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Mathematical Model for Fluid Flow in Artificially Roughened Microchannels

[+] Author Affiliations
Rebecca N. Wagner, Satish G. Kandlikar

Rochester Institute of Technology, Rochester, NY

Paper No. IMECE2009-11039, pp. 875-882; 8 pages
doi:10.1115/IMECE2009-11039
From:
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 9: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A, B and C
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4382-6 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME

abstract

Two dimensional lubrication approximation is applied to the analysis of fluid flow in a rectangular microchannel with structured roughness. Each of two major walls is composed of designed microscale transverse ribs, modeled by two-dimensional functions. A pressure drop correlation is formed as a direct function of these surface equations and the resultant velocity profile is incorporated into boundary layer analysis. Friction factors are calculated based on the obtained pressure drop values for comparison with conventional theory. The method presented here is consistent with conventional correlations in the case of hydraulically smooth channels, and is a stronger function of structured roughness geometry than the existing methods.

Copyright © 2009 by ASME

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