In order to understand the numerical analysis of the thermal storage and release performance of mechanical heat storage materials, the author proposes a study on the numerical analysis of the thermal storage and release performance of mechanical heat storage materials based on 2-D thermal conductivity differential equations. The author first studied the phenomenon of iron resistance in the sleeve on the overall heat storage performance of the magnesium brick, and made two conclusions about the number of magnets in the sleeve brick. Second, ANSYS is used to model the exothermic process of mechanical heat storage, analyze the temperature distribution, flow field distribution, heat transfer coefficient of heat storage under different conditions, and compare the experimental results. Finally, the experiment shows that the addition of the sleeve does not affect the overall heat storage performance of the magnetic brick, which can extend the service life of the resistance metal and provides some support for the expansion of the use of the heat storage material of the magnetic brick. By using the numerical calculation method to calculate the error, it can be seen that the error between the numerical simulation and experimental results is less than 16, and the experimental results are consistent with the experimental results. The ability to store and release heat of a heat storage facility depends largely on its size structure, and the heat storage and release ability of a small heat storage facility is better than that of a large heat storage facility. For heat storage materials with high thermal conductivity, their heat transfer coefficient will increase with increasing temperature, but the increase is not significant. For thermal accumulators with low thermal conductivity, their heat transfer coefficient will decrease with increasing temperature.