An exact solution is developed for the Reynolds equation in the hydrodynamical theory of slider-bearing lubrication with side leakage for film thickness varying exponentially. This solution is in the form of a rapidly convergent series from which calculations for the pressure distribution, total bearing load, and center of pressure may be made rapidly for all values of the parameter concerned. The results are in close agreement with those which have been obtained for the plane slider bearing by cumbersome methods, and it is proposed not only to use the present solution for the plane case, but also to show the design possibilities for a much wider variety of shapes by using various portions of exponential curves.

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