Research Papers: Fundamental Issues and Canonical Flows

Laminar Non-Newtonian Fluid Flow in Noncircular Ducts and Microchannels

[+] Author and Article Information
Y. S. Muzychka, J. Edge

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NF, A1B 3X5, Canada

J. Fluids Eng 130(11), 111201 (Sep 22, 2008) (7 pages) doi:10.1115/1.2979005 History: Received January 22, 2008; Revised July 30, 2008; Published September 22, 2008

Non-Newtonian fluid flow in noncircular ducts and microchannels is examined. A simple model is proposed for power law fluids based on the Rabinowitsch–Mooney formulation. By means of a new characteristic length scale, the square root of the cross-sectional area, it is shown that dimensionless wall shear stress can be made a weak function of duct shape. The proposed model is based on the solution for the rectangular duct and has an accuracy of ±10% or better. The current model eliminates the need for tabulated data or equations for several common shapes found in handbooks, namely, circular tube, elliptic tube, parallel channel, rectangular duct, isosceles triangular duct, circular annulus, and polygonal ducts.

Copyright © 2008 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Shapes under consideration

Grahic Jump Location
Figure 2

τA∗ for noncircular ducts at n<1

Grahic Jump Location
Figure 3

τA∗ for noncircular ducts for n≥1



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