Criteria for acoustic instability in a gas with ambient vibrational and radiative nonequilibrium

Computer Science – Sound

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Acoustic Instability, Gas Dynamics, Nonequilibrium Radiation, Sound Waves, Vibration Mode, Wave Propagation, Ambient Temperature, Black Body Radiation, Energy Sources, Gas Temperature, Perturbation Theory, Radiative Transfer, Vibrational Spectra

Scientific paper

When acoustic waves propagate in a gas, nonequilibrium phenomena can manifest themselves in either (or both) the ambient and perturbed states of the gas. To study the relatively unexamined effects of ambient nonequilibrium, the present paper uses a macroscopic gas-dynamic approach to investigate the influence of such nonequilibrium, primarily as regards vibration and secondarily as regards associated radiation. In situations where the vibrational temperature exceeds the translational temperature, ambient vibrational nonequilibrium, from whatever source, is shown to cause instability (i.e., wave amplification), provided the vibrational relaxation time is a decreasing function of temperature (or increases at less than a specified rate) and the degree of ambient nonequilibrium is sufficiently high. Ambient radiative nonequilibrium will cause instability in cases where the external-source temperature exceeds the gas temperature, provided the absorption coefficient is an increasing function of temperature and the rate of radiant-energy input is sufficiently large.

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