Abstract

A new mathematical model has been developed to determine the coefficient of internal and theoretical head in the variant design of the low-flow rate centrifugal compressors impellers. A parametric study of the flow part of the impeller is carried out. In total 1620 impellers are numericaly simulated. As a result, a numerical database of gas dynamic and geometric parameters was developed. Due to an a priori analysis, the relations of parameters with the geometric shape of the flow part are determined. The mathematical model is developed using gas-dynamic parameters and relations determined from numerical database. Using centrifugal compressor stage digital twins, a generalizing relationship has been developed to determine the complex of friction and leakage losses.The reliability of the math model is validated by the comparison with experimental data and the results of numerical experiment in digital twins, which are not involved in the model. The application of the head math model is determined in the range of the conditional flow coefficient 0.006<Φd<0.02 and the theoretical head coefficient 0.60 <ψt<0.72.

Highlights

  • There are no simple engineering methods for calculating the theoretical head coefficient and the complex of friction and leakage loss for low-flow rate stages

  • Since the simulation data for the detailed stages participated in the development of the equation for calculating the complex of friction and leakage loss, the data for the tested stages SVD-7 and SVD-8 CVRE (Compressor, vacuum and refrigeration engineering) research group [5] were used, not used in compiling a generalizing dependence of the theoretical pressure and the complex of friction and leakage loss

  • A math model is developed in the form of generalizing dependences for calculating the theoretical head coefficient ψt of low-flow impellers in the design mode for the centrifugal compressors stages of thermal power plants booster compressor stations

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Summary

Introduction

There are no simple engineering methods for calculating the theoretical head coefficient and the complex of friction and leakage loss for low-flow rate stages. The flow features in low-flow rate stages [4, 5, 6] are caused by the influence of the viscosity. It does not allow the use of methods for calculating inviscid flow, what is shown in the work [7]. A number of scientific publications [9, 10, 11, 12, 13, 14, 15, 16, 17] show the efficiency of using computational methods in the design and study of centrifugal compressors low-flow rate stages. Computational methods are widely used in modeling the working processes of turbomachines [20, 21]

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