The underlying theory, in this paper, is based on clear physical arguments related to conservation of mass flow and considers both incompressible and compressible fluids. The result of the mathematical modeling is a system of equations with two unknowns, which are related to the hydrodynamic pressure and the degree of saturation of the fluid. Discretization of the system leads to a linear complementarity problem (LCP), which easily can be solved numerically with readily available standard methods and an implementation of a model problem in matlab code is made available for the reader of the paper. The model and the associated numerical solution method have significant advantages over today's most frequently used cavitation algorithms, which are based on Elrod–Adams pioneering work.
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January 2014
Research-Article
A New Approach for Studying Cavitation in Lubrication
Andreas Almqvist,
Andreas Almqvist
Associate Professor
Luleå University of Technology,
e-mail: andreas.almqvist@ltu.se
Machine Elements
,Luleå University of Technology,
Luleå 97187, Sweden
e-mail: andreas.almqvist@ltu.se
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John Fabricius,
John Fabricius
Assistant Professor
Mathematics,
e-mail: john.fabricius@ltu.se
Mathematics,
Luleå University of Technology
,Luleå 97187, Sweden
e-mail: john.fabricius@ltu.se
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Roland Larsson,
Roland Larsson
Professor
Machine Elements,
e-mail: roland.larsson@ltu.se
Machine Elements,
Luleå University of Technology
,Luleå 97187, Sweden
e-mail: roland.larsson@ltu.se
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Peter Wall
Peter Wall
Professor
Mathematics,
e-mail:
Mathematics,
Luleå University of Technology
,Luleå 97187, Sweden
e-mail:
peter.wall@ltu.se
Search for other works by this author on:
Andreas Almqvist
Associate Professor
Luleå University of Technology,
e-mail: andreas.almqvist@ltu.se
Machine Elements
,Luleå University of Technology,
Luleå 97187, Sweden
e-mail: andreas.almqvist@ltu.se
John Fabricius
Assistant Professor
Mathematics,
e-mail: john.fabricius@ltu.se
Mathematics,
Luleå University of Technology
,Luleå 97187, Sweden
e-mail: john.fabricius@ltu.se
Roland Larsson
Professor
Machine Elements,
e-mail: roland.larsson@ltu.se
Machine Elements,
Luleå University of Technology
,Luleå 97187, Sweden
e-mail: roland.larsson@ltu.se
Peter Wall
Professor
Mathematics,
e-mail:
Mathematics,
Luleå University of Technology
,Luleå 97187, Sweden
e-mail:
peter.wall@ltu.se
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received June 17, 2013; final manuscript received October 24, 2013; published online November 20, 2013. Assoc. Editor: Daniel Nélias.
J. Tribol. Jan 2014, 136(1): 011706 (6 pages)
Published Online: November 20, 2013
Article history
Received:
June 17, 2013
Revision Received:
October 24, 2013
Connected Content
Citation
Almqvist, A., Fabricius, J., Larsson, R., and Wall, P. (November 20, 2013). "A New Approach for Studying Cavitation in Lubrication." ASME. J. Tribol. January 2014; 136(1): 011706. https://doi.org/10.1115/1.4025875
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