Theoretical Calculation of Compressed Media Leaks in Working Bodies of Single-Rotor Screw Compressor with Circumferential Tooth Shape

摘要

In this paper, the problem of leakage of the medium being compressed in the working part of a single-rotor screw compressor (SSC) with a circumferential tooth shape is considered. The initial system of differential equations of hydro-gas dynamics in relative motion in a rotating system of cylindrical coordinates associated with a cutter tooth of a circumferential profile is shown. It was established that when considering the task, the system of differential equations of hydro-gas dynamics should relate to the thermal and caloric equations of the state of a continuous medium, the dependencies characterizing its viscosity and thermal conductivity, as well as boundary and initial conditions. Reasonably, the simplification of the obtained dependences is possible when evaluating the order of all their members, considering the specificity of the working medium flow in narrow gaps, which takes place in the engagement of the working bodies of a single-rotor screw compressor.