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Homogenization of a compressible cavitation model

Published online by Cambridge University Press:  06 March 2015

JOHN FABRICIUS ,
AFONSO TSANDZANA  and
PETER WALL
JOHN FABRICIUS
Affiliation:
Department of Engineering Sciences and Mathematics, Luleå University of Technology SE-971 87 Luleå, Sweden
AFONSO TSANDZANA
Affiliation:
Department of Engineering Sciences and Mathematics, Luleå University of Technology SE-971 87 Luleå, Sweden Department of Computer Science and Mathematics, Faculty of Science, Eduardo Mondlane University, Mozambique
PETER WALL
Affiliation:
Department of Engineering Sciences and Mathematics, Luleå University of Technology SE-971 87 Luleå, Sweden
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Abstract

We develop a mathematical model in hydrodynamic lubrication that takes into account three phenomena: cavitation, surface roughness and compressibility of the fluid. Like the classical Reynolds equation, the model is mass preserving. We compute the homogenized coefficients in the case of unidirectional roughness. A one-dimensional problem is also solved explicitly.

Keywords

lubrication theoryhomogenization theorycompressible Reynolds equationcavitation
Type
Papers
Information
European Journal of Applied Mathematics , Volume 26 , Issue 3 , June 2015 , pp. 383 - 399
Copyright
Copyright © Cambridge University Press 2015 

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References

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