Quantitative study on energy dissipation mechanism of metal rubber by an enhanced turbulence model

Abstract

This paper studies the energy dissipation of metal rubber with an enhanced turbulence model. Based on the catastrophe theory which is a highly generalized mathematical tool, a new method for studying turbulence is proposed, which can quantitatively analyze the energy dissipation of the whole turbulence developed to process and strictly deduce the expression of the energy spectrum density in different turbulence development stages. Then, a theoretical model of sound absorption performance in full-frequency is established by this enhanced turbulence model. Furthermore, the sound absorption property and energy dissipation of metal rubber are studied under different structural parameters. This paper not only demonstrates −10/9 and −5/3 power laws of the energy spectrum but also finds −3 power laws at high frequencies. Finally, the accuracy of the enhanced turbulence model and the feasibility of the metal rubber research method based on the enhanced turbulence model are verified by wind tunnel test and standing wave tube test, respectively. This study not only has a theoretical guidance for the preparation of metal rubber but also has a new perspective for the study of turbulent phase transition and even other complex phase transitions.