An asymptotic analysis of the laminar-turbulent transition of yield stress fluids in pipes

Tim G. Myers, Sarah L. Mitchell, Paul Slatter

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The work in this paper concerns the axisymmetric pipe flow of a Herschel–Bulkley fluid, with the aim of determining a relation between the critical velocity (defining the transition between laminar and turbulent flow) and the pipe diameter in terms of the Reynolds number Re3. The asymptotic behaviour for large and small pipes is examined and simple expressions for the leading order terms are presented. Results are then compared with experimental data. A nonlinear regression analysis shows that for the tested fluids the transition occurs at similar values to the Newtonian case, namely in the range 2100 < Re3 < 2500.

Original languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer International Publishing
Pages35-40
Number of pages6
DOIs
Publication statusPublished - 2018

Publication series

NameTrends in Mathematics
Volume10
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

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