We present a design methodology for a thermoacoustic looped-tube engine connected to a piston-crank-flywheel assembly. The engine has a regenerator with heat exchangers at each end, which divides the main tube and the thermal buffer tube. These two tubes are connected by a feedback tube. The thermal buffer tube is also connected with branch tube, where acoustic power outputs to the piston. To determine the geometry of each duct element, they are expressed by equivalent electrical circuit elements based on the analogy between the governing equations in acoustic and electrical systems. By analyzing the circuit equations, we find that the real part of the acoustic impedance, which determines the output power, increases with the decrease in the volume of the main tube and in the volume ratio of the thermal buffer tube and the branch tube compared to the main tube. To experimentally validate this tendency, we measured the acoustic impedance of the looped tube engine. The result confirms the effectiveness of our design approach and implies the possibility of higher performance thermoacoustic engines with a a flywheel.
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