Abstract
In this paper, a novel approach for the simulation of cavitation and aeration in hydraulic systems using the lumped parameter method is presented. The presented approach called the Hybrid Rayleigh–Plesset Equation model is derived from the Rayleigh–Plesset Equation representative of bubble dynamics and overcomes several shortcomings present in existing lumped parameter based cavitation modeling approaches. Models based on static approximations do not consider the non-equilibrium effects of phase change on the system and incorrectly predict the system dynamics. On the other hand, the existing dynamic cavitation modeling strategies account for the non-equilibrium effects of phase change but express the evolution of phases through approximations of the Rayleigh–Plesset Equation (such as exclusion of nonlinear interactions in bubble dynamics), which often lead to physically unrealistic time-scales of bubble growth or dissolution. This paper presents a dynamic model for cavitation which is capable of predicting cavitation in hydraulic systems while preserving the nonlinear dynamics arising from the Rayleigh–Plesset Equation. The derived model determines the evolution of phases in terms of physically realizable parameters such as the bubble radius and the nuclei density, which can be estimated or determined experimentally. The paper demonstrates the effectiveness of the derived modeling approach with the help of numerical simulations of an External Gear Machine. Results from the simulations employing the proposed model are compared with an existing dynamic cavitation modeling approach and validated with experimental results over a range of dynamic parameters.
Highlights
IntroductionIt is well known that bubbles generated due to cavitation as well as aeration have detrimental effects in fluid power systems
Cavitation and aeration commonly occur in the operation of many fluid power systems, in particular in hydraulic components that are subjected to pressures below saturation pressure.It is well known that bubbles generated due to cavitation as well as aeration have detrimental effects in fluid power systems
Comparisons are made with the existing dynamic cavitation modeling approach introduced in ref
Summary
It is well known that bubbles generated due to cavitation as well as aeration have detrimental effects in fluid power systems. They are undesirable due to the mechanical damage and noise resulting from the implosion of bubbles and because they negatively affect the volumetric ability of positive displacement machines. Such undesirable effects of cavitation and aeration on the performance of hydraulic system necessitates their modeling in the prediction of operation of fluid power systems.
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