Analytical solution to steady-state temperature field for straight-row-piped freezing based on superposition of thermal potential. (25th January 2017)

• Record Type: Journal Article
• Authors: Hu, Xiang-dong; Yu, Jin-zhu; Ren, Hui; Wang, Yang; Wang, Jin-tai
• Is Part Of: Applied thermal engineering. Volume 111(2017:Jan.)
• Page Start: 223
• Page End: 231
• Publication Date: 2017-01-25
• Subjects: Analytical solution -- Steady-state temperature field -- Straight-row-piped freezing -- Superposition of thermal potential -- Thickness of frozen soil wall; Heat engineering -- Periodicals; Heating -- Equipment and supplies -- Periodicals; Periodicals; 621.40205
• DOI: 10.1016/j.applthermaleng.2016.09.058
• Languages: English
• ISSNs: 1359-4311

Abstract

Highlights: Thermal potential superposition - viable in solving steady-state temperature field. Analytical solution to temperature field by triple-row-piped freezing is derived. The analytical solution compares very well with the computational results. Frozen soil wall thickness can be determined by measuring one point's temperature. Abstract: The existing analytical solutions to steady-state temperature field for straight row-piped freezing in artificial ground freezing cover single-piped, multi-piped, single-row-piped and double-row-piped freezing, yet they are not sufficient to meet the needs of construction projects because triple-row-piped or even multi-row-piped freezing are increasingly adopted. In this paper, the original engineering problems of the temperature field of single-piped and row-piped freezing are firstly converted to the solving of a plain Laplace equation under specified boundary conditions. Based on superposition of thermal potential, the analytical solutions to steady-state temperature field for single-piped, single-row-piped, double-row-piped freezing are deduced in succession and then the solution for triple-row-piped freezing is obtained, which is then validated through comparison with the thermal numerical analysis. Furthermore, the formula for calculating the thickness of triple-row-piped frozen soil wall is proposed, which is important in construction management of artificial ground freezing.