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Research Papers: Flows in Complex Systems

Effects of Corrugated Roughness on Developed Laminar Flow in Microtubes

[+] Author and Article Information
Zhipeng Duan, Y. S. Muzychka

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

J. Fluids Eng 130(3), 031102 (Mar 03, 2008) (7 pages) doi:10.1115/1.2842148 History: Received October 19, 2006; Revised November 18, 2007; Published March 03, 2008

The effects of corrugated surface roughness on developed laminar flow in microtubes are investigated. The momentum equation is solved using a perturbation method with slip at the boundary. Novel 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 (15–50%) 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 © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 2

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

Grahic Jump Location
Figure 3

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

Grahic Jump Location
Figure 4

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

Grahic Jump Location
Figure 1

A sinusoidal wave rough microtube

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