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Random multistage input and energy partition approach to the description of cavitation erosion process

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Abstract

Cavitation erosion process is analyzed from the point of view of energy consumption in constituent processes of the stochastic nature. Formulation of a new cavitation erosion model is presented. A kinetic approach is applied with due account taken of the random and multistage nature of the process. Mass loss is assumed proportional to the difference of the rates of the energy supply to the surface layer and the energy used for crack closure process (as well as other geometrical/environment processes contributing to retarding the cracks development). The model is thought to be the basis for prediction of cavitation erosion efficiency provided that functions and parameters used in the model are known. In view of the structure of the equations, the values of energy partition coefficients and energy input factor as well as statistical parameters are required. They are suggested to be related to the material parameters. The adequate types of probability functions of the constituent processes are also pointed out. The theoretical curves are adjusted to the experimental ones derived from the International Cavitation Erosion Test (ICET) data with calculations carried out under substantial simplifications. The general idea of the work consists in creating a simplified description of cavitation erosion, having caught the statistical dependence of the material destruction on its mechanical parameters and the loading conditions.

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Acknowledgments

This work was accomplished under the research project No N52201031/3368 financed by the Polish Ministry of Science and Higher Education.

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  1. The Szewalski Institute of Fluid Flow Machinery, Polish Academy of Sciences, ul.Fiszera 14, 80-952, Gdansk, Poland

    Boleslaw G. Giren & Janusz Steller

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  1. Boleslaw G. Giren
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  2. Janusz Steller
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Correspondence to Boleslaw G. Giren.

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Giren, B.G., Steller, J. Random multistage input and energy partition approach to the description of cavitation erosion process. Stoch Environ Res Risk Assess 23, 263–273 (2009). https://doi.org/10.1007/s00477-007-0200-8

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