Traditionally, in rectangular cavity research the fundamental physical understanding of cavity resonance is a handful of empirical equations. The authors have recently derived the cavity acoustic wave equation and the cavity hydrodynamic wave equation from Lighthill’s and Curle’s acoustic analogy wave equations. By changing the cavities boundary conditions with half span doors, in both doors open and one door closed configurations, the resulting pressure spectrum changes are attributable to the boundary condition changes and can capture the large frequency shift differences due to the door configuration changes. These results suggest these derived cavity wave equations are correct.
- Fluids Engineering Division
Boundary Condition Effects on Supersonic Rectangular Cavities
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Schmit, RF, Johnson, R, & Grove, J. "Boundary Condition Effects on Supersonic Rectangular Cavities." Proceedings of the ASME 2016 Fluids Engineering Division Summer Meeting collocated with the ASME 2016 Heat Transfer Summer Conference and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. Volume 1B, Symposia: Fluid Mechanics (Fundamental Issues and Perspectives; Industrial and Environmental Applications); Multiphase Flow and Systems (Multiscale Methods; Noninvasive Measurements; Numerical Methods; Heat Transfer; Performance); Transport Phenomena (Clean Energy; Mixing; Manufacturing and Materials Processing); Turbulent Flows — Issues and Perspectives; Algorithms and Applications for High Performance CFD Computation; Fluid Power; Fluid Dynamics of Wind Energy; Marine Hydrodynamics. Washington, DC, USA. July 10–14, 2016. V01BT14A003. ASME. https://doi.org/10.1115/FEDSM2016-7593
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