Thermo-electric analogy method and thermal resistance are widely used for heat transfer problems to simplify the analysis process of complex heat transfer network. Traditional thermal resistance is usually applicable to one-dimensional steady state heat conduction problem. However, heat convection problem is always involved in engineering applications such as energy power, petrochemical, aerospace and so on. In order to solve this problem, the concept of multi-dimensional conduction-advection thermal resistance in parallel in fluid domain is proposed, and the conduction-advection thermal resistance network with heat capacity is constructed. The advection thermal resistance in the fluid domain is closely related to the magnitude and direction of temperature gradient and velocity. The higher the velocity, the smaller the advection thermal resistance. Simultaneously, there exists a "negative thermal resistance" in the advection thermal resistance, which is equivalent to a "heat source" or a "heat sink" in the fluid domain. A forced convection problem and a natural convection problem are taken as examples to illustrate the practicality of this thermal resistance analysis methodology. The results show that the conduction-advection parallel thermal resistance network is important to analyze the flow and heat transfer processes and guide the regulation and optimization of the heat transfer processes.

中文翻译：

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流体域传热过程的分析方法：并行传导-平流热阻

热电类比方法和热阻被广泛用于传热问题，以简化复杂传热网络的分析过程。传统的热阻通常适用于一维稳态热传导问题。然而，在能源电力、石油化工、航空航天等工程应用中始终涉及到热对流问题。为了解决这一问题，提出了流体域中并联的多维传导-平流热阻概念，构建了具有热容量的传导-平流热阻网络。流体域的平流热阻与温度梯度和速度的大小和方向密切相关。速度越高，平流热阻越小。同时，平流热阻中存在着“负热阻”，相当于流体域中的“热源”或“散热器”。以强制对流问题和自然对流问题为例说明该热阻分析方法的实用性。结果表明，传导-平流并联热阻网络对于分析流动与传热过程、指导传热过程的调控和优化具有重要意义。