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Thermal Contact Resistance – Thermal Contact Conductance

Thermal Contact Resistance - Thermal Contact ConductanceIn thermal engineering, the thermal contact conductance [W/m2.K] or thermal contact resistance [m2.K/W] represents the heat conduction between two solid bodies. When components are bolted or otherwise pressed together, a knowledge of the thermal performance of such joints is also needed. The temperature drop across the interface between materials may be appreciable in these composite systems. This temperature drop is characterized by the thermal contact conductance coefficient, hc, which indicates the thermal conductivity, or ability to conduct heat, between two bodies in contact. While extensive databases exist on the thermal properties of bulk materials, similar databases for pressed contacts do not.

The inverse of this property is termed thermal contact resistance.

The contact resistance depends on the surface roughness greatly, and the pressure holding the two surfaces together also influences the contact resistance. Thermal contact resistance decreases with decreasing surface roughness and increasing interface pressure. This is attributed to the fact that the contact surface between the bodies grows as the contact pressure grows. When two such surfaces are pressed against each other, the peaks will form good material contact, but the valleys will form voids filled with air. These voids filled with air act as insulation because of the low thermal conductivity of air. The limited number and size of the contact spots result in an actual contact area that is significantly smaller than the apparent contact area. In the case of metallic composite material, which is placed in a vacuum, thermal conduction through the contact spots is the primary mode of heat transfer. The contact resistance is generally greater than when the composite material is in the presence of air or other fluid. Moreover, thermal contact resistance is significant and may dominate for good heat conductors such as metals but can be neglected for poor heat conductors such as insulators.

For example:

  • The thermal contact conductance for aluminum plates with a surface roughness of 10 μm placed in the air with the interface pressure of 1 atm is hc = 3640 W/m2.K
  • The thermal contact conductance for aluminum plates with a surface roughness of 10 μm placed in helium with the interface pressure of 1 atm is hc = 9520 W/m2.K
  • The thermal contact conductance for stainless steel plates with a surface roughness of 2.5 μm placed in the air with the interface pressure of 1 MPa is about hc = 3000 W/m2.K

The thermal contact resistance can be minimized by applying a thermally conducting liquid called a thermal grease such as CPU grease on the surfaces before they are pressed against each other. The main role of thermal grease is to eliminate air gaps or spaces (which act as a thermal insulator) from the interface area to maximize heat transfer. The thermal conductivity of the interstitial material and its pressure are the two properties governing its influence on contact conductance.

Special Reference: Madhusudana, Chakravarti V., Thermal Contact Conductance. Springer International Publishing, 2014. ISBN: 978-3-319-01276-6.

Heat Transfer:
  1. Fundamentals of Heat and Mass Transfer, 7th Edition. Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera. John Wiley & Sons, Incorporated, 2011. ISBN: 9781118137253.
  2. Heat and Mass Transfer. Yunus A. Cengel. McGraw-Hill Education, 2011. ISBN: 9780071077866.
  3. Fundamentals of Heat and Mass Transfer. C. P. Kothandaraman. New Age International, 2006, ISBN: 9788122417722.
  4. U.S. Department of Energy, Thermodynamics, Heat Transfer and Fluid Flow. DOE Fundamentals Handbook, Volume 2 of 3. May 2016.

Nuclear and Reactor Physics:

  1. J. R. Lamarsh, Introduction to Nuclear Reactor Theory, 2nd ed., Addison-Wesley, Reading, MA (1983).
  2. J. R. Lamarsh, A. J. Baratta, Introduction to Nuclear Engineering, 3d ed., Prentice-Hall, 2001, ISBN: 0-201-82498-1.
  3. W. M. Stacey, Nuclear Reactor Physics, John Wiley & Sons, 2001, ISBN: 0- 471-39127-1.
  4. Glasstone, Sesonske. Nuclear Reactor Engineering: Reactor Systems Engineering, Springer; 4th edition, 1994, ISBN: 978-0412985317
  5. W.S.C. Williams. Nuclear and Particle Physics. Clarendon Press; 1 edition, 1991, ISBN: 978-0198520467
  6. G.R.Keepin. Physics of Nuclear Kinetics. Addison-Wesley Pub. Co; 1st edition, 1965
  7. Robert Reed Burn, Introduction to Nuclear Reactor Operation, 1988.
  8. U.S. Department of Energy, Nuclear Physics and Reactor Theory. DOE Fundamentals Handbook, Volume 1 and 2. January 1993.
  9. Paul Reuss, Neutron Physics. EDP Sciences, 2008. ISBN: 978-2759800414.

Advanced Reactor Physics:

  1. K. O. Ott, W. A. Bezella, Introductory Nuclear Reactor Statics, American Nuclear Society, Revised edition (1989), 1989, ISBN: 0-894-48033-2.
  2. K. O. Ott, R. J. Neuhold, Introductory Nuclear Reactor Dynamics, American Nuclear Society, 1985, ISBN: 0-894-48029-4.
  3. D. L. Hetrick, Dynamics of Nuclear Reactors, American Nuclear Society, 1993, ISBN: 0-894-48453-2. 
  4. E. E. Lewis, W. F. Miller, Computational Methods of Neutron Transport, American Nuclear Society, 1993, ISBN: 0-894-48452-4.

See above:

Thermal Resistivity