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

Date
2017
Abstract
The work in this paper concerns the axisymmetric pipe ow of a Herschel-Bulkley uid, with the aim of determining a relation between the critical velocity (de ning the transition between laminar and turbulent ow) 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 uids the transition occurs at similar values to the Newtonian case, namely in the range 2100 < Re3 < 2500.
Supervisor
Description
peer-reviewed
Publisher
IOP Publishing
Citation
Journal of Physics: Conf. Series;811, 012007
Collections
Mathematics & Statistics
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Mitchell_2017_analysis.pdf
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Keywords
pipe flow
ULRR Identifiers
https://researchrepository.ul.ie/handle/10344/5930
 https://doi.org/10.34961/4221
Funding code
Funding Information
Ministerio de Ciencia e Innovación, Science Foundation Ireland (SFI)
Sustainable Development Goals
External Link
Type
Meetings and Proceedings
Rights
https://creativecommons.org/licenses/by-nc-sa/1.0/
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