Numerical study of heterogeneous mean temperature and shock wave in a resonator

Journal Article · Wed Oct 28 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4934437· OSTI ID:22492645

Yano, Takeru ^[1]

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1. Department of Mechanical Engineering, Osaka University, Suita 565-0871 (Japan)

When a frequency of gas oscillation in an acoustic resonator is sufficiently close to one of resonant frequencies of the resonator, the amplitude of gas oscillation becomes large and hence the nonlinear effect manifests itself. Then, if the dissipation effects due to viscosity and thermal conductivity of the gas are sufficiently small, the gas oscillation may evolve into the acoustic shock wave, in the so-called consonant resonators. At the shock front, the kinetic energy of gas oscillation is converted into heat by the dissipation process inside the shock layer, and therefore the temperature of the gas in the resonator rises. Since the acoustic shock wave travels in the resonator repeatedly over and over again, the temperature rise becomes noticeable in due course of time even if the shock wave is weak. We numerically study the gas oscillation with shock wave in a resonator of square cross section by solving the initial and boundary value problem of the system of three-dimensional Navier-Stokes equations with a finite difference method. In this case, the heat conduction across the boundary layer on the wall of resonator causes a spatially heterogeneous distribution of mean (time-averaged) gas temperature.

• OSTI ID: 22492645
• Journal Information: AIP Conference Proceedings, Vol. 1685, Issue 1; Conference: 20. international symposium on nonlinear acoustics, Ecully (France), 29 Jun - 3 Jul 2015, 2. international sonic boom forum, Ecully (France), 29 Jun - 3 Jul 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BOUNDARY LAYERS
BOUNDARY-VALUE PROBLEMS
CROSS SECTIONS
FINITE DIFFERENCE METHOD
HEAT
KINETIC ENERGY
NAVIER-STOKES EQUATIONS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
OSCILLATIONS
RESONATORS
SHOCK WAVES
SOUND WAVES
THERMAL CONDUCTION
THERMAL CONDUCTIVITY
THREE-DIMENSIONAL CALCULATIONS
VISCOSITY