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RESEARCH PAPER

Contact Resistance Measurement and Its Effect on the Thermal Conductivity of Packed Sphere Systems

[+] Author and Article Information
W. W. M. Siu, S. H.-K. Lee

  Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

J. Heat Transfer 126(6), 886-895 (Jan 26, 2005) (10 pages) doi:10.1115/1.1795231 History: Received May 08, 2003; Revised May 24, 2004; Online January 26, 2005
Copyright © 2004 by ASME
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References

Siu,  W. W. M., and Lee,  S. H.-K., 2004, “Transient Temperature Computation of Spheres in Three-Dimensional Random Packings,” Int. J. Heat Mass Transfer, 47(5), pp. 887–898.
Kaviany, M., 1995, Principle of Heat Transfer in Porous Media, Springer, New York.
Wu,  A. K. C., and Lee,  S. H.-K., 2000, “Sphere Packing Algrithm for Heat Transfer Studies,” Numer. Heat Transfer, Part A, 37(6), pp. 631–652.
Snaith,  B., Probert,  S. D., and O’Callaghan,  P. W., 1986, “Thermal Resistances of Pressed Contacts,” Appl. Energy, 22, pp. 31–84.
Peterson,  G. P., and Fletcher,  L. S., 1988, “Thermal Contact Conductance of Packed Beds in Contact With a Flat Surface,” ASME J. Heat Transfer, 110, pp. 38–41.
Kamiuto,  K., and Saitoh,  S., 1995, “Simultaneous Heat and Mass Transfer in Packed Bed Catalytic Reactors,” J. Thermophys. Heat Transfer, 9(3), pp. 524–530.
Fisher,  N. J., and Yovanovich,  M. M., 1989, “Thermal Constriction Resistance of Sphere/Layer Flat Contacts: Theory and Experiment,” ASME J. Heat Transfer, 111, pp. 249–256.
Sridhar, M. R., and Yovanovich, M. M., 1993, “Elastoplastic Constriction Resistance of Sphere/Flat Contacts: Theory and Experiment,” ASME HTD-Vol. 263, Enhanced Cooling Techniques for Electronics Applications, ASME, New York, pp. 123–134.
Lambert,  M. A., and Fletcher,  L. S., 1997, “Thermal Contact Conductance of Spherical Rough Metals,” ASME J. Heat Transfer, 119, pp. 684–690.
Nishino,  K., Yamashita,  S., and Torii,  K., 1995, “Thermal Contact Conductance Under Low Applied Load in a Vacuum Environment,” Exp. Therm. Fluid Sci., 10, pp. 258–271.
Madhusudana, C. V., 1995, Thermal Contact Conductance, Springer, New York.
Timoshenko, S., and Goodier, J. N., 1951, Theory of Elasticity, McGraw-Hill, New York.
Maccni, R. R., 1988, “Characteristics Crucial to the Application of Engineering Plastics,” Engineering Materials Handbook—Vol. 2 Engineering Plastics, ASM, Metals Park, OH.
Beckwith, T. G., Buck, N. L., and Maragoni, R. D., 1982, Mechanical Measurement, Addison Wesley, Reading, MA.
Lambert, M. A., Marotta, E. E., and Fletcher, L. S., 1993, “The Thermal Contact Conductance of Hard and Soft Coat Anodized Aluminum,” ASME HTD-Vol. 263, Enhanced Cooling Technique for Electronics Applications, ASME, New York, pp. 135–141.

Figures

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Schematic showing the temperature jump due to imperfect contact between two surfaces
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Experimental setup shown in a) photo and b) schematic
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Illustration showing a) picture of the piston, b) the location of the thermocouple placement positions, and c) the piston
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Schematic showing the placement of the inner and outer shells
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a) Schematic and b) photo of the sphere-shell utilized to insulate the sphere
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Schematic of a) the upper Vee-block and b) the lower Vee-block
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Plot of the compression deformation for a) 12.19 mm diam aluminum sphere, b) 11.11 mm diam brass sphere, and c) 11.11 mm diam chrome steel sphere
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Temperature measurements showing uniform radial distribution in the a) cool piston and b) hot piston
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Comparison of a) the back-calculated thermal conductivity of aluminum against the range of expected range 155–185 W/m-K between the dotted line and b) the measured thermal resistance value between aluminum surfaces
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Contact resistance measurements for a) aluminum, b) brass, and c) chrome-steel spheres
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Correlation of the contact resistance data for a large number of sphere types and sizes
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Comparison of the measured and predicted transient response of a sphere in contacts with hot and cool pistons
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Plot showing a) the ratio of contact resistance to the total resistance against contact radius for spheres in a Face-center Cubic arrangement and b) the effect of neglecting contact resistance in calculating the effective conductivity for increasing sphere conductivity

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