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Technical Briefs

A Simple Method to Calculate Contact Factor Used in Average Flow Model

[+] Author and Article Information
Fanming Meng

Center for Surface Engineering and Tribology, Northwestern University, Evanston, IL 60208; State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, People’s Republic of China

Q. Jane Wang

Center for Surface Engineering and Tribology, Northwestern University, Evanston, IL 60208

Diann Hua, Shuangbiao Liu

Advanced Materials Technology Division, Product Development Center of Excellence, Caterpillar Inc., Peoria, IL 61656-1875

J. Tribol 132(2), 024505 (Apr 26, 2010) (4 pages) doi:10.1115/1.4001195 History: Received March 30, 2009; Revised February 02, 2010; Published April 26, 2010; Online April 26, 2010

The average flow model proposed by Patir and Cheng offers a great convenience for the analysis of rough surfaces in lubrication. The contact factor introduced by Wu and Zheng helps to solve a difficulty in local film evaluation using the average flow model. This paper reports a simple method to calculate the contact factor. Method validation is demonstrated by the comparison of the contact factors for Gaussian surfaces obtained with the present method and the fitting formula of Wu and Zheng. The proposed method cannot only easily compute the contact factor values for Gaussian surfaces; it can also be used for those of non-Gaussian and measured surfaces, especially those with unknown probability density distribution of the roughness height.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Film thickness definitions

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Figure 2

Comparison between contact factors for Gaussian surfaces from the present method and those from Wu and Zheng’s fitting formula

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Figure 3

Comparison between contact factors from the present method and from stretched application of Wu and Zheng’s fitting formula for non-Gaussian surfaces

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Figure 4

Relative difference of contact factors for non-Gaussian surfaces from the present method with respect to those from stretched application of Wu and Zheng’s fitting formula

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Figure 5

Comparison between contact factors from the present method and by stretched application of Wu and Zheng’s fitting formula for measured surfaces

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