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Two temperature model for thermoacoustic sound generation in thick porous thermophones

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Thermoacoustic sound generation offers a promising wideband alternative to mechanically driven loudspeakers. Over the past decade, the development of nanomaterials with new physicochemical properties promoted wide interest in thermophone technology.… Click to show full abstract

Thermoacoustic sound generation offers a promising wideband alternative to mechanically driven loudspeakers. Over the past decade, the development of nanomaterials with new physicochemical properties promoted wide interest in thermophone technology. Indeed, several thermophone structures based on suspended nanowires, graphene sheets, highly porous foams, or sponges have been investigated. At the same time, theoretical models have been developed to predict the frequency and power spectra of these devices. However, most of the models have taken into consideration a solid homogeneous material for representing the thermophone generating layer, and its microstructure was, therefore, neglected. If this assumption holds for thin dense materials, it is not acceptable for thick and porous thermophone devices. Hence, a model able to describe the behavior of highly porous foam- or spongelike generating layers is proposed. It is based on a two-temperature scheme since the thermal equilibrium is not typically attained between the foam material and the embedded air. To do this, the fluid equations for the air are coupled with the heat equation for the solid foam through boundary conditions mimicking the energy exchange at the contact surface between them. The behavior of the main physical variables within the porous generating layer is explained and comparisons with recent experimental results are thoroughly discussed.Thermoacoustic sound generation offers a promising wideband alternative to mechanically driven loudspeakers. Over the past decade, the development of nanomaterials with new physicochemical properties promoted wide interest in thermophone technology. Indeed, several thermophone structures based on suspended nanowires, graphene sheets, highly porous foams, or sponges have been investigated. At the same time, theoretical models have been developed to predict the frequency and power spectra of these devices. However, most of the models have taken into consideration a solid homogeneous material for representing the thermophone generating layer, and its microstructure was, therefore, neglected. If this assumption holds for thin dense materials, it is not acceptable for thick and porous thermophone devices. Hence, a model able to describe the behavior of highly porous foam- or spongelike generating layers is proposed. It is based on a two-temperature scheme since the thermal equilibrium is not typically attained...

Keywords: thick porous; thermophone; sound generation; thermoacoustic sound; two temperature

Journal Title: Journal of Applied Physics
Year Published: 2019

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