The goal of this study is to apply a numerical model for cavitation bubble dynamics that is based on the existing Rayleigh-Plesset equation (RPE). Physical background and derivation of the RPE are given, as well as the basic phenomena associated with cavitation, such as nucleation, shockwaves, and microjets. Several adverse effects of cavitation are discussed, in addition to domains in which cavitation was found to be useful, and the classification of cavitation. Since RPE is a second order ordinary differential equation (ODE), it had to be converted into a system of two first order ODEs before being solved numerically. Runge-Kutta numerical method of fourth order was selected as the most suitable method for solving a system of ODEs, and then applied on the relations in the RPE. For the model application, computational power of Microsoft Excel was determined to be sufficient to handle all the necessary calculations. Furthermore, the impact of changes in different criteria, initial conditions and fluid parameters is studied, such as: bubble initial radius, pressure amplitude, surface tension, and liquid viscosity. Model is then verified based on existing numerical results. Model is then validated towards two types of experiments - laser-induced cavitation bubble, and spark-generated bubble. Finally, applicability of the model for cavitation erosion prediction is briefly discussed.
Anotace v angličtině
The goal of this study is to apply a numerical model for cavitation bubble dynamics that is based on the existing Rayleigh-Plesset equation (RPE). Physical background and derivation of the RPE are given, as well as the basic phenomena associated with cavitation, such as nucleation, shockwaves, and microjets. Several adverse effects of cavitation are discussed, in addition to domains in which cavitation was found to be useful, and the classification of cavitation. Since RPE is a second order ordinary differential equation (ODE), it had to be converted into a system of two first order ODEs before being solved numerically. Runge-Kutta numerical method of fourth order was selected as the most suitable method for solving a system of ODEs, and then applied on the relations in the RPE. For the model application, computational power of Microsoft Excel was determined to be sufficient to handle all the necessary calculations. Furthermore, the impact of changes in different criteria, initial conditions and fluid parameters is studied, such as: bubble initial radius, pressure amplitude, surface tension, and liquid viscosity. Model is then verified based on existing numerical results. Model is then validated towards two types of experiments - laser-induced cavitation bubble, and spark-generated bubble. Finally, applicability of the model for cavitation erosion prediction is briefly discussed.
The goal of this study is to apply a numerical model for cavitation bubble dynamics that is based on the existing Rayleigh-Plesset equation (RPE). Physical background and derivation of the RPE are given, as well as the basic phenomena associated with cavitation, such as nucleation, shockwaves, and microjets. Several adverse effects of cavitation are discussed, in addition to domains in which cavitation was found to be useful, and the classification of cavitation. Since RPE is a second order ordinary differential equation (ODE), it had to be converted into a system of two first order ODEs before being solved numerically. Runge-Kutta numerical method of fourth order was selected as the most suitable method for solving a system of ODEs, and then applied on the relations in the RPE. For the model application, computational power of Microsoft Excel was determined to be sufficient to handle all the necessary calculations. Furthermore, the impact of changes in different criteria, initial conditions and fluid parameters is studied, such as: bubble initial radius, pressure amplitude, surface tension, and liquid viscosity. Model is then verified based on existing numerical results. Model is then validated towards two types of experiments - laser-induced cavitation bubble, and spark-generated bubble. Finally, applicability of the model for cavitation erosion prediction is briefly discussed.
Anotace v angličtině
The goal of this study is to apply a numerical model for cavitation bubble dynamics that is based on the existing Rayleigh-Plesset equation (RPE). Physical background and derivation of the RPE are given, as well as the basic phenomena associated with cavitation, such as nucleation, shockwaves, and microjets. Several adverse effects of cavitation are discussed, in addition to domains in which cavitation was found to be useful, and the classification of cavitation. Since RPE is a second order ordinary differential equation (ODE), it had to be converted into a system of two first order ODEs before being solved numerically. Runge-Kutta numerical method of fourth order was selected as the most suitable method for solving a system of ODEs, and then applied on the relations in the RPE. For the model application, computational power of Microsoft Excel was determined to be sufficient to handle all the necessary calculations. Furthermore, the impact of changes in different criteria, initial conditions and fluid parameters is studied, such as: bubble initial radius, pressure amplitude, surface tension, and liquid viscosity. Model is then verified based on existing numerical results. Model is then validated towards two types of experiments - laser-induced cavitation bubble, and spark-generated bubble. Finally, applicability of the model for cavitation erosion prediction is briefly discussed.
Elaboration of a review on the models used for the cavitation dynamics description
Preparation of a numerical model for the simulation of the cavitation dynamic based on the Rayleigh-Plesset equation
Validation of the numerical model towards available experiments
Testing the influence of the liquid properties and boundary conditions on the cavitation bubble dynamics using the numerical model
Investigation of a possibility of the numerical model to predict the cavitation erosion
Zásady pro vypracování
Elaboration of a review on the models used for the cavitation dynamics description
Preparation of a numerical model for the simulation of the cavitation dynamic based on the Rayleigh-Plesset equation
Validation of the numerical model towards available experiments
Testing the influence of the liquid properties and boundary conditions on the cavitation bubble dynamics using the numerical model
Investigation of a possibility of the numerical model to predict the cavitation erosion
Seznam doporučené literatury
FRANC, Jean-Pierre a Jean-Marie MICHEL. Fundamentals of cavitation. Dordrecht: Kluwer Academic Publishers, [2004]. Fluid mechanics and its applications, volume 76. ISBN 1-4020-2232-8.
BRENNEN, Christopher E. Cavitation and bubble dynamics. New York: Cambridge University Press, 2014. ISBN 9781107644762.
Seznam doporučené literatury
FRANC, Jean-Pierre a Jean-Marie MICHEL. Fundamentals of cavitation. Dordrecht: Kluwer Academic Publishers, [2004]. Fluid mechanics and its applications, volume 76. ISBN 1-4020-2232-8.
BRENNEN, Christopher E. Cavitation and bubble dynamics. New York: Cambridge University Press, 2014. ISBN 9781107644762.
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