Calculanion of hydraulic radial and angular forces of a smooth gap seal

The physical nature of the forces arising in the thin gaps of slotted seals of hydraulic machines has been studied quite fully. At the same time, various authors repeatedly studied the hydrodynamic characteristics of gap seals, however, the current methods for their analytical calculation for a number of parameters do not give a sufficiently accurate match. The inconsistencies in the conclusions of the researchers are due to assumptions that were made when solving the nonlinear equations of the unsteady flow of a viscous fluid in annular channels. The task of calculating radial forces includes an analysis of the law of the distribution of velocities and pressures in the flow of the fluid being sealed through an annular channel, one of the walls of which forms a rotating and vibrating rotor. In this case, the fluid flow in the gap is caused by both the axial pressure difference throttled at the seal and the nature of the movement of the inner channel wall. The problem is solved under the assumption of small radial and angular displacements of the shaft relative to the position of its static equilibrium.