Research Papers: Mixed and Boundary Lubrication

Modeling Sliding Contact Temperatures, Including Effects of Surface Roughness and Convection

[+] Author and Article Information
F. E. Kennedy

Thayer School of Engineering,
Dartmouth College,
Hanover, NH 03755
e-mail: francis.kennedy@dartmouth.edu

X. Tian

CDW Corp.,
Vernon Hills, IL 60061
e-mail: tiansteveng@gmail.com

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received June 2, 2015; final manuscript received August 4, 2015; published online June 21, 2016. Assoc. Editor: George K. Nikas.

J. Tribol 138(4), 042101 (Jun 21, 2016) (9 pages) Paper No: TRIB-15-1180; doi: 10.1115/1.4032841 History: Received June 02, 2015; Revised August 04, 2015

The ability to predict contact surface temperatures in rolling/sliding contacting bodies is important if failure of tribological components is to be avoided. Many works on surface temperature analysis and prediction have been published over the past 75 years or so, but most of the analytical solutions that are readily available do not include such important factors as finite body geometry, surface roughness, or convective cooling. Approaches for addressing these deficiencies are presented in this paper. This paper builds on previous analytical work by the authors and others, and presents models that are based on experimental observations of contact temperatures and factors that affect them. It is shown that the total surface temperature rise above ambient temperature is the sum of nominal temperature rise and flash temperature rise. Models are developed for calculating nominal surface temperature rise for sliding bodies of finite size, including effects of both convection and conduction. Flash temperature models are developed for both single and multiple contacts, as would be found with rough surfaces. Methods are presented that are valid for a variety of geometries and kinematic operating conditions, and techniques are also presented for partitioning the frictional heat between the two contacting surfaces. Examples of the use of the methodology are presented, along with experimental verification of the predictions.

