Computational Analysis of Wall Roughness Effects for Liquid Flow in Micro-Conduits

[+] Author and Article Information
C. Kleinstreuer, J. Koo

Department of Mechanical & Aerospace Engineering, North Carolina State University, Raleigh, NC 27695-7910

J. Fluids Eng 126(1), 1-9 (Feb 19, 2004) (9 pages) doi:10.1115/1.1637633 History: Received January 27, 2003; Revised August 16, 2003; Online February 19, 2004
Copyright © 2004 by ASME
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Schematics of the micro-journal bearing: R1 and R2 represent radii of the rotor and stator, respectively, whereas ξ1L1U2L and ξ2U are the interface coordinates of the inner and outer porous layers
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Comparison of modeling results with Poiseuille flow for (a) PML microchannel; and (b) PML microtube
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Comparisons of porous medium layer (PML) model predictions with experimental data: (a) Mala and Li (1999); and (b) Guo and Li (2003) (Reprinted from Ref. 3 with written permission from IOP, Bristol, UK)
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Effect of Darcy number on microtubular velocity profile (ReD=2000,h/Dh=0.02, the Forchheimer term is retained). (Reprinted from Ref. 3 with written permission from IOP, Bristol, UK)
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Effects of Reynolds number, surface roughness, Darcy number, and Forchheimer drag term on the change in friction factor for microtubular flows
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The effect of Darcy number, DaR, on the velocity profiles in the gap
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The effect of roughness layer on the torque required to maintain flow field: (a) 10% clearance case; (b) 20% clearance case; and (c) 40% clearance case
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The effect of clearance width on the torque: R is the nominal radius of the stator
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The effect of the Darcy number difference on the required torque
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Porous medium layer equivalent to surface roughness and simple microchannel geometry: (a) real surface roughness; (b) homogeneous distribution of identical roughness elements; and (c) mid-plane view of conduit with idealized roughness layer, or porous medium layer (PML).
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Flowcharts: (a) Flow field solution in a microchannel with constant homogeneous porous wall layers; and (b) Velocity profiles in the annulus between the rotor and the stator (see Fig. 3 for the definition of symbols)




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