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.
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ASME 2003 1st International Conference on Microchannels and Minichannels
April 24–25, 2003
Rochester, New York, USA
Conference Sponsors:
- Nanotechnology Institute
ISBN:
0-7918-3667-3
PROCEEDINGS PAPER
Multiplicity and Stability of Forced Convective Heat Transfer in Microchannels
Liqiu Wang,
Liqiu Wang
University of Hong Kong, Hong Kong, P. R. China
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Tianliang Yang
Tianliang Yang
University of Kentucky, Lexington, KY
Search for other works by this author on:
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
Published Online:
February 24, 2009
Citation
Wang, L, & Yang, T. "Multiplicity and Stability of Forced Convective Heat Transfer in Microchannels." Proceedings of the ASME 2003 1st International Conference on Microchannels and Minichannels. 1st International Conference on Microchannels and Minichannels. Rochester, New York, USA. April 24–25, 2003. pp. 281-289. ASME. https://doi.org/10.1115/ICMM2003-1031
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