МАТЕМАТИЧЕСКАЯ МОДЕЛЬ ТУРБИНЫ РАСХОДОМЕРА

Abstract

Considered one of the approaches to the selection of the design parameters of the designed turbine flowmeter based on the use of its mathematical model. Analysis showed that holistic methods of design calculation of the turbine flowmeter in the literature open use unpublished . Therefore, the aim of the work described in the article is, first of all, the rationale and drawing algorithm engineering techniques and programs of design calculation of the turbine flowmeter. The basis of a mathematical model of the turbine were laid in the first principles calculations described in classical works , developments of theoretical and experimental , and experimental data on the choice of the most appropriate basic design parameters of the turbine. The process of designing a turbine, like any other complex technical object , is an iterative process where the method of successive approximations defined geometric and kinematic parameters of the flow part of the basis of providing defined criteria of optimality. For the implementation of the selection process and alignment design parameters of the turbine in the process of its design were constructed mathematical expressions for the optimality criteria, which correspond to the minima of the best embodiment of the projected turbine. It has been found that the design of turbine blade installation angle to be selected so that the slip ratio to the tangent of the angle of attack is minimal. In this case the meter will have the best combination of sliding and sensitivity. On the basis of the mathematical model has been developed a method of designing and testing calculation of the turbine flowmeter. A mathematical model has been implemented as a software package that can be used in the construction of computer-aided design and engineering of the turbine, as well as to create complex programs for machines with CNC for machining turbine blades flowmeter. Comparison of the results of design calculations carried out with the test results of a new prototype of the meter with the optimal engineered turbine efficiency showed manufacturing application of this methodology for the calculation of the turbine flowmeter type MIG. In addition, the results of simulations to study the flow of oil measurement error (for different values ​​of flow rate and viscosity) were the basis for the prediction error for the determination of flow turbines, with design parameters other than optimal.