Thermal Analysis of the Transient Temperatures Arising at the Contact Spots of Two Sliding Surfaces

[+] Author and Article Information
Jen Fin Lin1

Department of Mechanical Engineering,  National Cheng Kung University, Tainan City, 701, Taiwan, ROCjflin@mail.ncku.edu.tw

Jung Ching Chung, Jeng Wei Chen

Department of Mechanical Engineering,  National Cheng Kung University, Tainan City, 701, Taiwan, ROC

Ta Chuan Liu

Engine Engineering Department, Industry Research Laboratories, Industrial Technology Research Institute, Hsinchu, 1040, Taiwan, ROC


Corresponding author. Telephone: +886-6-2757575; Fax: +886-6-2352973.

J. Tribol 127(4), 694-704 (May 26, 2005) (11 pages) doi:10.1115/1.2000983 History: Received July 22, 2004; Revised May 26, 2005

The three-dimensional hyperbolic heat conduction equation is solved to obtain the analytical solution of the temperature rise at the contact area between an asperity and a moving smooth flat. The present analyses can provide an efficient method to avoid the problem of being difficult to give the correct boundary conditions for the frictional heat conduction at an asperity. The mean contact area of an asperity which is needed in the heat transfer analysis is here obtained by a new fractal model. This fractal model is established from the findings of the size distribution functions developed for surface asperities operating at the elastic, elastoplastic and fully plastic regimes. The expression of the temperature rise parameter Tf (T: Temperature rise, f: friction coefficient) is thus derived without specifying the deformation style of a contact load. It can be applied to predict the Tf variations due to the continuous generations of the frictional heat flow rate in a period of time. The combination of a small fractal dimension and a large topothesy of a surface is apt to raise the contact load, and thus resulting in a large Tf value. A significant difference in the behavior exhibited in the parameters of temperature rise and temperature rise gradient is present between the Fourier and hyperbolic heat conductions; Fluctuations in the thermal parameters are exhibited only when the specimen material has a large value of the relaxation time parameter.

Copyright © 2005 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Schematic diagram for the contact of rough surfaces

Grahic Jump Location
Figure 2

Schematic diagram of three time parameters

Grahic Jump Location
Figure 3

Variations of T∕f with time for (a) the diamond and steel materials having the surface asperities with two topothesies, (b) the steel material having the surface asperities with three fractal dimensions

Grahic Jump Location
Figure 4

Variations of the dimensionless total loads evaluated at different D and G values with the dimensionless separation. The specimen material is diamond

Grahic Jump Location
Figure 5

Variations of T∕f with the dimensionless total load. They are evaluated at different D and G values for diamond and steel

Grahic Jump Location
Figure 6

The effect of sliding velocity on T∕f

Grahic Jump Location
Figure 7

Variations of (a) T∕f, (b) −∇T∕f with time for the hyperbolic and Fourier heat conductions, and (c) −K∇T∕f with time for the hyperbolic heat conduction in the diamond and steel materials

Grahic Jump Location
Figure 8

Variations of (a) T∕f, (b) −∇T∕f, and (c) −K∇T∕f with time for the hyperbolic and Fourier heat conductions in the glass material

Grahic Jump Location
Figure 9

Variations of T∕f with time for the diamond material evaluated at three dimensionless separations. The constant values of T∕f are obtained from Archard’s model developed for the steady heat transfer




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