Analytical determination of oscillating frequencies and onset temperatures of standing wave thermoacoustic heat engines

摘要

This paper determines analytically the oscillating frequency and onset temperature of a simple standing wave thermoacoustic heat engine as eigenvalues of wave problem. The method to treat is based on the linear theory of thermoacoustics and the analytical solution of wave equation. The influence of geometrical parameters such as stack position, stack length, engine total length, and the influence of operational parameters such as charge pressure, on the oscillating frequency and onset temperature for four different working gases of Hydrogen, Helium, Nitrogen and Argon are investigated. Moreover, the eigenvalues are calculated for binary gas mixtures of four mentioned gases.