Abstract
Very few investigations have considered the effects of fluid convection on the mutual- radiation resistance, which could be important in stationary fluids. In this work, we quantified the effects of a convected fluid on the radiation resistances including self- and mutual radiation resistances. We derived the non-dimensional modal impedance in the presence of mean flow based on an expansion in the panel mode of a simply supported plate. Then we compared the self-radiation resistances with the previous reports and analyzed the effects of flow on mutual radiation resistances. The results show that the radiation efficiency increases with the flow velocity, which compare very well with the previous reports. The flow introduces a strong coupling between modes that weakly coupled in no-flow case and with the increase of flow velocity. This coupling effect increases until Mach number (M) reaches 0.5 and then decreases. For the modes with the same parity indices, the flow shifts coupling lobes toward lower frequency with the increase of flow velocity due to the shift of critical frequency of higher mode radiation resistance, and the degree of coupling change is consistent with the change of critical frequency of the higher mode self-radiation resistance.
Highlights
Radiation resistance of a plate is important in vibroacoustic
We focused on the effects of a convected fluid on the mutual radiation resistances based on modal expansion method
As for the (1,1) plate mode shown in Fig.2, the notable change is that the critical frequency shifts toward low frequency with the increase of flow velocity
Summary
Radiation resistance of a plate is important in vibroacoustic It determines the plate velocity, and further determines the radiated acoustic power. The magnitude of the radiation efficiency depends on whether the mode is supersonic or subsonic, and the modal coupling is not negligible both at low frequency and under off-resonant excitation. The sound radiation behaviors of convective fluid-loaded plates could be very different. Maestrello et al.[13] reported one of the earliest acoustic response of a panel in convected fluid and derived the radiation sound pressure in the form of extended Green function. We focused on the effects of a convected fluid on the mutual radiation resistances based on modal expansion method. We compared the self-radiation resistances with previous reports and discussed the effects of flow on the mutual radiation resistances
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