Unsteady flow of a thixotropic fluid in a slowly varying pipe

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.
LanguageEnglish
Article number083103
Number of pages11
JournalPhysics of Fluids
Volume29
Issue number8
DOIs
Publication statusPublished - 21 Aug 2017

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unsteady flow
Unsteady Flow
Perturbation Solution
Fluid
Pipe Flow
Axisymmetric Flow
Lubrication
fluids
Model Reduction
Postulate
axisymmetric flow
Efficacy
perturbation
pipe flow
lubrication
axioms
Perturbation
casts
Model
Range of data

Keywords

  • thixotropic fluid
  • antithixotropic fluid
  • fluid dynamics

Cite this

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title = "Unsteady flow of a thixotropic fluid in a slowly varying pipe",
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.",
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Unsteady flow of a thixotropic fluid in a slowly varying pipe. / Croudace, Andrew I.; Pritchard, David; Wilson, Stephen K.

In: Physics of Fluids, Vol. 29, No. 8, 083103, 21.08.2017.

Research output: Contribution to journalArticle

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AU - Pritchard, David

AU - Wilson, Stephen K.

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AB - 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.

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KW - fluid dynamics

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