By using the theory of a stochastic process, a generalized form of Reynolds equation applicable to rough bearings is derived by assuming the fluxes to be represented by power series of a stochastic film-thickness function.
In the case of a step slider bearing, it is shown that load capacity and friction force increase but that coefficient of friction decreases as roughness parameter increases. Similar results are true in the case of a hydrostatic bearing. Further, in this case, good agreement between this theory and the sinusoidal approach is illustrated by suitably choosing the roughness parameter.
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