Mathematical models of steady-state temperature fields produced by multi-piped freezing
Xiang-dong Hu, Wang Guo, Luo-yu Zhang, Jin-tai Wang, Xue Dong
Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China; Tianjin Municipal Engineer Design & Research Institute, Tianjin 300051, China; Zhejiang Provincial Institute of Communications Planning, Design & Research, Hangzhou 310006, China; Civil and Environmental Engineering, Pennsylvania State University, University Park, PA 16802, USA
Abstract The multi-piped freezing method is usually applied in artificial ground freezing (AGF) projects to fulfill special construction requirements, such as two-, three-, or four-piped freezing. Based on potential superposition theory, this paper gives analytical solutions to steady-state frozen temperature for two, three, and four freezing pipes with different temperatures and arranged at random. Specific solutions are derived for some particular arrangements, such as three freezing pipes in a linear arrangement with equal or unequal spacing, right and isosceles triangle arrangements, four freezing pipes in a linear arrangement with equal spacing, and rhombus and rectangle arrangements. A comparison between the analytical solutions and numerical thermal analysis shows that the analytical solutions are sufficiently precise. As a part of the theory of AGF, the analytical solutions of temperature fields for multi-piped freezing with arbitrary layouts and different temperatures of freezing pipes are approached for the first time.
Xiang-dong Hu, Wang Guo, Luo-yu Zhang, Jin-tai Wang, Xue Dong. Mathematical models of steady-state temperature fields produced by multi-piped freezing. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2016, 17(9): 702-723.
