Abstract
The Stokesian motion of viscous fluid lubricants in a class of externally pressurized hydrostatic bearings due to a pressure source has been studied by complex potential theory and conformal mapping. The outer boundary of the bearing is a (2:1) ellipse, and the inner boundary is a concentric circle. The complex potential function that satisfies the boundary conditions of the bearing has been constructed by reducing the flow inside an annulus. Applying the Riemann’s mapping theorem and using Jacobian elliptic functions, the exact mapping transformation could be found. A two-dimensional pressure distribution has been determined analytically and is presented in graphical form. An approximate evaluation of the total thrust is also calculated. This research is done through the selected configuration of the “elliptic-circle” domain. The deduced results are compared with the results of the preceding investigations, and conformity is found excellent.
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