Simplified method of calculating a series of parameters in slotted channels during laminar flow of a medium

This paper presents analytical relationships, which were derived on the basis of Reynolds equations for a layer of lubricant, and which are required for the design of chink seals operating in a laminar flow regime. The wedge shape of the sealing channel, which is typical for chink seals under force- and temperature-induced loads, is assumed as a basis of the model. The qualities of the geometry of the wedge-shaped channels are analyzed, optimization parameters selected, and recommendations cited for selection of the design dimensions and shape of the slot. Relationships for the pressure, bearing-force, and stiffness diagrams of the liquid layer in the slotted channel, and also losses for a typical series of running clearances in the chink seal are presented. The solutions obtained are applicable for analyses of couplings subjected to the flow of a medium in wedge-shape channels. This form of channel develops in the longitudinal direction in the annular slot of a plunger pair, and also during the operation of a chink seal or bearing with a socket lubricant feed owing to deformation of components of the shaft and housing bushing, which form an annular channel, as well as the eccentricity and intersection of the axes.