A numerical optimization of a rectangular micro-channel has been performed. Navier-Stokes and energy equations for laminar flow and conjugate heat transfer are solved using a finite volume solver. Solutions are first carefully validated with available analytical and experimental results; the shape of the micro-channel is then optimized using surrogate method. Ratios of the micro-channel width to depth and the width of the fin to the depth are selected as design variables. Design points are selected through a four-level full factorial design. A single objective function thermal resistance, formulated using pumping power as a constraint, is optimized. Mass flow rate is adjusted by the constant pumping power constraint. Kriging method is applied to construct surrogate and the optimum point is searched by sequential quadratic programming.
- Nanotechnology Institute
Design Optimization of Micro-Channel for Micro Electronic Cooling
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Husain, A, & Kim, K. "Design Optimization of Micro-Channel for Micro Electronic Cooling." Proceedings of the ASME 2007 5th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 5th International Conference on Nanochannels, Microchannels, and Minichannels. Puebla, Mexico. June 18–20, 2007. pp. 201-207. ASME. https://doi.org/10.1115/ICNMM2007-30053
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