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Lubrication problems solved by the boundary element method. (English) Zbl 1464.76087

Summary: A boundary element method (BEM) for the solution of lubrication problems on finite bearings is presented. The formulation requires the Reynolds equation to be transformed into a constant coefficient equation. Several film shapes that make the transformation possible are systematically obtained. Noticeably, they cover most practical cases. As an example of application, a numerical solution that only requires the discretization of the boundary is presented for a finite pad bearing.

MSC:

76M15 Boundary element methods applied to problems in fluid mechanics
65N38 Boundary element methods for boundary value problems involving PDEs
76D08 Lubrication theory
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References:

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