In this research, the process whereby objects are cooled (or heated) is reconsidered by studying Newton's law of cooling. The findings of the study highlight the important relationship between the volume-specific surface area of objects and the dynamics of heat content change; that is, the rate at which the temperature of an object decreases is shown to additionally depend on the size of the volume-specific surface area of the object. If the surface area in contact with the environment is small compared to the volume of the object, then the effect of the environment (e.g., heat exchange, heat loss) on the object will also be small. Consequently, when attempting to enhance the energy efficiency in heat storage design, apart from increasing the thickness of the thermal insulating layer, the specific heat loss of an object could be lowered by reducing the volume-specific surface area as an additional option. This hypothesis was based on observations, and the observed phenomenon has been confirmed by a computational example following the renewed interpretation of Newton's law of cooling, which has become more understandable by applying critical thinking. Newton's law of cooling has been newly expressed for use in engineering design, practice, and education. The interpretation of this law presented in this study can be used to reduce specific heat loss and intensify heat transfer. The article draws attention to the importance of the volume-specific surface area, which is an important variable in many engineering fields other than the case presented here. The method described here can be viewed as an additional alternative to the traditional education methods considered in heat transfer textbooks.

中文翻译：

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传热物体中体积比表面积的作用：基于批判性思维的牛顿冷却定律研究

在这项研究中，通过研究牛顿冷却定律重新考虑物体冷却（或加热）的过程。研究结果强调了物体的体积比表面积与热含量变化动态之间的重要关系；也就是说，物体温度降低的速率还取决于物体的体积比表面积的大小。如果与物体的体积相比，与环境接触的表面积较小，则环境对物体的影响（例如热交换、热损失）也会较小。因此，当试图提高储热设计的能量效率时，除了增加隔热层的厚度外，还可以通过减少体积比表面积作为额外的选择来降低物体的比热损失。这一假设基于观察，并且在对牛顿冷却定律进行重新解释后，观察到的现象已通过计算示例得到证实，通过应用批判性思维，牛顿冷却定律变得更容易理解。牛顿冷却定律经过新表述，可用于工程设计、实践和教育。本研究中对该定律的解释可用于减少比热损失并强化传热。本文提请人们注意体积比表面积的重要性，除了这里介绍的案例之外，它在许多工程领域都是一个重要变量。这里描述的方法可以被视为传热教科书中考虑的传统教育方法的另一种替代方法。