The Infinitely Long Partial Arc Self-Acting Gas Bearing, a Method of Solution for the Full Range of the Compressibility Number

摘要

In the case of the partial-arc, self-acting gas bearing, boundary layer effects (i.e., extremely rapid changes within a small region, generally at the boundary) can be shown to occur in the pressure at high values of the compressibility number. The method of solution, whatever one is used, must take this type of phenomenon into account. For example, a finite difference solution might use a finer mesh in the boundary layer region. This report describes the modifications which must be made to Galerkin's method in treating the static solution of an infinitely long partialarc, self-acting gas bearing. Similar modifications must also be employed for the analysis of finite length bearings as well as for the computation of the film pressure at dynamic conditions for the whole range of squeeze numbers. Thus, the present work is merely the prelude to an ultimate analytical tool, which can be used practically for the generation of static and dynamic performance data of partial-arc, gas-lubricated, self-acting, bearing pads.