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首页> 外文期刊>Journal of Heat Transfer >Development of Analytical Solution for a Two-Phase Stefan Problem in Artificial Ground Freezing Using Singular Perturbation Theory
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Development of Analytical Solution for a Two-Phase Stefan Problem in Artificial Ground Freezing Using Singular Perturbation Theory

机译：用奇异扰动理论，在人工地面冻结中两相斯特凡问题的分析解决方案

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摘要

Artificial ground freezing (AGF) has historically been used to stabilize underground structure. Numerical methods generally require high computational power to be applicable in practice. Therefore, it is of interest to develop accurate and reliable analytical frameworks for minimizing computational cost. This paper proposes a singular perturbation solution for a two-phase Stefan problem that describes outward solidification in AGF. Specifically, the singular perturbation method separates two distinct temporal scales to capture the subcooling and freezing stages in the ground. The ground was considered as a porous medium with volume-averaged thermophysical properties. Further, Stefan number was assumed to be small, and effects of a few site-dependent parameters were investigated. The analytical solution was verified by numerical results and found to have similar conclusions yet with much lesser computational cost.
机译：人造冻结（AGF）历史地用于稳定地下结构。数值方法通常需要高计算能力在实践中适用。因此，开发准确和可靠的分析框架，以最大限度地减少计算成本。本文提出了一种描述AGF中的向外凝固的两相斯特凡问题的奇异扰动解决方案。具体地，奇异扰动方法分离两个不同的时间尺度以捕获地面中的过冷和冻结级。地面被认为是具有体积平均热物理性质的多孔介质。此外，假设Stefan数量小，并研究了几个站点依赖参数的效果。通过数值结果验证了分析溶液，发现具有相似的结论，具有更小的计算成本。

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