Thermoacoustic heating at the closed end of an oscillating gas column

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Abstract
The problem of thermoacoustic heating at the closed end of a tube, in which small gas oscillations are maintained, leads in the case of adiabatic walls, and within the framework of a linear theory of the oscillations and a second-order theory of the heating effect, to singular behaviour of the equilibrium temperature at the tube end. Two cases are discussed: one with vanishing viscosity and one with viscosity tending to infinity. The singularities turn out to be similar in character and integrable in both cases.

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