Optimization of the shape of a porous slider as regards load capacity or static stiffness

The problem of an infinite plane porous slider with an isothermal compressible lubricant that is optimum as regards the load capacity or static stiffness of the lubricant layer is solved. The solution is found for the case when there is a prescribed constraint on the lubrication flow rate through the porous insert. The optimum slider shapes found, and also the size and position of the insert, depend on the parameters of the problem that determine the properties of the lubricant and the insert, the supply conditions and the flow rate of the lubricant through the insert.