Abstract
This paper has derived generalized Reynolds equation in lubrication theory in terms of tensor analysis and S-coordinate system, and has provided corresponding variational inequality. The curved effect of flow of lubricant fluid is considered, and the influence of intrinsic properties of surfaces of axis and axle sleeve on flow are counted.
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References
Capriz, G., Variational techniques for the analysis of a lubrication problem, “Mathematical Aspects of Finite Element Methods”, Rome, (1975).
Wannier, G. H., A contribution to the hydrodynamics of lubrication, Quant. Appl. Math. 8 (1950), 1–32.
Elrod, H. G., A derivation of the basic equation for hydrodynamic lubrication with a fluid having constant properties, Quant. Appl. Math., 17 (1960), 349–359.
Murthy, M. K. V. and Stampacchia, G., A variational inequality with boundary conditions, Israel. J. Math. 13 (1972), 188–224.
Mosco, U., Error estimates for some variational inequalities, “Mathematical Aspects of Finite Element Methods”, Rome, (1975).
Browder, F. E., Existence theorems for nonlinear partial differential equations, “Proc. Sym. Math.”, V, 16, (1970).
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Communicated by Chien Wei-zang.
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Kai-tai, L., Ai-xiang, H. Generalized Reynolds equation and variational inequality in lubrication theory. Appl Math Mech 3, 83–98 (1982). https://doi.org/10.1007/BF01897389
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DOI: https://doi.org/10.1007/BF01897389