The article describes the original design of the measuring transducer of angular velocity of the type “flapper-nozzle “. The aim of the study is mathematical modeling in the MathCAD program of the force action of liquid jets exiting nozzles, since this significantly affects the characteristics of the converter. The calculated values of the acting forces are compared by several known methods and their results are compared with experimental data. For the proposed design of the measuring transducer, greater convergence of the theoretical and experimental values of the power characteristic in the linear section is provided by the expressions for determining the force effect of two jets on the damper, defined as the hydrodynamic effect of the liquid jet on the obstacle. Given the real differences in the design of the converter from theoretical models, it is required to apply correction factors. As pressure increases, the coefficient increases from 1 to 1.24-1.30 depending on the pressure supplied to the measuring transducer and the version of expression used to calculate it. When using the expression for the approximate calculation of the acting forces in the converter, the correction factor is much higher and varies from 1.9 at a supply pressure of 0.5 MPa to 1.74 at a supply pressure of 1.5-2.0 MPa. The practical use of this calculation option is limited to the linear zone of pressure dependence in the working chambers of the converter on the gap between the nozzles and the shutter.
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.
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