Publications de l'Institut Mathématique, Nouvelle SérieVol. 91(105), pp. 83–93 (2012)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 91(105), pp. 83–93 (2012) |
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THE EXACT ANALYTICAL SOLUTION FOR THE GAS LUBRICATED BEARING IN THE SLIP AND CONTINUUM FLOW REGIMENevena D. Stevanovic, Vladan D. DjordjevicFaculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia; and Serbian Academy of Sciences and Arts, Belgrade, SerbiaAbstract: The exact analytical solution for the compressible two-dimensional gas flow in the microbearing is presented. The general slip-corrected Reynolds lubrication equation is derived and it is shown that it possesses an exact analytical solution. It is obtained by a suitable transformation of the independent variable, and it provides the pressure distribution in the bearing as well as the mass flow rate through it. By neglecting the rarefaction effect, this solution is also applicable to the continuum gas flow in the bearing, which also does not exist in the open literature. The obtained analytical solution can be usefully applied for testing the other, experimental or numerical results. Keywords: microbearing; Reynolds lubrication equation; analytical solution; second order slip velocity Classification (MSC2000): 76P05 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 May 2012. This page was last modified: 12 Jun 2012.
© 2012 Mathematical Institute of the Serbian Academy of Science and Arts
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