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基于积分变换方法的含热源海底单层管瞬态导热研究

朱晓青 何杨烨 苏健

朱晓青, 何杨烨, 苏健. 基于积分变换方法的含热源海底单层管瞬态导热研究[J]. 应用数学和力学, 2026, 47(8): 1045-1059. doi: 10.21656/1000-0887.460114
引用本文: 朱晓青, 何杨烨, 苏健. 基于积分变换方法的含热源海底单层管瞬态导热研究[J]. 应用数学和力学, 2026, 47(8): 1045-1059. doi: 10.21656/1000-0887.460114
Zhu Xiaoqing, He Yangye, Su Jian. Transient Heat Conduction Analysis on Subsea Single-Layer Pipes Under Internal Heat Sources With the Integral Transform Method[J]. Applied Mathematics and Mechanics, 2026, 47(8): 1045-1059. doi: 10.21656/1000-0887.460114
Citation: Zhu Xiaoqing, He Yangye, Su Jian. Transient Heat Conduction Analysis on Subsea Single-Layer Pipes Under Internal Heat Sources With the Integral Transform Method[J]. Applied Mathematics and Mechanics, 2026, 47(8): 1045-1059. doi: 10.21656/1000-0887.460114

基于积分变换方法的含热源海底单层管瞬态导热研究

doi: 10.21656/1000-0887.460114
基金项目: 

中国石油大学(北京)基金资助项目(2462023QNXZ007)

详细信息
    作者简介:

    朱晓青(1997—),女,博士生(E-mail: xiaoqing_zhucup@163.com);何杨烨(1991—),女,副教授,博士,博士生导师(通信作者. E-mail: yangyehe@cup.edu.cn).

    通讯作者:

    何杨烨(1991—),女,副教授,博士,博士生导师(通信作者. E-mail: yangyehe@cup.edu.cn).

  • 中图分类号: O241.82

Transient Heat Conduction Analysis on Subsea Single-Layer Pipes Under Internal Heat Sources With the Integral Transform Method

