Skip to main content
SpringerLink
Log in

Solid Spot Thermal Conductance of a Joint

  • Chapter
Thermal Contact Conductance

Part of the book series: Mechanical Engineering Series ((MES))

Abstract

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:

$$ R = F/(4a{k_1}) + F/(4a{k_2}) $$
((3.1))
$$ = F/(2ak) $$
((3.2))

where F is the constriction alleviation factor defined in chapter 2 and

$$ k = 2{k_1}{k_2}/({k_1} + k{}_2) $$
((3.3))

is the harmonic mean of the conductivities.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Antonetti, V.W., Whittle, T.D., and Simons, R.E. (1993). An Approximate Thermal Contact Conductance Correlation. ASME, Electronic Packaging, 115:131–134.

    Article  Google Scholar 

  • Bush, A.W., and Gibson, R.D. (1979). A Theoretical Investigation of Thermal Contact Conductance. Appl Energy, 5:11–22.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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 

  • 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 

  • Greenwood, J.A. (1967). The Area of Contact Between Rough Surfaces and Flats. Trans ASME, J Lub Technol, 89:81–91.

    Google Scholar 

  • Greenwood, J.A., and Tripp, J.H. (1970). The Contact of Two Nominally Flat Rough Surfaces. Proc I Mech Eng, 185:625–633.

    Article  Google Scholar 

  • Greenwood, J.A., and Williamson, J.B.P. (1966). Contact of Nominally Flat Surfaces. Proc R Soc (London), Ser. A, 295:299–319.

    Article  ADS  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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 

  • 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 

  • Mikic, B.B. (1974). Thermal Contact Conductance: Theoretical Considerations. Int J Heat Mass Transfer, 17:205–214.

    Article  Google Scholar 

  • Mikic, B.B., and Rohsenow, W.M. (1966). Thermal Contact Resistance. Mech Eng Dept Report No. DSR 74542–41, MIT, Cambridge, MA.

    Google Scholar 

  • Popov, V.M. (1976). Concerning the Problem of Investigating Thermal Contact Resistance. Power Eng (NY), 14:158–163.

    Google Scholar 

  • Pullen, J., and Williamson, J.B.P. (1972). On the Plastic Contact of Rough Surfaces. Proc R Soc (London), Ser. A., 327:159–173.

    Article  ADS  Google Scholar 

  • 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 

  • Tabor, D. (1951). The Hardness of Metals. Oxford University Press, London.

    Google Scholar 

  • Tabor, D. (1975). A Simplfied Account of Surface Topography and the Contact Between Solids. Wear, 32(2):269–271.

    Article  MathSciNet  Google Scholar 

  • 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 

  • 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 

  • 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 

  • Timoshenko, S.P., and Goodier, J.N. (1970). Theory of Elasticity, 3rd ed. McGraw-Hill, New York.

    MATH  Google Scholar 

  • 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 

  • 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 

  • 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.

    Article  ADS  Google Scholar 

  • Yovanovich, M.M. (1969). Overall Constriction Resistance Between Contacting Rough, Wavy Surfaces. Int J Heat Mass Transfer, 12:1517–1520.

    Article  Google Scholar 

  • Yovanovich, M.M. (1981). New Contact and Gap Conductance Correlations for Conforming Rough Surfaces. AIAA Paper 81K-1164, 6 pp.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, NSW, 2052, Australia

    C. V. Madhusudana

Authors
  1. C. V. Madhusudana
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Madhusudana, C.V. (1996). Solid Spot Thermal Conductance of a Joint. In: Thermal Contact Conductance. Mechanical Engineering Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3978-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-3978-9_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8457-4

  • Online ISBN: 978-1-4612-3978-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation