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Research Papers: Hydrodynamic Lubrication

A Multi-Objective Optimization Approach on Spiral Grooves for Gas Mechanical Seals

[+] Author and Article Information
Xiuying Wang

College of Mechanical Electrical Engineering,
Nanjing University of Aeronautics
and Astronautics,
Nanjing 210016, China
e-mail: wangxy621@163.com

Liping Shi

College of Mechanical Electrical Engineering,
Nanjing University of Aeronautics and
Astronautics,
Nanjing 210016, China;
School of Mechanical Engineering,
Anhui University of Technology,
Ma'anshan 243000, China
e-mail: xiaopingguoshi@163.com

Wei Huang

College of Mechanical Electrical Engineering,
Nanjing University of Aeronautics
and Astronautics,
Nanjing 210016, China
e-mail: huangwei@nuaa.edu.cn

Xiaolei Wang

College of Mechanical Electrical Engineering,
Nanjing University of Aeronautics
and Astronautics,
Nanjing 210016, China
e-mail: wxl@nuaa.edu.cn

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received July 3, 2017; final manuscript received December 24, 2017; published online January 31, 2018. Assoc. Editor: Stephen Boedo.

J. Tribol 140(4), 041701 (Jan 31, 2018) (10 pages) Paper No: TRIB-17-1269; doi: 10.1115/1.4038864 History: Received July 03, 2017; Revised December 24, 2017

Spiral groove is one of the most common types of structures on gas mechanical seals. Numerical research demonstrated that the grooves designed for improving gas film lift or film stiffness often lead to the leakage increase. Hence, a multi-objective optimization approach specially for conflicting objectives is utilized to optimize the spiral grooves for a specific sample in this study. First, the objectives and independent variables in multi-objective optimization are determined by single objective analysis. Then, a set of optimal parameters, i.e., Pareto-optimal set, is obtained. Each solution in this set can get the highest dimensionless gas film lift under a specific requirement of the dimensionless leakage rate. Finally, the collinearity diagnostics is performed to evaluate the importance of different independent variables in the optimization.

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Figures

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Fig. 1

Schematic diagram of physical model

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Fig. 2

Flowchart of the NSGA-II

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Fig. 3

Effects of groove-dam ratio δ on the four dimensionless performance parameters at κ = 0.55, β = π/6, and χ = 1

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Fig. 4

Effects of groove-land ratio κ on the four dimensionless performance parameters at δ = 0.45, β = π/6, and χ = 1

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Fig. 5

Effects of spiral angle β on the four dimensionless performance parameters at δ = 0.45, κ = 0.55, and χ = 1

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Fig. 6

Effects of ratio of groove depth and film thickness χ on the four dimensionless performance parameters at δ = 0.45, κ = 0.55, and β = π/6

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Fig. 7

Distribution clouds for different parameters: (a) W¯ distribution with κ and δ, (b) K¯ distribution with κ and δ, (c) Q¯ distribution with κ and δ, (d) COF distribution with κ and δ, (e) W¯ distribution with β and χ, (f) K¯ distribution with β and χ, (g) Q¯ distribution with β and χ, and (h) COF distribution with β and χ

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Fig. 8

Optimal shapes of spiral grooves

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Fig. 10

Errors of objectives in simplified optimal set compared with Pareto-optimal set: (a) optimal dimensionless gas film lift and (b) optimal dimensionless leakage rate

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Fig. 9

Results of multi-objective optimization

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