  • 摘要: 海洋输送高温油气的管道受管内流体对流换热及内部热源的影响,其管体温度升高,热量也会从管壁面传递到外部低温海水中,在管道径向及轴向形成温度梯度.本研究采用积分变换方法,对非齐次边界条件下且含热源的轴对称单层管进行二维瞬态热传导分析.首先,将二维瞬态温度表示为含热源的轴对称一维稳态、滤波齐次二维稳态及滤波均质二维瞬态温度的组合,并对其进行无量纲处理.其次,依据分离变量方法确定径向、轴向的积分变换对,对热传导控制方程及边界条件、初始条件进行积分变换处理,分离瞬态温度的时间和空间依赖性,得到关于时间的一阶线性常微分方程组.最后,通过积分变换对的逆变换确定二维瞬态温度分布的理论解,并将二维瞬态温度分布与稳态温度分布结果对比验证.在此基础上,研究不同内外Biot数(Bi)组合、不同热源强度G对管道温度分布的影响.结果表明:内外Biot数组合相同且热源强度大的,管道时空维度上的温度梯度及温度值均较大;热源强度相同但内外Biot数组合不同时,时空维度上的温度梯度和整体温度分布存在差异;在径向方向和时间维度上,不同内外Biot数组合的温度分布曲线存在交点,其温度梯度和温度值相对大小在该点发生变化,但在轴向方向上没有出现该现象.
  • Azadi Mohammad, Azadi Mohboobeh. Nonlinear transient heat transfer and thermoelastic analysis of thick-walled FGM cylinder with temperature-dependent material properties using Hermitian transfinite element[J].Journal of Mechanical Science and Technology,2009,23(10): 2635-2644.
    [2]Dai H L, Luo W F, Liu H B. Thermoviscoelastic dynamic behavior of a double-layered hollow cylinder under thermal shocking[J].Journal of Thermal Stresses,2015,38(8): 934-958.
    [3]张进, 段梦兰, 安晨. 停输状态下相变材料夹层管道保温性能分析[J]. 石油机械, 2020,48(2): 57-65.(Zhang Jin, Duan Menglan, An Chen. Analysis of the thermal insulation performance of phase change material sandwich pipeline under shutdown condition[J].China Petroleum Machinery,2020,48(2): 57-65. (in Chinese))
    [4]吴峰. 周期性边界条件下管道传热规律数值研究[J]. 油气储运, 2009,28(10): 26-29.(Wu Feng. Numerical study on heat transfer law for buried pipeline under cyclical boundary condition[J].Oil & Gas Storage and Transportation,2009,28(10): 26-29. (in Chinese))
    [5]闫思江, 杨金凯, 赵剑波. 供热管道热损失有限元分析[J]. 河南科学, 2013,31(9): 1432-1434.(Yan Sijiang, Yang Jinkai, Zhao Jianbo. Finite element analysis on heat loss of the thermal pipelines[J].Henan Science,2013,31(9): 1432-1434. (in Chinese))
    [6]许丹, 申龙涉, 杜明俊, 等. 埋地热油管道停输三维非稳态传热过程的数值模拟[J]. 辽宁石油化工大学学报, 2010,30(4): 47-50.(Xu Dan, Shen Longshe, Du Mingjun, et al. Numerical simulation of three-dimensional unsteady-state heat transfer for buried hot oil pipeline at shutdown[J].Journal of Liaoning University of Petroleum & Chemical Technology,2010,30(4): 47-50. (in Chinese))
    [7]刘学治. 海底热油管道运行传热规律计算研究[J]. 通用机械, 2018(1): 30-32.(Liu Xuezhi. Study on heat transfer characteristics of submarine hot oil pipelines in operation[J].General Machinery,2018(1): 30-32. (in Chinese))
    [8]刘金梅, 张国威, 周国强, 等. 高温输气管道热-结构耦合数值仿真分析[J]. 中国工程机械学报, 2015,13(4): 358-362.(Liu Jinmei, Zhang Guowei, Zhou Guoqiang, et al. Numerical simulation analysis on thermal-structural coupling for high-temperature gas pipelines[J].Chinese Journal of Construction Machinery,2015,13(4): 358-362. (in Chinese))
    [9]潘红良. 伴热管道传热性能的有限元分析[J]. 油气储运, 2004,23(10): 12-16.(Pan Hongliang. FEM analysis for heat transfer characteristics of heating tracer[J].Oil & Gas Storage and Transportation,2004,23(10): 12-16. (in Chinese))
    [10]崔晓龙, 吴国忠, 万妮丽. 非稳态环境对埋地管道传热的影响[J]. 油气储运, 2003(7): 11-13.(Cui Xiaolong, Wu Guozhong, Wan Nili. The study on heat transfer of buried pipeline under the unsteady environment temperature[J].Oil & Gas Storage and Transportation,2003(7): 11-13. (in Chinese))
    [11]Zare M, Kardan F. Analytical solution based on a new series along with the numeric solution of the non-homogeneous transient heat conduction equation, in hollow cylinder under general mixed boundary conditions[J].American Journal of Engineering and Applied Sciences,2018,11(2): 538-547.
    [12]Napar’in Y A. The temperature field in a hollow cylinder due to a source moving along a helix[J].Journal of Engineering Physics,1971,20: 116-117.
    [13]Yu J H, An C, Tang Q S, et al. Heat transfer characteristics of subsea long-distance pipeline subject to direct electrical heating[J].Geoenergy Science and Engineering,2024,234: 212679.
    [14]Ozisik M N.Heat Conduction[M]. 2nd ed. New York: John Wiley & Sons, 1993: 543-544.
    [15]Li M, Lai A C K. Analytical solution to heat conduction in finite hollow composite cylinders with a general boundary condition[J].International Journal of Heat and Mass Transfer,2013,60: 549-556.
    [16]Nekoo S R. Exact solution for heat conduction problem of a sector of a hollow cylinder[J].American Journal of Mechanical Engineering,2013,1(2): 50-57.
    [17]Can N, Keles I. A practical jointed approach to transient hyperbolic heat conduction of FGM cylinders and spheres[J].Journal of Mechanical Science and Technology,2023,37(3): 1223-1231.
    [18]Abouelregal A E. Thermoelastic interaction in an infinite long hollow cylinder with fractional heat conduction equation[J].Advances in Applied Mathematics and Mechanics,2017,9(2): 378-392.
    [19]Su J, de Castro A C R. Improved hybrid solution of conjugate heat transfer of laminar convection in ducts with axial wall conduction[C]//Proceedings of HT〖STBX〗2003 ASME Summer Heat Transfer Conference.Las Vegas, Nevada, USA, 2003: HT2003-47019.
    [20]An C, Su J. Dynamic response of axially moving Timoshenko beams: integral transform solution[J].Applied Mathematics and Mechanics,2014,35(11): 1421-1436.
    [21]An C, Su J. Dynamic response of clamped axially moving beams: integral transform solution[J].Applied Mathematics and Computation,2011,218(2): 249-259.
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出版历程
  • 收稿日期:  2025-06-04
  • 修回日期:  2025-07-30
  • 网络出版日期:  2026-07-30
  • 刊出日期:  2026-08-01

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