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Physical Sciences and Mathematics

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Singapore Management University

Research Collection Lee Kong Chian School Of Business

2000

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Laminar Entry Flow Of Herschel-Bulkley Fluids In A Circular Pipe, R. C. Gupta, Yibao Zhao May 2000

Laminar Entry Flow Of Herschel-Bulkley Fluids In A Circular Pipe, R. C. Gupta, Yibao Zhao

Research Collection Lee Kong Chian School Of Business

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 …