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主动冷却点阵夹层防热结构温度响应计算模型

彭世彬 郭瑞 冯上升 金峰

彭世彬,郭瑞,冯上升,金峰. 主动冷却点阵夹层防热结构温度响应计算模型 [J]. 应用数学和力学,2022,43(5):477-489 doi: 10.21656/1000-0887.420405
引用本文: 彭世彬,郭瑞,冯上升,金峰. 主动冷却点阵夹层防热结构温度响应计算模型 [J]. 应用数学和力学,2022,43(5):477-489 doi: 10.21656/1000-0887.420405
PENG Shibin, GUO Rui, FENG Shangsheng, JIN Feng. A Calculation Model for Temperature Responses of Active Cooling Lattice Sandwich Structures for Thermal Protection[J]. Applied Mathematics and Mechanics, 2022, 43(5): 477-489. doi: 10.21656/1000-0887.420405
Citation: PENG Shibin, GUO Rui, FENG Shangsheng, JIN Feng. A Calculation Model for Temperature Responses of Active Cooling Lattice Sandwich Structures for Thermal Protection[J]. Applied Mathematics and Mechanics, 2022, 43(5): 477-489. doi: 10.21656/1000-0887.420405

主动冷却点阵夹层防热结构温度响应计算模型

doi: 10.21656/1000-0887.420405
基金项目: 国家自然科学基金(51676156);国家重点研发计划(2017YFB1102801)
详细信息
    作者简介:

    彭世彬(1997—),男,硕士(E-mail:psb315@stu.xjtu.edu.cn

    冯上升(1984—),男,副教授,博士,硕士生导师(通讯作者. E-mail:shangshengfeng@xjtu.edu.cn

    金峰(1968—),男,教授,博士,博士生导师(通讯作者. E-mail:jinzhao@mail.xjtu.edu.cn

  • 中图分类号: TK124; O342

A Calculation Model for Temperature Responses of Active Cooling Lattice Sandwich Structures for Thermal Protection

  • 摘要:

    针对点阵夹层结构主动热防护问题,建立了夹层结构面板和芯体导热与冷却剂对流耦合的非稳态传热理论模型,利用有限体积法离散控制方程并在MATLAB中进行了迭代求解。模型首次考虑了面板与夹芯杆之间的收缩热阻,并利用分离变量法得到了收缩热阻的近似解析解。基于单胞模型和周期性边界条件,模拟得到了模型所需的表面对流传热系数hbhfin。最后,选取多单胞计算工况进行数值模拟和理论模型对比,并讨论了收缩热阻对模型预测精度的影响。结果表明:理论模型能够准确预测夹层结构及内部流体的温度变化,理论与仿真之间的最大误差不超过1%;随着外加热流密度不断增大,忽略收缩热阻使得计算结果造成的误差不断增大;与数值模拟相比,理论模型可显著地减少计算时间并节省计算资源,尤其适用于非均匀、非稳态复杂热载荷下点阵夹层结构的温度响应计算。

  • 图  1  金字塔型点阵金属夹芯结构的强制对流换热示意图

    Figure  1.  Schematic of forced convection heat transfer through the pyramidal lattice metal sandwich structure

    图  2  点阵夹层结构及内部流体的离散示意图

    Figure  2.  Discretization of the lattice sandwich structure with internal fluid

    图  3  周期性流动传热数值模拟:(a) 计算域及边界条件;(b) 网格

    Figure  3.  Numerical simulation of periodic flow and heat transfer: (a) the computational domain and boundary conditions; (b) the mesh

    图  4  不同Red下,夹芯杆表面的对流换热系数

    Figure  4.  Heat transfer coefficients on the surface of lattice struts under different Red values

    图  5  求解收缩热阻的等效模型

    Figure  5.  The equivalent model for solving the constriction thermal resistance

    图  6  含多个单胞点阵夹层结构数值模拟计算域及边界条件

    Figure  6.  The numerical simulation domain and boundary conditions for the multi-cell lattice sandwich structure

    图  7  加热面平均温度随网格数量的变化曲线

    Figure  7.  The variation of the average temperature of heating surface with the number of meshes

    图  8  RLV再入过程中表面的入射热通量随时间的变化曲线

    Figure  8.  The incident heat flux profile vs. the re-entry time on the RLV surface

    图  9  结构最大温度与流体出口温度的变化曲线:(a) 结构最大温度;(b) 流体出口温度

    Figure  9.  Variations of the maximum temperature of the sandwich structure and the outlet fluid temperature with time: (a) the maximum temperature of the sandwich structure; (b) the outlet fluid temperature

    图  10  不同热流密度下结构的最大温度

    Figure  10.  The maximum temperature of the structure under different heat flux densities

    图  11  不同流体进口速度下收缩热阻随导热率的变化曲线

    Figure  11.  Variations of the constriction thermal resistance with the thermal conductivity under different inlet fluid velocities

    图  12  不同流体进口速度下收缩热阻随面板厚度的变化曲线

    Figure  12.  Variations of the constriction thermal resistance with the facesheet thickness under different inlet fluid velocities

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出版历程
  • 收稿日期:  2021-12-24
  • 修回日期:  2022-02-25
  • 网络出版日期:  2022-04-08
  • 刊出日期:  2022-05-15

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