Fuzzy Interpretation of the Discharge Coefficient for the Orifice Plate of Automated Flow Rate Measuring Systems

Abstract

ABSTRACT Differential pressure flowmeters play a key role in the organization of flow rate measurements of liquids and gases in various industries. Therefore, the tasks related to improving their accuracy and the convenience of forming various dependencies between the values on which the accuracy of flow rate measurement depends are very important. One of the main characteristics that determines the correct and accurate operation of differential pressure flowmeters is the discharge coefficient. In this paper, the authors present a methodology that allows us to present this coefficient as a fuzzy model. The paper presents an original method for modeling the existing discharge coefficient in the form of a fuzzy model that is able to change the existing classical equation. A comparative analysis of the fuzzy and classical models is performed for this discharge coefficient. The article analyzes the errors of the fuzzy model for the discharge coefficient, discusses ways how to reduce the error of the fuzzy model. The proposed methodology describes the application of the fuzzy model for this coefficient within the existing limits for the Reynolds number and diameter ratio. It is shown that for a more accurate approximation of the characteristics, it is necessary to add more fuzzy sets. The present method is feasible for diameter ratio and Reynolds number greater than 5000. The article also discusses the possibilities of using fuzzy models to improve the characteristics of differential pressure flow meters.