In a flywheel thermoacoustic engine, the rotating motion of the flywheel is sustained by the reciprocal motion of the working gas confined in an externally heated thermoacoustic engine. In this study, an equation of motion for the flywheel in the steady rotational state is derived and the key parameters governing the rotation dynamics of the looped-tube thermoacoustic engine loaded with a piston-flywheel assembly are investigated. We demonstrate that the relationship between the steady rotation frequency and the heating temperature is determined by the real part of the acoustic impedance of the engine subsystem. This result is in contrast to that of a conventional thermoacoustic engine with a linear load, where both the real and imaginary parts of the acoustic impedance impact the operating condition. When the flywheel is connected, the imaginary part of the acoustic impedance only affects the temporal fluctuation of the rotation frequency. The attainable shaft power that can be extracted from the engine is also discussed based on experimental results.
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