Generalized Analytical Solution to Steady state Temperature Field of Double row pipe Freezing
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TK124

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    Abstract:

    For the double row arrangement of freezing pipes in artificial ground freezing, Bakholdin gave an analytical solution to the steady state temperature field. However, the solution only aimed at the inline and general staggered arrangements, which could not meet practical requirements. For irregular arrangements of freezing pipes in engineering practice, in this paper, a generalized analytical solution to the steady state temperature field of double row pipe freezing was proposed. First, based on the separability of boundary conditions for harmonic equations, a special single row pipe freezing problem was solved by superposition of the Bakholdin’s single row pipe solution and the linear temperature field solution. Then, the generalized analytical solution to the steady state temperature field was derived for double row pipe freezing in irregular arrangements according to the special single row pipe solution. Comparison of the analytical solution with the numerical thermal analysis shows that the analytical solution is precise enough, and the experimental results of physical model indicates that the analytical solution meets the accuracy requirement in engineering.

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HU Xiangdong, HAN Yanguang, YU Xingfu. Generalized Analytical Solution to Steady state Temperature Field of Double row pipe Freezing[J].同济大学学报(自然科学版),2015,43(3):0386~0391

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History
  • Received:December 05,2013
  • Revised:December 23,2014
  • Adopted:December 01,2014
  • Online: March 18,2015
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