Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil-Pipe System in Cryolithic Zone

被引：1
|
作者：
Vasil'ev, V., I [1 ]
Vasil'eva, M. V. [1 ]
Nikiforov, D. Ya [1 ]
Sidnyaev, N., I [2 ]
Stepanov, S. P. [1 ]
Tseeva, A. N. [3 ]
机构：
[1] North Eastern Fed Univ, Yakutsk 677000, Russia
[2] Bauman State Tech Univ, Moscow 105005, Russia
[3] Yakutsk Design Res Inst Construct, Yakutsk 677000, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2021年 / 61卷 / 12期
基金：
俄罗斯科学基金会;
关键词：
cryolithic zone; heat and mass transfer; Stefan problem; finite element method; computational algorithm; DISCRETE-FRACTURE MODEL; FINITE-ELEMENT-METHOD; FLOW;
D O I：
10.1134/S0965542521120162
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mathematical model of heat transfer between the permafrost foundation of a building with a system of freezing pipes and atmospheric air is constructed and numerically implemented. As a mathematical model of heat transfer in the building foundation, the Stefan problem in the enthalpy statement with smoothed coefficients and a smeared temperature source is used. The heat transfer in the system of pipes is described by a one-dimensional convection-conduction equation. Numerical results obtained on model problems showed that the proposed numerical method significantly reduces the computational complexity of the problem.
引用
收藏
页码：2054 / 2067
页数：14
相关论文
共 32 条
  • [1] Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil–Pipe System in Cryolithic Zone
    V. I. Vasil’ev
    M. V. Vasil’eva
    D. Ya. Nikiforov
    N. I. Sidnyaev
    S. P. Stepanov
    A. N. Tseeva
    Computational Mathematics and Mathematical Physics, 2021, 61 : 2054 - 2067
  • [2] A three dimensional contact model for soil-pipe interaction
    Rubio, Nelly Piedad
    Roehl, Deane
    Romanel, Celso
    JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2007, 2 (08) : 1501 - 1513
  • [3] Model of heat and mass transfer in the heating system pipe
    Kaledin, V. O.
    Viachkin, E. S.
    Gileva, A. E.
    Viachkina, E. A.
    Galgin, D. A.
    Ulyanov, A. D.
    XXXV SIBERIAN THERMOPHYSICAL SEMINAR, 2019, 2019, 1382
  • [4] Implementation of Mass Transfer Model on Parallel Computational System
    Pavlus, Miron
    Bacinsky, Tomas
    Gregus, Michal
    ADVANCES IN NETWORK-BASED INFORMATION SYSTEMS, NBIS-2018, 2019, 22 : 453 - 463
  • [5] Three dimensional heat transfer model and experimental analysis of U-pipe heat exchanger
    Department of Thermal Engineering, School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
    Taiyangneng Xuebao, 2006, 1 (63-66):
  • [6] Three-dimensional transient mathematical model to predict the heat transfer rate of a heat pipe
    Boothaisong, S.
    Rittidech, S.
    Chompookham, T.
    Thongmoon, M.
    Ding, Y.
    Li, Y.
    ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (02): : 1 - 11
  • [7] Hydrothermal coupling model of a riparian zone considering heterogeneous heat transfer of soil
    Zhang W.
    Shen Z.
    Ren J.
    Xu L.
    Zhou C.
    Yang J.
    Shuikexue Jinzhan/Advances in Water Science, 2022, 33 (01): : 123 - 134
  • [8] Three-Dimensional Model of Soil Water and Heat Transfer in Orchard Root Zone under Water Storage Pit Irrigation
    Su, Yuanyuan
    Guo, Xianghong
    Lei, Tao
    Zheng, Lijian
    Ma, Juanjuan
    Sun, Xihuan
    Hao, Linru
    Hu, Feipeng
    WATER, 2022, 14 (11)
  • [9] 3-DIMENSIONAL TRANSIENT HEAT-TRANSFER FROM A BURIED PIPE .3. COMPREHENSIVE MODEL
    HASTAOGLU, MA
    NEGIZ, A
    HEIDEMANN, RA
    CHEMICAL ENGINEERING SCIENCE, 1995, 50 (16) : 2545 - 2555
  • [10] One dimensional fast computational partial differential model for heat transfer in lithium-ion batteries
    Mevawalla, A.
    Panchal, S.
    Tran, M. -K.
    Fowler, M.
    Fraser, R.
    JOURNAL OF ENERGY STORAGE, 2021, 37
1234