Study on heat transfer of jets from twin nozzles impinging on high-speed rotating disk
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摘要:
为了分析射流温度、圆盘转速、射流流量和盘面温度对旋转圆盘传热的影响规律，采用数值模拟方法研究了双喷口滑油射流冲击高速旋转圆盘的两相流动及传热特性。结果表明：射流温度从323 K升高到423 K，使得面平均努塞尔数增大了28.54%；当盘面转速由
4000 r/min提高到10000 r/min时，面平均努塞尔数随着转速的提升减小了10.61%，但转速对有效传热面积的影响是有限的，故在12000 r/min的工况下面平均努塞尔数回升；射流流量的增大有效提高了圆盘上油膜的流速，随着射流流量由0.5 L/min增大到2.5 L/min，面平均努塞尔数增大152.06%；随着盘面温度由423 K升高到723 K，使得圆盘表面同一位置的传热效果明显增强，面平均努塞尔数增大117.34%。最后，基于射流雷诺数、旋转雷诺数和普朗特数，建立了面平均努塞尔数的无量纲关联式。Abstract:To analyze the influences of jet temperature, disk rotating speed, jet flow and disk temperature on the heat transfer of rotating disk, the two-phase flow and heat transfer characteristics of the lubricating oil jets from the twin nozzles impinging on a high-speed rotating disk were studied by numerical simulation. The results showed that the jet temperature increased from 323 K to 423 K, which increased the average Nusselt number by 28.54%. When the rotational speed of the disk surface increased from 4 000 r/min to 10 000 r/min, the average Nusselt number of the surface decreased by 10.61% with the increase of the rotational speed, but the influence of the rotational speed on the effective heat transfer area was limited. Therefore, the average Nusselt number rose again under the condition of 12 000 r/min. The increase of the jet flow rate effectively increased the flow rate of the oil film on the disc. As the jet flow rate increased from 0.5 L/min to 2.5 L/min, the average Nusselt number increased by 152.06%. As the temperature of the disk surface increased from 423 K to 723 K, the heat transfer effect at the same position on the disk surface was significantly enhanced, and the average Nusselt number on the surface increased by 117.34%. Finally, based on the jet Reynolds number, rotational Reynolds number and Prandtl number, the dimensionless correlation of the surface average Nusselt number was established.
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Key words:
- impinging jet /
- convective heat transfer /
- two-phase flow /
- rotating disk /
- oil film
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图 1 双喷口射流冲击高速旋转圆盘示意图
Figure 1. Schematic diagram of the jets from the twin nozzles impinging on a high-speed rotating disk
图 2 三维计算域及网格细节
Figure 2. Three-dimensional numerical calculation domain and detail of the grids
图 3 周向平均努塞尔数的实验与数值计算结果
Figure 3. Experimental and numerical results of circumferential average Nusselt numbers
图 4 不同射流温度下盘面油膜厚度分布
Figure 4. Oil film thickness distribution on the disk surface at different jet temperatures
图 5 不同射流温度下盘面努塞尔数分布
Figure 5. Nusselt number distribution on the disk surface at different jet temperatures
图 6 不同射流温度下周向平均努塞尔数径向分布
Figure 6. Radial distribution of the circumferential average Nusselt number at different jet temperatures
图 7 面平均努塞尔数随射流温度变化
Figure 7. Average Nusselt number of the surface with jet temperatures
图 8 不同转速下盘面油膜厚度分布
Figure 8. Oil film thickness distribution on the disk surface at different rotating speeds
图 9 不同转速下盘面努塞尔数分布
Figure 9. Nusselt number distribution on the disk surface at different rotating speeds
图 10 不同转速下周向平均努塞尔数径向变化
Figure 10. Radial distribution of the circumferential average Nusselt number at different rotating speeds
图 11 面平均努塞尔数随转速变化
Figure 11. Average Nusselt number of the surface with rotating speeds
图 12 不同流量下盘面油膜厚度
Figure 12. Oil film thickness distribution on the disk surface at different jet flows
图 13 不同流量下盘面努塞尔数分布
Figure 13. Nusselt number distribution on the disk surface at different jet flows
图 14 不同流量下周向平均努塞尔数径向变化
