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Research Papers

Effects of Axial Corrugated Roughness on Low Reynolds Number Slip Flow and Continuum Flow in Microtubes

[+] Author and Article Information
Zhipeng Duan

Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

Y. S. Muzychka

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

J. Heat Transfer 132(4), 041001 (Feb 17, 2010) (9 pages) doi:10.1115/1.3211854 History: Received June 02, 2008; Revised January 14, 2009; Published February 17, 2010; Online February 17, 2010

The effect of axial corrugated surface roughness on fully developed laminar flow in microtubes is investigated. The radius of a microtube varies with the axial distance due to corrugated roughness. The Stokes equation is solved using a perturbation method with slip at the boundary. Analytical models are developed to predict friction factor and pressure drop in corrugated rough microtubes for continuum flow and slip flow. The developed model proposes an explanation on the observed phenomenon that some experimental pressure drop results for microchannel flow have shown a significant increase due to roughness. The developed model for slip flow illustrates the coupled effects between velocity slip and small corrugated roughness. Compressibility effect has also been examined and simple models are proposed to predict the pressure distribution and mass flow rate for slip flow in corrugated rough microtubes.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 2

B(λ,Kn∗) as a function of λ and Kn∗

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Figure 3

Effect of relative roughness ε, wave number λ, and Knudsen number Kn on pressure drop of microtubes for slip flow

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Figure 4

Effect of relative roughness ε and wave number λ on pressure drop of microtubes for continuum flow

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Figure 5

Effect of relative roughness ε and wave number λ on pressure drop of microtubes for continuum flow

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Figure 1

An axial sinusoidal wave rough microtube

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