Analysis of the effect of inertial forces of the electrolyte flow on the ECM machining effects of curvilinear rotary surfaces

This paper presents an analysis of the impact of inertial forces of the electrolyte flow in an interelectrode gap on the effects of ECM process of curvilinear rotary surfaces. Considering a laminar flow in the interelectrode gap, the equations of the flow of the mixture of electrolyte and hydrogen in the curvilinear orthogonal coordinate system have been defined. Two classes of equations of motion have been formulated, which differ in the estimates referred to the components of velocity and pressure, and which were analytically solved using the method of perturbation. Using the machined surface shape evolution equation, the energy equation, and the analytical solutions for velocity and pressure, the ECM-characteristic distributions have been determined: of mean velocity, pressure, mean temperature, current density, gas phase concentration, the gap height after the set machining time for the case when there is no influence of inertial forces, the effect of centrifugal forces and, at the same time, centrifugal and longitudinal inertial forces.