Abstract
We analyze stability of thermoacoustic spontaneous oscillations of helium gas (Taconis oscillations) using the numerical simulation. The flow fields in a 2D rectangular closed tube and a circular cylindrical closed tube are simulated by solving the 2D and axisymmetric compressible Navier-Stokes equations, respectively. In the 2D rectangular tube, two steady states (oscillation state and quiescent state) are obtained at the same temperature ratios. On the other hand, in the axisymmetric cylindrical tube three different oscillation modes are observed: the fundamental mode and the second mode of a standing wave, and the oscillation with a shock wave.
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