Abstract Analytical solutions for temperatures in an infinite region bounded internally by a cylinder have proved to be useful for thermal analysis of heat-producing nuclear waste disposal scenarios where the thermal design criteria are peak temperatures. The practicality of an analytical solution for the temperature of the host rock used in forced-ventilation thermal analyses has been illustrated by a computational time of a few seconds. Prior to the use of an analytical temperature solution for the host rock, the computation time was on the order of hours. However, the published analytical temperature solution for the infinite region bounded internally by a cylinder with constant heat flux applied at the cylinder wall does not satisfy the boundary condition. This temperature solution is shown to be correct herein with respect to temperature predictions derived from a solution that does satisfy the boundary condition.

中文翻译：

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无限区域循环系统传热解析解描述热衰变核废料处置温度的实用性

摘要 以圆柱为内部边界的无限区域温度的解析解已被证明可用于热设计标准为峰值温度的发热核废料处置场景的热分析。几秒钟的计算时间说明了强制通风热分析中使用的主岩温度解析解的实用性。在对主岩使用分析温度解决方案之前，计算时间约为数小时。然而，已发布的无限区域的解析温度解不满足边界条件，该无限区域由一个圆柱体在内部约束，该圆柱体在圆柱壁上施加恒定的热通量。