Transient Conjugate Heat-Transfer Model for Circular Tubes Inside a Rectangular Substrate

The transient heat transfer for laminar flow inside a circular microtube, embedded in a rectangular substrate, during power startup has been numerically investigated using the finite element method. Silicon and silicon carbide were the substrates used, and water and FC-72 were the working fluids. Equations governing the conservation of mass, momentum, and energy were solved in the fluid region. Within the solid wafer, the heat-conduction equation was solved. A thorough investigation for velocity and temperature distributions for different substrates and coolants was performed by varying geometrical dimensions. The Prandtl number, thermal conductivity ratio, and diameter ranges were 6.78-12.68, 27-2658, and 300-1000 pm, respectively

[1]  K. Toh,et al.  Numerical computation of fluid flow and heat transfer in microchannels , 2002 .

[2]  R. Viskanta,et al.  Three-dimensional conjugate heat transfer in the microchannel heat sink for electronic packaging , 2000 .

[3]  F. Topin,et al.  Transient Method for the Liquid Laminar Flow Friction Factor in Microtubes , 2003 .

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

[5]  Unsteady characteristics of a thermal microsystem , 2000 .

[6]  J. R. Rujano,et al.  Transient Response of Microchannel Heat Sinks in a Silicon Wafer , 1997 .

[7]  F. Gerner,et al.  Developing convective heat transfer in deep rectangular microchannels , 1999 .

[8]  G. Karimi,et al.  Transient electro-osmotic pumping in rectangular microchannels , 2003, Proceedings International Conference on MEMS, NANO and Smart Systems.

[9]  K. N. Seetharamu,et al.  Analysis of microchannel heat exchangers using FEM , 2001 .

[10]  V. Gnielinski.  New equations for heat and mass transfer in turbulent pipe and channel flow , 1976 .

[11]  A. Bejan.  Convection Heat Transfer , 1984 .

[12]  Björn Palm,et al.  Experimental investigation of single-phase convective heat transfer in circular microchannels , 2004 .

[13]  Gian Piero Celata,et al.  Water Single-Phase Fluid Flow and Heat Transfer in Capillary Tubes , 2003 .

[14]  Said I. Abdel-Khalik,et al.  An experimental investigation of single-phase forced convection in microchannels , 1998 .

[15]  D. Tuckerman.  Heat-transfer microstructures for integrated circuits , 1984 .

[16]  R. Warrington,et al.  LAMINAR FORCED CONVECTION IN A CIRCULAR TUBE WITH CONSTANT HEAT FLUX AND SLIP FLOW , 1997 .

[17]  W. Little,et al.  Measurement of the heat transfer characteristics of gas flow in fine channel heat exchangers used for microminiature refrigerators , 1984 .