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Technical Briefs

Pseudo-Nine-Point Finite Difference Method for Numerical Analysis of Lubrication

[+] Author and Article Information
Shaoxian Bai, Xudong Peng

College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310032, China

Yonggang Meng, Shizhu Wen

State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, China

J. Tribol 131(4), 044502 (Sep 22, 2009) (6 pages) doi:10.1115/1.3195039 History: Received July 10, 2008; Revised July 12, 2009; Published September 22, 2009

Contours of surface texture of contact faces are not always parallel to the directions of the axis in solving Reynolds equations with finite difference method, and this often induces significant pressure saw-tooth effect, which results in an unignored analysis error. In this paper, pseudo-nine-point finite difference, as a new finite difference method, is introduced to solve the lubrication numerical problem of pressure saw-tooth. Also, application is carried out in gas lubrication of hard disk systems to verify the validity of the new method. In analysis, pressure distributions and gas floating forces are calculated for two different types of sliders, and the astringency and efficiency of the new method is discussed. Numerical results show that the pseudo-nine-point finite difference method can restrain pressure saw-tooth evidently, and presents better astringency and efficiency than the traditional five-point finite difference method. With the increase in mesh density, pressure distribution and gas floating force trend to steady. Also, numerical values of the floating force agree well with the experimental ones.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Illustration of the pseudo-nine-point finite difference method

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Figure 2

Types of calculation sliders

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Figure 3

Difference mesh of the calculation sliders

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Figure 4

Numerical pressure profiles of the calculation sliders

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Figure 5

Effects of the mesh density on the floating force calculation

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Figure 6

Convergence process of the two sliders with 200×200 grids

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Figure 7

Effects of the mesh density on calculating efficiency

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Figure 8

Fluid unit in the x1y1z coordinate system

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