Abstract Based on the theory of analogy between thermal and hydraulic problems,using the superposition of potential function in hydraulics,this paper proved the existing analytical solutions of temperature field for the single-piped,single-row-piped and double-row-piped frozen soil walls. Further by using the coefficient of coverage,an analytical solution of three-row-piped frozen temperature field was also worked out. Comparison of the analytical solution with the numerical thermal analysis shows that the analytical solution is precise enough and will afford some new thoughts in working out the analytical solution of multi-row-piped frozen temperature field,as well as some reasonable guidance in three-row pipe freezing projects.
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Received: 29 September 2011
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