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Abstract <p>The authors obtained an analytical time law of freeze pipe temperature which ensures the constant thickness of a frozen wall at the stage of passive freezing. The time law is established using the equation of balance of heat flows at the phase interface. The correctness of the mathematical expression is proved by numerical modeling of freezing of a siltstone layer typical of conditions of shaft sinking in potash mines. The results are applicable in planning energy-efficient operating regimes of freeze pipes during passive freezing.</p>

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Temperature Control of Freeze Pipe for Maintaining Thickness of Frozen Wall

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • M. A. Semin,
  • A. A. Dun’kina

摘要

Abstract

The authors obtained an analytical time law of freeze pipe temperature which ensures the constant thickness of a frozen wall at the stage of passive freezing. The time law is established using the equation of balance of heat flows at the phase interface. The correctness of the mathematical expression is proved by numerical modeling of freezing of a siltstone layer typical of conditions of shaft sinking in potash mines. The results are applicable in planning energy-efficient operating regimes of freeze pipes during passive freezing.