The thermal contact resistance (TCR) in a vacuum is studied. The TCR problem is divided into three different parts: geometrical, mechanical, and thermal. Each problem includes a macro- and microscale subproblem; existing theories and models for each part are reviewed. Empirical correlations for microhardness, and the equivalent (sum) rough surface approximation, are discussed. Suggested correlations for estimating the mean absolute surface slope are summarized and compared with experimental data. The most common assumptions of existing thermal analyses are summarized. As basic elements of thermal analyses, spreading resistance of a circular heat source on a half-space and flux tube are reviewed; also existing flux tube correlations are compared. More than 400 TCR data points collected by different researchers during the last are grouped into two limiting cases: conforming rough and elastoconstriction. Existing TCR models are reviewed and compared with the experimental data at these two limits. It is shown that the existing theoretical models do not cover both of the above-mentioned limiting cases. This review article cites 58 references.
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January 2006
Review Articles
Review of Thermal Joint Resistance Models for Nonconforming Rough Surfaces
M. Bahrami,
M. Bahrami
Post-doctoral Fellow
Mem. ASME
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON N2L 3G1, Canada
Majid Bahrami is a post-doctoral fellow at the Microelectronics Heat Transfer Laboratory MHTL, Department of Mechanical Engineering, University of Waterloo, Ontario, Canada. He received a B.Sc. degree in mechanical engineering from Sharif University of Technology, Tehran, Iran in 1992. He followed his graduate studies in Amir Kabir University of Technology, Tehran, Iran, and received an M.A.Sc. in 1995. He received a Ph.D. from the Department of Mechanical Engineering at the University of Waterloo. His doctoral research, “Modeling of Thermal Joint Resistance of Rough Sphere-Flat Contacts in a Vacuum,” includes analytical, experimental, and numerical modeling of several macro- and micro-scale physical phenomena in heat transfer and contact mechanics with an emphasis on microelectronics cooling and thermal management. He has authored 20 refereed journal and conference scientific papers.
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J. R. Culham,
J. R. Culham
Associate Professor, Director
Mem. ASME
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON N2L 3G1, Canada
M. Michael Yovanovich is a Distinguished Professor Emiritus of Mechanical Engineering, University of Waterloo, Waterloo, ON, Canada, and is the Principal Scientific Advisor to the Microelectronics Heat Transfer Laboratory (MHTL). His research in the field of thermal modeling includes analysis of complex heat conduction problems, natural and forced convection heat transfer from complex geometries, and contact resistance theory and applications. He has published more than 300 journal and conference papers and numerous technical reports. He has been a consultant to several North American nuclear, aerospace, and microelectronics industries and national laboratories.
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M. M. Yananovich,
M. M. Yananovich
Distinguished Professor Emeritus
Fellow ASME
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON N2L 3G1, Canada
J. Richard Culham is an Associate Professor of Mechanical Engineering at the University of Waterloo, Canada. He is the director and a founding member of the Microelectronics Heat Transfer Laboratory. Research interests include modeling and characterization of contacting interfaces and thermal interface materials, development of compact analytical and empirical models at micro- and nano-scales, natural and forced convection cooling, optimization of electronics systems using entropy generation minimization and the characterization of thermophysical properties in electronics and opto-electronics materials. Professor Culham has more than 100 publications in refereed journals and conferences in addition to numerous technical reports related to microelectronics cooling. He is a member of ASME, IEEE, and the Professional Engineers of Ontario.
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G. E. Schneider
G. E. Schneider
Professor
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON N2L 3G1, Canada
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M. Bahrami
Post-doctoral Fellow
Majid Bahrami is a post-doctoral fellow at the Microelectronics Heat Transfer Laboratory MHTL, Department of Mechanical Engineering, University of Waterloo, Ontario, Canada. He received a B.Sc. degree in mechanical engineering from Sharif University of Technology, Tehran, Iran in 1992. He followed his graduate studies in Amir Kabir University of Technology, Tehran, Iran, and received an M.A.Sc. in 1995. He received a Ph.D. from the Department of Mechanical Engineering at the University of Waterloo. His doctoral research, “Modeling of Thermal Joint Resistance of Rough Sphere-Flat Contacts in a Vacuum,” includes analytical, experimental, and numerical modeling of several macro- and micro-scale physical phenomena in heat transfer and contact mechanics with an emphasis on microelectronics cooling and thermal management. He has authored 20 refereed journal and conference scientific papers.
Mem. ASME
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON N2L 3G1, Canada
J. R. Culham
Associate Professor, Director
M. Michael Yovanovich is a Distinguished Professor Emiritus of Mechanical Engineering, University of Waterloo, Waterloo, ON, Canada, and is the Principal Scientific Advisor to the Microelectronics Heat Transfer Laboratory (MHTL). His research in the field of thermal modeling includes analysis of complex heat conduction problems, natural and forced convection heat transfer from complex geometries, and contact resistance theory and applications. He has published more than 300 journal and conference papers and numerous technical reports. He has been a consultant to several North American nuclear, aerospace, and microelectronics industries and national laboratories.
Mem. ASME
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON N2L 3G1, Canada
M. M. Yananovich
Distinguished Professor Emeritus
J. Richard Culham is an Associate Professor of Mechanical Engineering at the University of Waterloo, Canada. He is the director and a founding member of the Microelectronics Heat Transfer Laboratory. Research interests include modeling and characterization of contacting interfaces and thermal interface materials, development of compact analytical and empirical models at micro- and nano-scales, natural and forced convection cooling, optimization of electronics systems using entropy generation minimization and the characterization of thermophysical properties in electronics and opto-electronics materials. Professor Culham has more than 100 publications in refereed journals and conferences in addition to numerous technical reports related to microelectronics cooling. He is a member of ASME, IEEE, and the Professional Engineers of Ontario.
Fellow ASME
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON N2L 3G1, Canada
G. E. Schneider
Professor
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering,
University of Waterloo
, Waterloo, ON N2L 3G1, CanadaAppl. Mech. Rev. Jan 2006, 59(1): 1-12 (12 pages)
Published Online: January 1, 2006
Citation
Bahrami, M., Culham, J. R., Yananovich, M. M., and Schneider, G. E. (January 1, 2006). "Review of Thermal Joint Resistance Models for Nonconforming Rough Surfaces." ASME. Appl. Mech. Rev. January 2006; 59(1): 1–12. https://doi.org/10.1115/1.2110231
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