Unsteady flow of a thixotropic fluid in a slowly varying pipe

Andrew I. Croudace; David Pritchard; Stephen K. Wilson

doi:10.1063/1.4998960

Unsteady flow of a thixotropic fluid in a slowly varying pipe

Andrew I. Croudace, David Pritchard, Stephen K. Wilson

Mathematics And Statistics

Research output: Contribution to journal › Article

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.

Language	English
Article number	083103
Number of pages	11
Journal	Physics of Fluids
Volume	29
Issue number	8
DOIs	10.1063/1.4998960
Publication status	Published - 21 Aug 2017

Fingerprint

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

Croudace, A. I., Pritchard, D., & Wilson, S. K. (2017). Unsteady flow of a thixotropic fluid in a slowly varying pipe. Physics of Fluids, 29(8), [083103]. https://doi.org/10.1063/1.4998960

Croudace, Andrew I. ; Pritchard, David ; Wilson, Stephen K. / Unsteady flow of a thixotropic fluid in a slowly varying pipe. In: Physics of Fluids. 2017 ; Vol. 29, No. 8.

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Croudace, AI , Pritchard, D & Wilson, SK 2017, 'Unsteady flow of a thixotropic fluid in a slowly varying pipe' Physics of Fluids, vol. 29, no. 8, 083103. https://doi.org/10.1063/1.4998960

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 journal › Article

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