unsteady axisymmetric flow of a thixotropic or antithixotropic fluid in a slowly varying cylindrical pipe. We derive general perturbation solutions in regimes of small Deborah numbers, in which thixotropic or antithixotropic effects enter as perturbations to generalised Newtonian flow. We present results for the viscous Moore–Mewis–Wagner model and the viscoplastic Houška model, and we use these results to elucidate what can be predicted in general about the behaviour of thixotropic and antithixotropic fluids in lubrication flow. The range of behaviour we identify casts doubt on the efficacy of model reduction approaches that postulate a generic cross-pipe flow structure.
ORCID iDs
Croudace, Andrew I. ORCID: https://orcid.org/0000-0002-3789-3573, Pritchard, David ORCID: https://orcid.org/0000-0002-9235-7052 and Wilson, Stephen K. ORCID: https://orcid.org/0000-0001-7841-9643;-
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Item type: Article ID code: 61437 Dates: DateEvent21 August 2017Published1 August 2017AcceptedSubjects: Science > Mathematics > Probabilities. Mathematical statistics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 02 Aug 2017 10:39 Last modified: 11 Nov 2024 11:45 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/61437