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Hydrodynamic Lubrication

Gas Lubrication Analysis Method of Step-Dimpled Face Mechanical Seals

[+] Author and Article Information
Shaoxian Bai

College of Mechanical Engineering,Zhejiang University of Technology,Hangzhou 310032, Chinabshaoxian@163.net

Xudong Peng

College of Mechanical Engineering,Zhejiang University of Technology,Hangzhou 310032, Chinaxdpeng@zjut.edu.cn

Yefeng Li

College of Mechanical Engineering,Zhejiang University of Technology,Hangzhou 310032, Chinaoceandeep.lyf@163.com

Songen Sheng

College of Mechanical Engineering,Zhejiang University of Technology,Hangzhou 310032, Chinasse@zjut.edu.cn

J. Tribol 134(1), 011702 (Feb 24, 2012) (9 pages) doi:10.1115/1.4005642 History: Received September 29, 2009; Revised December 27, 2011; Published February 10, 2012; Online February 24, 2012

In solving Reynolds equation with the conventional finite difference method, keeping the flow continuity has ofen been ignored, which will lead to an analysis error in the pressure distribution and leakage rate, especially for discontinuous clearance caused by step structures such as laser surface texturing sealing surfaces. In this paper, a finite difference method is introduced to satisfy the flow continuity to solve the Reynolds equation. Then, the pressure distribution for a typical rectangular step structure is obtained via two different methods: a numerical solution of the exact full Navier-Stokes equations, and a solution of the Reynolds equation solved by the previously mentioned method. A comparison between the two solution methods illustrates that, for both pressure flow and shear flow, the pressure distribution from the new difference method is in good agreement with that from the Navier-Stokes equations, and the new difference method can reflect the characteristic of the pressure sudden-change of the shear flow at the steps. Finally, the pressure distribution and leakage rate of a step-dimpled seal face are acquired with the presented method. The results show that the presented method allows gas-lubricating analysis of mechanical face seals with discontinuous clearance, and can keep the leakage rate continuous in the radial direction.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Illustration of a step-dimple-textured sealing face

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Figure 2

Infinitely wide Rayleigh step

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Figure 3

Grid definition of a rectangular step regime

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Figure 4

Streamlines of the pressure flow calculated by CFD

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Figure 5

Pressure distribution of the pressure flow calculated by CFD

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Figure 6

Pressure distribution comparison of the pressure flow

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Figure 7

Streamlines of the shear flow calculated by CFD

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Figure 8

Pressure distribution of the shear flow calculated by CFD

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Figure 9

Pressure distribution comparison of the shear flow

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Figure 10

Effects of mesh density on the open force and leakage rate (rd  = 300 μm, λ = 3, Pi  = 1, and Λ= 250)

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Figure 11

Pressure distribution and leakage rate of the step-dimpled face mechanical seal (rd  = 300 μm, λ = 3, Pi  = 1, and Λ= 250)

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Figure 12

Effects of the clearance ratio on the open force and leakage rate (Pi  = 10, Λ = 50)

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Figure 13

Effects of the seal pressure on the open force and leakage rate (λ = 3)

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Figure 14

Effect of the seal number on the open force and leakage rate (Pi  = 10)

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