基于非稳态导热的最优热防服参数研究
Research on Optimal Thermal Protective Parameters Based on Unsteady Thermal Conduction
摘要: 本文针对多层高温热防服的设计,以热力学定律构造有内热源的多层圆筒壁非稳态导热过程,利用一维导热微分方程和第三边界条件建立基于Logistic的非稳态导热模型,结合有限差分法求解出各层间时间和空间维度的温度分布。同时将热传导非稳态特性类比电路暂态特性,利用基尔霍夫方程演化至等效电路模型,根据实际环境与防护服参数约束条件,建立非线性规划模型,结合Mathematica、Multisim等软件进行求解和验证,得到了热防服最优厚度的设计方案。
Abstract: Aiming at the design of multilayer high-temperature thermal protective clothing, this thesis constructs a non-steady-state heat conduction process of a multilayer cylinder wall with an internal heat source based on the laws of thermodynamics. A one-dimensional thermal differential equation and a third boundary condition are used to establish a non-steady-state thermal conduction model. In combination with the finite difference method, the temperature distribution in the time and space dimensions of each layer is solved. At the same time, the transient characteristics of the analog circuit of thermal conduction and non-steady-state characteristics are evolved to the equivalent circuit model by using Kirchhoff’s equation, and a nonlinear programming model is established based on the actual environment and protective clothing parameter constraints. Combined with Mathematica, Multisim and other software to solve and verify, the design scheme of the optimal thickness of heat protection suit is obtained.
文章引用:胡坤, 马宏伟, 刘雯静, 李宁, 朱芙赓, 王钲雯. 基于非稳态导热的最优热防服参数研究[J]. 计算机科学与应用, 2021, 11(5): 1390-1400. https://doi.org/10.12677/CSA.2021.115142

参考文献

[1] Guan, M. and Li, J. (2020) Garment Size Effect of Thermal Protective Clothing on Global and Local Evaporative Cooling of Walking Manikin in a Hot Environment. International Journal of Biometeorology, 64, 485-499. [Google Scholar] [CrossRef] [PubMed]
[2] 王志强, 朱家明. 基于Pdepe算法的高温作业防护服装厚度设计[J]. 淮阴师范学院学报(自然科学版), 2019, 18(3): 200-205.
[3] Torii, S. and Yang, W. (2004) Heat Transfer Mechanisms in Thin Film with Laser Heat Source. International Journal of Heat and Mass Transfer, 48, 537-544.
[4] 王宝, 朱家明. 分数阶偏微分方程求解与优化模型对高温防护服设计的计量分析[J]. 四川理工学院学报(自然科学版), 2019, 32(4): 86-93.
[5] 朱瑞超, 黄亚群, 覃亮. 系泊系统状态参数优化设计[J]. 实验科学与技术, 2019, 17(2): 46-50.
[6] Zhou, Y. and Liu, S. (2019) Improved Finite Difference Analysis of Dynamic Responses of Con-crete Members Reinforced with FRP Bars under Explosion. Composite Structures, 230, Article ID: 111518. [Google Scholar] [CrossRef
[7] 蒋俊林. 高温作业专用服装设计[J]. 艺术科技, 2019, 32(13): 108.
[8] Xu. C. (2020) Phenomenological Bifurcation in a Stochastic Logistic Model with Correlated Colored Noises. Applied Mathematics Letters, 101, Article ID: 106064. [Google Scholar] [CrossRef
[9] 姜培学, 柯道友, 任泽霈. 有内部热源的非稳态导热与自然对流换热及辐射换热耦合问题研究[J]. 计算物理, 1999, 16(3): 302-308.
[10] Huang, Y. and Chen, M. (2020) Development and Analysis of Both Finite Element and Fourth-Order in Space Finite Difference Methods for an Equivalent Berenger’s PML Model. Journal of Computational Physics, 405, Article ID: 109154. [Google Scholar] [CrossRef
[11] Lapka, P., Furmanski, P. and Wisniewski, T. (2017) Assessment of Thermal Performance of Protective Garments. International Journal of Numerical Methods for Heat & Fluid Flow, 27, 1078-1097. [Google Scholar] [CrossRef
[12] 李荣. 三层一维非金属薄膜材料热传导效应的研究[J]. 山东大学学报(理学版), 2012, 47(7): 39-43.
[13] 李矗东, 魏强, 李玉中, 黄宏虎. 基于有限差分法的大线能量焊接热模拟试件的温度分布[J]. 工业加热, 2020, 49(1): 1-4+8.
[14] Shitzer, A., Chato, J.C. and Hertig, B.A. (1973) Ther-mal Protective Garment Using Independent Regional Control of Coolant Temperature. Aerospace Medicine, 44, 49-59.