Steady-state mixed hydrodynamic lubrication of rigid journal bearing is investigated by using a finite difference form of the Patir–Cheng average Reynolds equation under the Reynolds boundary condition. Two sets of discretization meshes, i.e., the rectangular and nonorthogonal herringbone meshes, are considered. A virtual-mesh approach is suggested to resolve the problem due to the singularities of pressure derivatives at the turning point of the herringbone mesh. The effectiveness of the new approach is examined by comparing the predicted load with that found in the literature for a smooth-surface case solved in the conventional rectangular mesh. The effects of the skewness angles of symmetric and asymmetric herringbone meshes on the predicted parameters, such as load, friction coefficient, attitude angle, and maximum pressure, are investigated for smooth, rough, and herringbone-grooved bearing surfaces. It is found that the new approach helps to improve the computational accuracy significantly, as demonstrated by comparing the results with and without the treatment of the pressure derivative discontinuity although the latter costs slightly less computational time.
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January 2016
Research-Article
A New Singularity Treatment Approach for Journal-Bearing Mixed Lubrication Modeled by the Finite Difference Method With a Herringbone Mesh
Yanfeng Han,
Yanfeng Han
State Key Laboratory
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
Search for other works by this author on:
Shangwu Xiong,
Shangwu Xiong
Department of Mechanical Engineering, Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
2145 Sheridan Road,
Evanston, IL 60208
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Jiaxu Wang,
Jiaxu Wang
State Key Laboratory
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
Search for other works by this author on:
Q. Jane Wang
Q. Jane Wang
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208;
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208;
State Key Laboratory
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
e-mail: qwang@northwestern.edu
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
e-mail: qwang@northwestern.edu
Search for other works by this author on:
Yanfeng Han
State Key Laboratory
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
Shangwu Xiong
Department of Mechanical Engineering, Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208
2145 Sheridan Road,
Evanston, IL 60208
Jiaxu Wang
State Key Laboratory
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
Q. Jane Wang
Department of Mechanical Engineering,
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208;
Northwestern University,
2145 Sheridan Road,
Evanston, IL 60208;
State Key Laboratory
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
e-mail: qwang@northwestern.edu
of Mechanical Transmission,
Chongqing University,
174 Shazhengjie, Shapingba District,
Chongqing 40044, China
e-mail: qwang@northwestern.edu
1Corresponding author.
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received March 14, 2015; final manuscript received July 21, 2015; published online August 31, 2015. Assoc. Editor: Mihai Arghir.
J. Tribol. Jan 2016, 138(1): 011704 (10 pages)
Published Online: August 31, 2015
Article history
Received:
March 14, 2015
Revised:
July 21, 2015
Citation
Han, Y., Xiong, S., Wang, J., and Jane Wang, Q. (August 31, 2015). "A New Singularity Treatment Approach for Journal-Bearing Mixed Lubrication Modeled by the Finite Difference Method With a Herringbone Mesh." ASME. J. Tribol. January 2016; 138(1): 011704. https://doi.org/10.1115/1.4031138
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