Abstract
For the numerical simulation of journal bearings, current software solutions use the Reynolds differential equation where inertia terms are not included. The Finite Difference Element Method (FDEM) is a black-box solver for nonlinear systems of elliptic and parabolic partial differential equations (PDEs). Based on the general black-box we implement the Reynolds equation with inertia terms for the simulation of a journal bearing. We can easily implement different models for the turbulence factors and the dynamic viscosity, and we also consider cavitation. We give results for different Reynolds numbers, and we also give a global error estimate for each of the cases. This shows the quality of the numerical solution and is a unique feature of FDEM.
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References
H. Schlichting, K. Gersten, Grenzschicht-Theorie. Springer-Verlag, 9. Auflage
O. Reynolds, On the Theory of Lubrication and its Application to Mr. Beauchamps Tower’s Experiments, including an Experimental Determination of the Viscosity of Olive Oils. Phil. Trans., 177, pp. 157-234
G.G. Hirs, A Bulk-Flow Theory for Turbulence in Lubricant Films. ASME Journal of Lubrication Technology, pp. 137-146, 1973
L. San Andrés, Turbulent Hybrid Bearings With Fluid Inertia Effects. ASME Journal of Tribology, Vol. 112, pp. 699-707, 1990
C. Barus, Isothermals, Isopiestics and Isometrics relative to Viscosity. Am. J. of Sience, 45, pp. 87-96, 1893
C.J.A. Roelands, Correlational Aspects of the Viscosity-Temperature-Pressure Relationship of Lubricating Oils. Ph.D. Thesis, Technical University Delft, The Netherlands, 1966
D. Dowson, G.R. Higginson, Elastohydrodynamic Lubrication, The Fundamentals of Roller and Gear Lubrication. Pergamon Press, Oxford, Great Britain, 1997
W. Schönauer, T. Adolph, FDEM: The Evolution and Application of the Finite Difference Element Method (FDEM) Program Package for the Solution of Partial Differential Equations, 2005, available at http://www.rz.uni-karlsruhe.de/rz/docs/FDEM/Literatur/fdem.pdf
T. Adolph, The Parallelization of the Mesh Refinement Algorithm in the Finite Difference Element Method, Doctoral Thesis, 2005, available at http://www.rz.uni-karlsruhe.de/rz/docs/FDEM/Literatur/par_mra_fdem.pdf
LINSOL, see http://www.rz.uni-karlsruhe.de/rd/linsol.php
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Adolph, T., Schönauer, W., Koch, R., Knoll, G. (2010). Application of FDEM on the Numerical Simulation of Journal Bearings with Turbulence and Inertia Effects. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering '09. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04665-0_28
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DOI: https://doi.org/10.1007/978-3-642-04665-0_28
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