Theory of Rolling Contact Heat Transfer

[+] Author and Article Information
A. Bejan

Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27706

J. Heat Transfer 111(2), 257-263 (May 01, 1989) (7 pages) doi:10.1115/1.3250672 History: Received November 30, 1987; Online October 20, 2009


This paper addresses the fundamentals of the phenomenon of steady heat transfer by rolling contact between two bodies at different temperatures. The contact region is modeled according to the classical Hertz theory, by which the bodies undergo elastic deformation and the contact area has the shape of an ellipse. In the first part of the study it is shown that when the two bodies make contact continuously over the elliptical area, the overall heat transfer rate is proportional to the square root of the Peclet number based on the ellipse semiaxis parallel to the tangential (rolling) velocity. In the same case the heat transfer rate increases as the square root of the normal force (F ) between the two bodies. The second part of the study treats the case when the rolling contact is made through a large number of asperities (contact sites) distributed over the elliptical contact area. The heat transfer rate is again proportional to the square root of the Peclet number. When the asperities are distributed randomly, the heat transfer rate increases as F 5/6 . In the case of regularly distributed asperities that undergo elastic deformation, the heat transfer rate is proportional to F 13/18 . The high Peclet number domain covered by this study is discussed in the closing section of the paper.

Copyright © 1989 by ASME
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In