Publication Type
Conference Proceeding Article
Version
publishedVersion
Publication Date
5-2000
Abstract
Fargie and Martin used an elegant approach to obtain the entry region flow of Newtonian fluids in a circular pipe. They combined the differential and integral momentum equation in such a way that elimination of pressure gradient leads to a closed form solution. In this paper we extend this procedure to study the laminar entry region flow of Herschel-Bulkley fluids in a circular pipe. The solution procedure involves certain approximations. Applicability of these approximations to Herschel-Bulkley fluids has been discussed and the flow description has been obtained for various values of the flow behavior index and the Herschel-Bulkley number. Results have been illustrated graphically and compared with other available solutions: momentum integral and momentum energy integral solutions of the problem. Data displayed in the paper should be useful for design of any flow intake device involving Herschel-Bulkley fluids.
Keywords
Entry region flow, Flow behavior, Momentum energy, Velocity pattern
Discipline
Physical Sciences and Mathematics
Research Areas
Quantitative Finance
Publication
Advances in Fluid Mechanics III: Proceedings of the 3rd International Conference on Advances in Fluid Mechanics AFM 2000: Montreal, Canada, 24-26 May
First Page
135
Last Page
144
ISBN
9781853128134
Publisher
WIT Press
City or Country
Southampton
Citation
GUPTA, R. C. and ZHAO, Yibao.
Laminar Entry Flow of Herschel-Bulkley Fluids in a Circular Pipe. (2000). Advances in Fluid Mechanics III: Proceedings of the 3rd International Conference on Advances in Fluid Mechanics AFM 2000: Montreal, Canada, 24-26 May. 135-144.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/938
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://www.witpress.com/Secure/elibrary/papers/AFM00/AFM00013FU.pdf