Marginal conditions for the onset of thermoacoustic oscillations due to instability of heat flow

@article{Sugimoto2018MarginalCF,
  title={Marginal conditions for the onset of thermoacoustic oscillations due to instability of heat flow},
  author={Nobumasa Sugimoto},
  journal={IMA Journal of Applied Mathematics},
  year={2018}
}
This paper derives marginal conditions for the onset of thermoacoustic oscillations of a gas due to instability of heat flow in a closed tube and a looped tube. Steady heat flow is created by installing in the tube a stack consisting of many pores axially, sandwiched by hot and cold heat exchangers to impose a temperature gradient. Assuming a time-harmonic disturbance and a temperature gradient given, an eigenvalue problem is posed on Rott’s equation. Given a pore radius of the stack, a… 
Experiments on self-excited thermoacoustic oscillations in an air-filled closed tube
Experiments are performed to demonstrate experimentally emergence of self-excited thermoacoustic oscillations of an air column in a closed, straight tube. Installing therein a stack subjected to a
Linear and Nonlinear Theories for Thermoacoustic Waves in a Gas Filled Tube Subject to a Temperature Gradient
This article reviews briefly the linear and nonlinear theories of thermoacoustic waves in a gas filled tube subject to a temperature gradient. In the framework of fluid dynamics, asymptotic theories

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