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Multiplicity and Stability of Forced Convective Heat Transfer in Microchannels

[+] Author Affiliations
Liqiu Wang

University of Hong Kong, Hong Kong, P. R. China

Tianliang Yang

University of Kentucky, Lexington, KY

Paper No. ICMM2003-1031, pp. 281-289; 9 pages
doi:10.1115/ICMM2003-1031
From:
  • ASME 2003 1st International Conference on Microchannels and Minichannels
  • 1st International Conference on Microchannels and Minichannels
  • Rochester, New York, USA, April 24–25, 2003
  • Conference Sponsors: Nanotechnology Institute
  • ISBN: 0-7918-3667-3
  • Copyright © 2003 by ASME

abstract

A numerical study is made on the fully-developed bifurcation structure and stability of the forced convection in a curved microchannel of square cross-section. Two symmetric and four asymmetric solution branches are found. Thus a rich solution structure is found with up to eleven solutions over certain ranges of governing parameters. This multiplicity is at least partially responsible for the large differences in the reported friction factors and heat transfer coefficients in the literature. Dynamic responses of the multiple solutions to finite random disturbances are examined by the direct transient computation. It is found that possible physically realizable fully-developed flows evolve, as the Dean number (or Reynolds number) increases, from a stable steady 2-cell state at lower Dean number to a temporal periodic oscillation state, another stable steady 2-cell state, a temporal intermittent oscillation, and a chaotic temporal oscillation.

Copyright © 2003 by ASME

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