Comparison of solving methods of interfacial heat transfer coefficient for shell ring quenching

doi:10.13251/j.issn.0254-6051.2023.10.043

Abstract

Abstract: Shell ring of pressure vessel was taken as a research subject. Based on the heat conduction equation for a hollow cylinder, direct method of temperature difference and temperature iteration method were proposed and a mathematical model for heat transfer coefficient was established. Through the tested temperature cooling curves, change curves of interfacial hear transfer coefficient with quenching time were calculated by using temperature iteration method and direct method of temperature difference. By simulating the temperature field and comparing the tested and simulated results, the reliability of direct method of temperature difference was verified, and the difference of accuracy between two methods was analyzed. The results show that the error percentage of two methods between the tested and simulated values are within 18%, and the direct method of temperature difference is more accurate than the temperature iteration method.

Key words: heat transfer coefficient, shell ring, quenching, direct method of temperature difference, temperature iteration method, inverse heat transfer problem

CLC Number:

TG156.34

Jiang Zhuling, Zhang Wanliang, Xia Bin. Comparison of solving methods of interfacial heat transfer coefficient for shell ring quenching[J]. Heat Treatment of Metals, 2023, 48(10): 279-284.

References

[1]王葛, 朱国善, 高静娜, 等. 4130X钢大直径厚壁压力气瓶喷水淬火数值模拟[J]. 材料热处理学报, 2015, 36(7): 250-256.
Wang Ge, Zhu Guoshan, Gao Jingna, et al. Numerical simulation of flow and temperature fields in spray quenching process of large-diameter thick-walled 4130X steel gas cylinder[J]. Transactions of Materials and Heat Treatment, 2015, 36(7): 250-256.
[2]王凯, 石伟, 王罡. 基于有限元模拟的换热系数计算方法[J]. 材料热处理学报, 2018, 39(10): 112-118, 132.
Wang Kai, Shi Wei, Wang Gang. Calculation method of heat transfer coefficient based on finite element simulation[J]. Transactions of Materials and Heat Treatment, 2018, 39(10): 112-118, 132.
[3]Alex Stéphane Bongo Njeng, Stéphane Vitu, Clausse Marc, et al. Wall-to-solid heat transfer coefficient in flighted rotary kilns: Experimental determination and modeling[J]. Experimental Thermal and Fluid Science, 2018, 91: 197-213.
[4]Bouissa Y, Shahriari D, Champliaud H, et al. Prediction of heat transfer coefficient during quenching of large size forged blocks using modeling and experimental validation[J]. Case Studies in Thermal Engineering, 2019, 13: 100379.
[5]Onyango T, Ingham D B, Lesnic D. Inverse reconstruction of boundary condition coefficients in one-dimensional transient heat conduction[J]. Applied Mathematics and Computation, 2009, 207(2): 569-575.
[6]Maciejewska B, StraK K, Piasecka M. The solution of a two-dimensional inverse heat transfer problem using the Trefftz method[J]. Procedia Engineering, 2016, 157: 82-88.
[7]顾剑锋, 潘健生, 胡明娟. 淬火冷却过程中表面综合换热系数的反传热分析[J]. 上海交通大学学报, 1998, 32(2): 19-22.
Gu Jianfeng, Pan Jiansheng, Hu Mingjuan. Inverse heat conduction analysis of synthetical surface heat transfer coefficient during quenching process[J]. Journal of Shanghai Jiao Tong University, 1998, 32(2): 19-22.
[8]徐戎, 李落星. 介质流量密度对铝合金喷射淬火界面热交换率的影响规律及机理[J]. 金属热处理, 2022, 47(2): 243-249.
Xu Rong, Li Luoxing. Influence law and mechanism of medium flow density on heat exchange rate of jet quenching interface of aluminum alloy[J]. Heat Treatment of Metals, 2022, 47(2): 243-249.
[9]徐戎, 李落星, 王震虎. 铝合金水射流参数对淬火界面传热行为的影响[J]. 金属热处理, 2019, 44(8): 246-252.
Xu Rong, Li Luoxing, Wang Zhenhu. Effect of water jet parameters on heat transfer behavior at quenching interface of aluminum alloy[J]. Heat Treatment of Metals, 2019, 44(8): 246-252.
[10]隋佳丽, 李新生, 肖桂勇, 等. 淬火介质表面换热系数的计算方法与应用[J]. 热加工工艺, 2023, 52(14): 137-141.
Sui Jiali, Li Xinsheng, Xiao Guiyong, et al. Calculation method and application of surface heat transfer coefficient of quenching medium[J]. Hot Working Technology, 2023, 52(14): 137-141.
[11]曹瑞, 孙会. 淬火过程数值模拟技术的研究进展[J]. 材料导报, 2015, 29(5): 140-144.
Cao Rui, Sun Hui. Progress of research on numerical simulation of quenching process[J]. Materials Review, 2015, 29(5): 140-144.
[12]牛山廷, 赵国群, 李辉平. 淬火冷却过程三维反传热有限元分析中优化方法对计算效率的影响[J]. 中国机械工程, 2006, 17(S1): 318-322.
Niu Shanting, Zhao Guoqun, Li Huiping. Study on the influence of optimization methods on the computation efficiency in inverse heat conduction analysis with 3D FEM during quenching process[J]. China Mechanical Engineering, 2006, 17(S1): 318-322.
[13]李自良, 王利, 刘美红, 等. 雾化气体淬火过程换热系数的计算及实验研究[J]. 热加工工艺, 2016, 45(16): 203-207.
Li Ziliang, Wang Li, Liu Meihong, et al. Calculation and experimental research of heat transfer coefficient in atomized gas quenching process[J]. Hot Working Technology, 2016, 45(16): 203-207.

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