Abstract

In hydraulic elements an under-pressure is generated during fluid flow around sharp edges or changing the flow cross-section (e.g. for valves, switchgear, nozzles). In these locations air suction by leakages or release of air from the liquid during cavitation may occur. When flow modelling using classical mathematical model of cavitation at higher flow rates there is disagreement in the measured and calculated hydraulic variables before and behind hydraulic element. Therefore, it is necessary to use a mathematical model of cavitation applied to the three-phase flow (water, vapour, air). Nowadays it is necessary to look for mathematical approaches, which are suitable for quick engineering use in sufficiently precision numerical calculations. The article is devoted to theoretical investigation of multiphase mathematical model of cavitation and its verification using a laboratory experiment. At first case the k-e RNG turbulent mathematical model with cavitation was chosen in accordance [9] and was applied on water flow with cavitation (water and vapour) in a convergent-divergent nozzle. In other cases a solution of water flow with cavitation and air saturation was investigated. Subsequently, the results of mathematical modelling and experimental investigation focused on monitoring of air content and its impact on the value of hydraulic parameters and the size of the cavitation area were verified.

Highlights

  • IntroductionVarious hydraulic elements (throttle valve, switchgear, measuring equipment, etc.), which are characterized by constriction of cross section, are much discussed from point of the fluid flow

  • Various hydraulic elements, which are characterized by constriction of cross section, are much discussed from point of the fluid flow

  • The work is devoted to theoretical investigation of multiphase mathematical model of cavitation at higher flow rates where there is disagreement in the measured and calculated hydraulic variables before and behind hydraulic element

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Summary

Introduction

Various hydraulic elements (throttle valve, switchgear, measuring equipment, etc.), which are characterized by constriction of cross section, are much discussed from point of the fluid flow. It is a specific multiphase flow of fluid mixtures with cavitation (vapour, liquid). The conclusions in the article show that increasing the oxygen level decreases the damage of the material surface This decrease may be ascribed to the increased diffusion rate of air into cavitation bubbles during the growth cycle, leading to collapse cushioning [7]. On the basis of this experiment the mathematical model was specified and the outcomes were verified with experimental data

Cavitation and aeration
Description of measurement
Mathematical modelling
Comparison of modelling and measurement
Findings
Conclusion

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