Application of the basic hydrodynamics equations in the modeling of hydraulic drives working processes

Abstract

To determine the main performance characteristics in the mathematical modeling of hydraulic, drive workflows mainly use two approaches. In the first approach, they use a mathematical model based on a system of differential equations of motion of the elements of the actuator and the costs when switching the working cavities. This modeling approach uses a partial solution of the Navier-Stokes differential equation, which introduces an empirical cost factor. The disadvantage of this approach is the higher coefficients, which do not differ in different modes of fluid flow in the hydraulic drive. The second approach is based on the energy-mechanical approach, where the hydrodynamic loss function is linearized using the energy conservation law. The disadvantage of these approaches is the neglect of significant losses, which make a significant difference between the results of theoretical and experimental studies. Overcoming these disadvantages, in the mathematical modeling of hydrodynamic processes in the hydraulic actuator, lies in the plane of spatial-stationary formulation of the problem, using a system of differential continuity equations and the Navier-Stokes.