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Bowden, F. , and Tabor, D. , 1950, The Friction and Lubrication of Solids, Oxford University Press, Oxford, UK.
Kennedy, F. E. , 1984, “ Thermal and Thermomechanical Effects in Dry Sliding,” Wear, 100, pp. 453–476. [CrossRef]
Quinn, T. F. J. , and Winer, W. O. , 1985, “ The Thermal Aspects of Oxidational Wear,” Wear, 102, pp. 67–80. [CrossRef]
Blok, H. A. , 1937, “ Theoretical Study of Temperature Rise at Surfaces of Actual Contact Under Oiliness Lubricating Conditions,” General Discussion on Lubrication and Lubricants, pp. 222–235.
Jaeger, J. C. , 1942, “ Moving Sources of Heat and the Temperature of Sliding Contacts,” Proc. Roy. Soc. N.S.W., 76, pp. 203–224.
Ling, F. F. , and Saibel, E. , 1957/58, “ Thermal Aspects of Galling of Dry Metallic Surfaces in Sliding Contact,” Wear, 1(2), pp. 80–91. [CrossRef]
Archard, J. F. , 1958/59, “ The Temperature of Rubbing Surfaces,” Wear, 2(6), pp. 438–455. [CrossRef]
Ling, F. F. , 1973, Surface Mechanics, Wiley, New York.
Kennedy, F. E. , 1981, “ Surface Temperatures in Sliding Systems—A Finite Element Analysis,” ASME J. Lubr. Technol., 103, pp. 90–96.
Cowan, R. S. , and Winer, W. O. , 1992, “ Frictional Heating Calculations,” Friction, Lubrication and Wear Technology (Metals Handbook), Vol. 4, 10th ed., P. J. Blau , ed., ASM International, Materials Park, OH, pp. 39–44.
Bos, J. , and Moes, H. , 1995, “ Frictional Heating of Tribological Contacts,” ASME J. Tribol., 117(1), pp. 171–177. [CrossRef]
Hou, Z. B. , and Komanduri, R. , 2000, “ General Solutions for Stationary/Moving Plane Heat Source Problems in Manufacturing and Tribology,” Int. J. Heat Mass Transfer, 43(10), pp. 1679–1698. [CrossRef]
Kennedy, F. E. , 2001, “ Frictional Heating and Contact Temperatures,” Modern Tribology Handbook, B. Bhushan , ed., CRC Press, Boca Raton, FL, pp. 235–272.
Ling, F. F. , Lai, W. M. , and Lucca, D. A. , 2002, Fundamentals of Surface Mechanics, Springer, New York.
Bansal, D. M. , and Streator, J. L. , 2012 “ On Estimations of Maximum and Average Interface Temperature Rise in Sliding Elliptical Contacts,” Wear, 278, pp. 18–27. [CrossRef]
Tian, X. , and Kennedy, F. E. , 1993, “ Contact Surface Temperature Models for Finite Bodies in Dry and Boundary Lubricated Sliding,” ASME J. Tribol., 115(3), pp. 411–418. [CrossRef]
Barber, J. , 1970, “ The Conduction of Heat From Sliding Solids,” Int. J. Heat Mass Transfer, 13(5), pp. 857–869. [CrossRef]
Ashby, M. F. , Abulawi, J. , and Kong, H. S. , 1991, “ Temperature Maps for Frictional Heating in Dry Sliding,” Tribol. Trans., 34(4), pp. 577–587. [CrossRef]
Gecim, B. , and Winer, W. O. , 1984, “ Steady Temperature in a Rotating Cylinder Subject to Surface Heating and Convective Cooling,” ASME J. Tribol., 106(1), pp. 120–126. [CrossRef]
Tian, X. , and Kennedy, F. E. , 1995, “ Prediction and Measurement of Surface Temperature Rise at the Contact Interface for Oscillatory Sliding,” J. Eng. Tribol., 209, pp. 41–51.
Mansouri, M. , and Khonsari, M. M. , 2005, “ Surface Temperature in Oscillating Sliding Interfaces,” ASME J. Tribol., 127(1), pp. 1–9. [CrossRef]
Carslaw, H. S. , and Jaeger, J. C. , 1959, Conduction of Heat in Solids, 2nd ed., Clarendon Press, Oxford, UK.
Colin, F. , and Floquet, A. , 1986, “ Combination of Finite Element and Integral Transform Techniques in a Heat Conduction Quasi-Static Problem,” Int. J. Numer. Methods Eng., 23(1), pp. 13–26. [CrossRef]
Barber, J. R. , 1967, “ The Distribution of Heat Between Sliding Surfaces,” J. Mech. Eng. Sci., 9(5), pp. 351–354. [CrossRef]
Berry, G. A. , and Barber, J. R. , 1984, “ The Division of Frictional Heat—A Guide to the Nature of Sliding Contact,” ASME J. Tribol., 106(3), pp. 405–415. [CrossRef]
Rashid, M. , and Seireg, A. , 1987, “ Heat Partition and Transient Temperature Distribution in Layered Concentrated Contacts. Part I and II,” ASME J. Tribol., 109(3), pp. 487–502. [CrossRef]
Komanduri, R. , and Hou, Z. B. , 2001, “ Analysis of Heat Partition and Temperature Distribution in Sliding Systems,” Wear, 251, pp. 925–938. [CrossRef]
Ling, F. F. , 1959, “ A Quasi-Iterative Method for Computing Interface Temperature Distributions,” Z Agnew. Math. Phys., 10(5), pp. 461–474. [CrossRef]
Greenwood, J. A. , 1991, “ An Interpolation Formula for Flash Temperatures,” Wear, 150, pp. 153–158. [CrossRef]
Tian, X. , and Kennedy, F. E. , 1994, “ Maximum and Average Flash Temperatures in Sliding Contacts,” ASME J. Tribol., 116(1), pp. 167–174. [CrossRef]
Liu, S. , Lannou, S. , Wang, Q. , and Keer, L. , 2004, “ Solutions for the Temperature Rise in Stationary/Moving Bodies Caused by Surface Heating With Surface Convection,” ASME J. Heat Transfer, 126(5), pp. 776–784. [CrossRef]
Barber, J. R. , 1989, “ An Asymptotic Solution for Short-Time Transient Heat Conduction Between Two Similar Contacting Bodies,” Int. J. Heat Mass Transfer, 32(5), pp. 943–949. [CrossRef]
