Modeling static characteristics of angular velocity measuring transducer of the “nozzle-damper” type

Abstract

The article describes the design and principle of operation of the hydraulic measuring transducer of angular velocity of the “nozzle-damper” type. The aim of the study is the mathematical modeling in the MathCAD program of the static characteristics (flow and differential) of the measuring transducer, based on the Bernoulli equation. The research methodology provides a theoretical justification of the proposed expressions describing the operation of the transducer, analysis of numerical results obtained by numerical modeling in the MathCAD program, and their verification by comparison with experimental data. The developed mathematical model based on the Bernoulli fluid equation of motion, taking into account the use of the proposed correction factors, allows one to adequately describe the static characteristics of the angular velocity measuring transducer of the “nozzle-damper” type. According to the numerical values of the statistical criteria, the proposed power-law model more accurately describes the experimental data than the linear model. At a supply pressure of the measuring transducer equal to and less than 0.5 MPa, a discrepancy between the results of the model and experiments is observed.