Thermal rectification devices based on solid-liquid phase change material (PCM) can realize efficient and reversible control of forward and reverse heat flux. In this study, an analytical solution for a shell-and-tube phase change thermal rectifier is derived based on Fourier's law of heat conduction. The validity of the analytical model is confirmed by the numerical model verified by the exact solution of the single-phase Stefan problem. The influence of thermophysical properties, structural parameters, and initial temperature on the dynamic and static thermal rectification effects of the shell-and-tube heterojunction composed of polydimethylsiloxane (PDMS) and hexadecane (C16) is investigated and optimized. Results indicate that the proposed analytical model for the shell-and-tube phase change thermal rectifier enables rapid and precise prediction of thermal rectification effects. The presence of solid-liquid phases of C16 under forward and reverse heat transfer modes reduced the thermal resistance difference, resulting in poor initial rectification performance (only about 1.17). The optimized thermal rectification effect is significantly increased to 1.56, which is significantly improved by 33.56 %. Moreover, the dynamic rectification effect of the shell-and-tube thermal rectifier is notably higher than the static rectification effect. The average dynamic thermal rectification ratio within the first 50 s before and after optimization is 2.19 and 7.80, respectively, which is several times higher than the static thermal rectification ratio. This paper further analyzes the impact of initial temperature and finds that an increase in initial temperature can further enhance the dynamic thermal rectification effect. Raising the initial temperature to 5 K above the phase change temperature can increase the improvement of the dynamic rectification effect to 256.36 % in the first 50 s. The significance of this study lies in its potential to advance the understanding and practical application of thermal rectification based on PCM.
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