Ling, F. F. , and Yang, C. F. , 1969, “ Surface Temperatures of Moving Layered Composites,” Surface Mechanics, F. F. Ling , ed., ASME, New York, pp. 164–176.
Ju, F. D. , and Liu, J. C. , 1988, “ Parameters Affecting Thermo-Mechanical Cracking in Coated Media Due to High-Speed Friction Load,” ASME J. Tribol., 110(2), pp. 222–227. [CrossRef]
Leroy, J. M. , Floquet, A. , and Villechaise, B. , 1989, “ Thermomechanical Behavior of Multilayered Media: Theory,” ASME J. Tribol., 111(3), pp. 538–544. [CrossRef]
Tian, X. , and Kennedy, F. E. , 1993, “ Temperature Rise at the Sliding Contact Interface for a Coated Semi-Infinite Body,” ASME. J. Tribol., 115(1), pp. 1–9. [CrossRef]
Vick, B. , Golan, L. P. , and Furey, M. J. , 1994, “ Thermal Effect Due to Surface Films in Sliding Contact,” ASME J. Tribol., 116(2), pp. 238–245. [CrossRef]
Gecim, B. , and Winer, W. O. , 1986, “ Effect of Surface Film on the Surface Temperature of a Rotating Cylinder,” ASME J. Tribol., 108(1), pp. 92–97. [CrossRef]
Abdel-Aal, H. A. , 1997, “ A Remark on the Flash Temperature Theory,” Int. Commun. Heat Mass Transfer, 24(2), pp. 241–250. [CrossRef]
Gecim, B. , and Winer, W. O. , 1985, “ Transient Temperatures in the Vicinity of an Asperity Contact,” ASME J. Tribol., 107(3), pp. 333–342. [CrossRef]
Bhushan, B. , 1987, “ Magnetic Head-Media Interface Temperatures—Part 1: Analysis,” ASME J. Tribol., 109(2), pp. 243–251. [CrossRef]
Yevtushenko, A. A. , Ivanyk, E. G. , and Ukhanska, O. M. , 1997, “ Transient Temperature of Local Moving Areas of Sliding Contact,” Tribol. Int., 30(3), pp. 209–214. [CrossRef]
Hou, Z.-B. , and Komanduri, R. , 1998, “ Magnetic Field Assisted Finishing of Ceramics—Part 1: Thermal Model,” ASME J. Tribol., 120(4), pp. 645–651. [CrossRef]
Kennedy, F. E. , 2000, “ Determination of Contact Temperatures Resulting From Frictional Heating,” International Tribology Conference, Nagasaki, Japan, pp. 313–318.
Alilat, N. , Bairi, A. , and Laraqi, N. , 2004, “ Three-Dimensional Calculation of Temperature in a Rotating Disk Subjected to an Eccentric Circular Heat Source and Surface Cooling,” Numer. Heat Transfer, 46(2), pp. 167–180. [CrossRef]
Laraqi, N. , Alilat, N. , Garcia de Maria, J. M. , and Bairi, A. , 2009, “ Temperature and Division of Heat in a Pin-on-Disc Frictional Device—Exact Analytical Solution,” Wear, 266, pp. 765–770. [CrossRef]
Kennedy, F. E. , Lu, Y. , and Baker, I. , 2015, “ Contact Temperatures and Their Influence on Wear During Pin-on-Disk Tribotesting,” Tribol. Int., 82, pp. 534–542. [CrossRef]
Gao, J. , Lee, S. C. , Ai, X. , and Nixon, H. , 2000, “ An FFT-Based Transient Flash Temperature Model for General Three-Dimensional Rough Surface Contacts,” ASME J. Tribol., 122(3), pp. 519–523. [CrossRef]
Zhu, D. , and Hu, Y.-Z. , 2001, “ Computer Program Package for the Prediction of EHL and Mixed Lubrication Characteristics, Friction, Subsurface Stresses and Flash Temperatures Based on Measured 3-D Surface Roughness,” Tribol. Trans., 44(3), pp. 383–390. [CrossRef]
Wang, S. , and Komvopoulos, K. , 1994, “ A Fractal Theory of the Interfacial Temperature Distribution in the Slow Sliding Regime: Part II—Multiple Domains, Elastoplastic Contacts and Applications,” ASME J. Tribol., 116(4), pp. 824–832. [CrossRef]
Wang, S. , and Komvopoulos, K. , 1995, “ A Fractal Theory of the Temperature Distribution at Elastic Contacts of Fast Sliding Surfaces,” ASME J. Tribol., 117(2), pp. 203–214. [CrossRef]
Tian, X. , Kennedy, F. E. , Deacutis, J. J. , and Henning, A. K. , 1992, “ The Development and Use of Thin Film Thermocouples for Contact Temperature Measurement,” Tribol. Trans., 35(3), pp. 491–499. [CrossRef]
Kennedy, F. E. , Frusescu, D. , and Li, J. , 1997, “ Thin Film Thermocouple Arrays for Sliding Surface Temperature Measurement,” Wear, 207, pp. 46–54. [CrossRef]
Kreith, F. , and Bohn, M. S. , 2001, Principles of Heat Transfer, 6th ed., Brooks/Cole, Pacific Grove, CA.


Grahic Jump Location
Fig. 1

Schematic diagrams of (a) a single square asperity on a stationary surface in sliding contact with a moving flat surface and (b) a square asperity on a stationary surface in sliding contact with a square asperity on a moving surface

Grahic Jump Location
Fig. 2

Schematic diagram of a nominal contact area on a sliding surface containing multiple contacting asperities

Grahic Jump Location
Fig. 3

(a) Schematic diagram of ring-on-disk tribotester, with TFTC on stationary disk; (b) contacting surface of rotating ring, showing real area of contact Ar; and (c) contacting surface of stationary disk, showing swept contact area Aswept and TFTC location

Grahic Jump Location
Fig. 4

Variation of measured surface temperature after 2 mins of sliding during unidirectional unlubricated test of UHMWPE ring against glass disk. Normal load 75 N. Background temperature Tb = 21.5 °C. Rotational speed = 300 rpm (5.0 Hz).



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