Design Optimization and Validation of Single-Phase Rectangular Micro Channels With Axial Non-Uniform Width

A simple model for the simulation of the hydraulic behaviour and heat transfer of a single micro channel is formulated, assessed and optimized. The model is based on a thermally developing flow regime. The results of the optimization show that a reduction of 7.8% in thermal resistance can be achieved using non-uniform channels instead of uniform channels. Furthermore, the assumptions of the simple model are validated by comparing the results with a more accurate, numerical model. It is shown that the simple model is sufficiently accurate to simulate the hydraulic and thermal behaviour of micro channels as such. However, the effective improvement of channel width optimization cannot accurately be determined by the analytical models.Copyright © 2010 by ASME

[1]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[2]  M. Baelmans,et al.  Optimal channel width distribution of single-phase microchannel heat sinks , 2009, 2009 15th International Workshop on Thermal Investigations of ICs and Systems.

[3]  S. Kim,et al.  Numerical optimization of the thermal performance of a microchannel heat sink , 2002 .

[4]  S. Kim,et al.  Closed-form correlations for thermal optimization of microchannels , 2007 .

[5]  Stuart W. Churchill,et al.  A general expression for the correlation of rates of transfer and other phenomena , 1972 .

[6]  Kwang‐Yong Kim,et al.  Optimization of a microchannel heat sink with temperature dependent fluid properties , 2008 .

[7]  R. Phillips,et al.  Microchannel heat sinks , 1988 .

[8]  S. Garimella,et al.  Thermally Developing Flow and Heat Transfer in Rectangular Microchannels of Different Aspect Ratios , 2006 .

[9]  K. Torrance,et al.  Constrained optimal duct shapes for conjugate laminar forced convection , 2000 .

[10]  M. Yovanovich,et al.  Modeling Nusselt numbers for thermally developing laminar flow in non-circular ducts , 1998 .

[11]  A. Bejan,et al.  The optimal spacing of parallel plates cooled by forced convection , 1992 .

[12]  S. Garimella,et al.  Investigation of heat transfer in rectangular microchannels , 2005 .

[13]  M. M. Yovanovich,et al.  Modeling friction factors in non-circular ducts for developing laminar flow , 1998 .

[14]  Haim H. Bau,et al.  Optimization of conduits' shape in micro heat exchangers , 1998 .

[15]  Optimum thermal design of microchannel heat sinks by the simulated annealing method , 2008 .

[16]  R. Pease,et al.  High-performance heat sinking for VLSI , 1981, IEEE Electron Device Letters.

[17]  Jay N. Zemel,et al.  Gas flow in micro-channels , 1995, Journal of Fluid Mechanics.

[18]  W. Rohsenow,et al.  Handbook of heat transfer applications , 1985 .

[19]  H. Bau,et al.  Micro Heat Exchangers Consisting of Pin Arrays , 1997 .