In the current study, we report the results of a detailed and systematic numerical investigation of developing pipe flow of inelastic non-Newtonian fluids obeying the power-law model. We are able to demonstrate that a judicious choice of the Reynolds number allows the development length at high Reynolds number to collapse onto a single curve (i.e., independent of the power-law index ). Moreover, at low Reynolds numbers, we show that the development length is, in contrast to existing results in the literature, a function of power-law index. Using a simple modification to the recently proposed correlation for Newtonian fluid flows (Durst, F. et al., 2005, “The Development Lengths of Laminar Pipe and Channel Flows,” J. Fluids Eng., 127, pp. 1154–1160) to account for this low Re behavior, we propose a unified correlation for , which is valid in the range and .
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e-mail: robpoole@liv.ac.uk
e-mail: blake.ridley@mwhglobal.com
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October 2007
Technical Papers
Development-Length Requirements for Fully Developed Laminar Pipe Flow of Inelastic Non-Newtonian Liquids
R. J. Poole,
R. J. Poole
Department of Engineering,
e-mail: robpoole@liv.ac.uk
University of Liverpool
, Brownlow Street, Liverpool L69 3GH, United Kingdom
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B. S. Ridley
B. S. Ridley
Department of Engineering,
e-mail: blake.ridley@mwhglobal.com
University of Liverpool
, Brownlow Street, Liverpool L69 3GH, United Kingdom
Search for other works by this author on:
R. J. Poole
Department of Engineering,
University of Liverpool
, Brownlow Street, Liverpool L69 3GH, United Kingdome-mail: robpoole@liv.ac.uk
B. S. Ridley
Department of Engineering,
University of Liverpool
, Brownlow Street, Liverpool L69 3GH, United Kingdome-mail: blake.ridley@mwhglobal.com
J. Fluids Eng. Oct 2007, 129(10): 1281-1287 (7 pages)
Published Online: April 20, 2007
Article history
Received:
January 2, 2007
Revised:
April 20, 2007
Citation
Poole, R. J., and Ridley, B. S. (April 20, 2007). "Development-Length Requirements for Fully Developed Laminar Pipe Flow of Inelastic Non-Newtonian Liquids." ASME. J. Fluids Eng. October 2007; 129(10): 1281–1287. https://doi.org/10.1115/1.2776969
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