Solid Spot Thermal Conductance of a Joint

  • C. V. Madhusudana
Part of the Mechanical Engineering Series book series (MES)


When both sides of the contact spot are considered (Fig. 3.1), the total resistance is simply the sum of the resistances for each side of the contact. Therefore, if k 1 and k 2 are the thermal conductivities of the two solids in contact, then the resistance associated with a single contact spot is given by:
$$ R = F/(4a{k_1}) + F/(4a{k_2}) $$
$$ = F/(2ak) $$
where F is the constriction alleviation factor defined in chapter 2 and
$$ k = 2{k_1}{k_2}/({k_1} + k{}_2) $$
is the harmonic mean of the conductivities.


Contact Pressure Contact Resistance Surface Profile Thermal Contact Plasticity Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Antonetti, V.W., Whittle, T.D., and Simons, R.E. (1993). An Approximate Thermal Contact Conductance Correlation. ASME, Electronic Packaging, 115:131–134.CrossRefGoogle Scholar
  2. Bush, A.W., and Gibson, R.D. (1979). A Theoretical Investigation of Thermal Contact Conductance. Appl Energy, 5:11–22.CrossRefGoogle Scholar
  3. Chang, W.R., Etsion, I., and Bogy, D.B. (1987). An Elastic-Plastic Model for the Contact of Rough Surfaces. J Tribol, 109:257–263.CrossRefGoogle Scholar
  4. Clausing, A.M., and Chao, B.T. (1965). Thermal Contact Resistance in a Vacuum Environment. Trans ASME, J Heat Transfer, 87:243–251.Google Scholar
  5. Fletcher, L.S., and Gyorog, D.A. (1971). Prediction of Thermal Contact Conductance Between Similar Metal Surfaces. Prog Astro Aero, 24:273–288.Google Scholar
  6. Greenwood, J.A. (1967). The Area of Contact Between Rough Surfaces and Flats. Trans ASME, J Lub Technol, 89:81–91.Google Scholar
  7. Greenwood, J.A., and Tripp, J.H. (1970). The Contact of Two Nominally Flat Rough Surfaces. Proc I Mech Eng, 185:625–633.CrossRefGoogle Scholar
  8. Greenwood, J.A., and Williamson, J.B.P. (1966). Contact of Nominally Flat Surfaces. Proc R Soc (London), Ser. A, 295:299–319.ADSCrossRefGoogle Scholar
  9. Kimura, Y. (1970). Estimation of the Number and the Mean Area of Real Contact Points on the Basis of Surface Profiles. Wear 15:47–55.CrossRefGoogle Scholar
  10. Laming, L.C. (1961). Thermal Conductance of Machined Metal Contacts. Proc Int Conf Devel Heat Transfer. American Society of Mechanical Engineers, New York, pp. 65–76.Google Scholar
  11. Mal’kov, V.A. (1970). Thermal Contact Resistance of Machined Metal Surfaces in a Vacuum Environment. Heat Transfer—Soviet Res, 2(4):24–33.Google Scholar
  12. Mikic, B.B. (1974). Thermal Contact Conductance: Theoretical Considerations. Int J Heat Mass Transfer, 17:205–214.CrossRefGoogle Scholar
  13. Mikic, B.B., and Rohsenow, W.M. (1966). Thermal Contact Resistance. Mech Eng Dept Report No. DSR 74542–41, MIT, Cambridge, MA.Google Scholar
  14. Popov, V.M. (1976). Concerning the Problem of Investigating Thermal Contact Resistance. Power Eng (NY), 14:158–163.Google Scholar
  15. Pullen, J., and Williamson, J.B.P. (1972). On the Plastic Contact of Rough Surfaces. Proc R Soc (London), Ser. A., 327:159–173.ADSCrossRefGoogle Scholar
  16. Roca, R.T., and Mikic, B.B. (1971). Thermal Contact Resistance in a Non-Ideal Joint. Mech Eng Dept Report No DSR 71821–77, MIT, Cambridge, MA.Google Scholar
  17. Tabor, D. (1951). The Hardness of Metals. Oxford University Press, London.Google Scholar
  18. Tabor, D. (1975). A Simplfied Account of Surface Topography and the Contact Between Solids. Wear, 32(2):269–271.MathSciNetCrossRefGoogle Scholar
  19. Thomas, T.R., and King, M. (1977). Surface Topography in Engineering: A State of the Art Review and Bibliography. BHRA Fluid Eng Ser, Vol. 3, 130 pp.Google Scholar
  20. Thomas, T.R., and Sayles, R.S. (1975). Random Process Analysis of the Effect of Waviness on Thermal Contact Resistance. Prog Astro Aero, 39:3–20.Google Scholar
  21. Tien, CL. (1968). A Correlation for Thermal Contact Conductance of Nominally-Flat Surfaces in Vacuum. Proc. 7th Conf on Thermal Conductivity, U.S. National Bureau of Standards, Gaithersburg, MD.Google Scholar
  22. Timoshenko, S.P., and Goodier, J.N. (1970). Theory of Elasticity, 3rd ed. McGraw-Hill, New York.MATHGoogle Scholar
  23. Tsukizoe, T., and Hisakado, T. (1965). On the Mechanism of Contact Between Metal Surfaces-The Penetrating Depth and the Average Clearance. Trans ASME, J Basic Eng, 87:666–674.Google Scholar
  24. Tsukizoe, T., and Hisakado, T. (1968). On the Mechanism of Contact Between Metal Surfaces. Part 2-The Real Area and the Number of Contact Points. Trans ASME, J Lub Technol., 90:81–88.Google Scholar
  25. Whitehouse, DJ., and Archard, J.F. (1970). The Properties of Random Surfaces of Significance in Their Contact. Proc R Soc (London), Ser. A., 316:97–121.ADSCrossRefGoogle Scholar
  26. Yovanovich, M.M. (1969). Overall Constriction Resistance Between Contacting Rough, Wavy Surfaces. Int J Heat Mass Transfer, 12:1517–1520.CrossRefGoogle Scholar
  27. Yovanovich, M.M. (1981). New Contact and Gap Conductance Correlations for Conforming Rough Surfaces. AIAA Paper 81K-1164, 6 pp.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1996

Authors and Affiliations

  • C. V. Madhusudana
    • 1
  1. 1.School of Mechanical and Manufacturing EngineeringUniversity of New South WalesSydneyAustralia

Personalised recommendations