Performance Investigation of a Quantum Thermoacoustic Heat Pump Micro-Cycle

Abstract

In this work, quantum mechanics theory was applied to the thermoacoustic heat pump, and a quantum mechanical model within a one-dimensional harmonic potential well, namely the quantum thermoacoustic heat pump micro-cycle (TAHPMC), was constructed. Based on this model, the coefficient of performance \(\text{C}\text{O}\text{P}\) and heating rate \(H\) of the thermoacoustic heat pump were derived, and dimensionless form \({H}^{*}\) of \(H\) was defined for further analysis. The effects of the characteristic width of the potential well \(A\) and the width ratio \(y\) on these two parameters were systematically analyzed. To achieve synergistic optimization of the two performance indicators, an optimization objective function \(\Omega\) was established. Through numerical optimization, the parameter interval that optimizes the comprehensive performance of \(\text{C}\text{O}\text{P}\) and \({H}^{*}\) was identified, and it was proved that the reduction in heat leakage can significantly improve the heating capability of the thermoacoustic heat pump.