Figure 14. Radial distribution of the circumferential average Nusselt number at different jet flows
图 16 不同盘面温度下盘面油膜厚度分布
Figure 16. Oil film thickness distribution on the disk surface at different disk temperatures
图 17 不同盘面温度下盘面努塞尔数分布
Figure 17. Nusselt number distribution on the disk surface at different disk temperatures
图 18 不同盘面温度下周向平均努塞尔数径向变化
Figure 18. Radial distribution of the circumferential average Nusselt number at different disk temperatures
图 19 面平均努塞尔数随盘面温度变化
Figure 19. Average Nusselt number of the surface with disk temperatures
图 20 拟合关联式与数值计算结果对比
Figure 20. Comparison of the fitted correlation formula and the numerical calculation results
表 1 射流流量、圆盘转速、射流温度和盘面温度的范围
Table 1. Range of jet flow, rotating speed, jet temperature and disk temperature
参数 数值范围 射流流量/（L/min） 0.5～2 转速/（r/min） 4000 ～12000 射流温度/K 373～423 盘面温度/K 423～723 
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表 2 网格无关性验证
Table 2. Grid-independent validation
序号 网格数/104 盘面热流密度/（W/m2） 1 332 84538.5 2 401 84008.5 3 484 85472.0 4 550 83410.9
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表 3 工况数据
Table 3. Working conditions
工况 射流
温度/K转速/
（r/min）射流流量/
（L/min）盘面
温度/KRej Reω Pr $ \overline {Nu} $ 1 323 8000 2 573 882.740 4128965.330 69.309 1665.230 2 348 8000 2 573 1765.480 4128965.330 69.309 1715.613 3 398 8000 2 573 2648.221 4128965.330 69.309 1796.705 4 423 8000 2 573 3530.961 4128965.330 69.309 1804.672 5 373 8000 2 573 4413.701 4128965.330 69.309 1732.046 6 373 4000 2 573 3530.961 2064482.665 69.309 1926.301 7 373 6000 2 573 3530.961 3096723.997 69.309 1789.186 8 373 10000 2 573 3530.961 5161206.662 69.309 1720.988 9 373 12000 2 573 3530.961 6193447.995 69.309 1771.053 10 373 8000 0.5 573 1070.829 3393300.709 202.617 783.087 11 373 8000 1 573 1981.678 3701087.079 116.335 1202.264 12 373 8000 1.5 573 5362.286 4672852.525 48.414 1526.698 13 373 8000 2.5 573 6661.443 5182803.737 41.323 1973.855 14 373 8000 2 423 3530.961 2375445.767 69.309 1268.454 15 373 8000 2 498 3530.961 3162353.298 69.309 1453.254 16 373 8000 2 648 3530.961 5246779.009 69.309 2168.015 17 373 8000 2 723 3530.961 9367587.055 69.309 2756.184
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[1] 徐伟鹏. 航空发动机轴承腔热防护与喷射冷却研究[D]. 西安: 西北工业大学, 2020. XU Weipeng. Investigation on thermal protection and jet cooling of bearing chamber of aero-engine[D]. Xi’an: Nothwestern Polytechnical University, 2020. (in ChineseXU Weipeng. Investigation on thermal protection and jet cooling of bearing chamber of aero-engine[D]. Xi’an: Nothwestern Polytechnical University, 2020. (in Chinese) [2] 林基恕, 张振波. 21世纪航空发动机动力传输系统的展望[J]. 航空动力学报, 2001, 16(2): 108-114, 118. LIN Jishu, ZHANG Zhenbo. Prospects of aeroengine power transmission system in the 21st century[J]. Journal of Aerospace Power, 2001, 16(2): 108-114, 118. (in ChineseLIN Jishu, ZHANG Zhenbo. Prospects of aeroengine power transmission system in the 21st century[J]. Journal of Aerospace Power, 2001, 16(2): 108-114, 118. (in Chinese) [3] GOLDSTEIN R J, FRANCHETT M E. Heat transfer from a flat surface to an oblique impinging jet[J]. Journal of Heat Transfer, 1988, 110(1): 84-90. doi: 10.1115/1.3250477 [4] CARPER H J Jr, DEFFENBAUGH D M. Heat transfer from a rotating disk with liquid jet impingement[R]. Toronto: Proceedings of the 6th International Heat Transfer Conference, 1978. [5] CARPER H, SAAVEDRA J J, SUWANPRATEEP T. Liquid jet impingement cooling of a rotating disk[J]. Journal of Heat Transfer, 1986, 108(3): 540-546. doi: 10.1115/1.3246968 [6] HOSAIN M L, BEL FDHILA R, DANERYD A. Heat transfer by liquid jets impinging on a hot flat surface[J]. Applied Energy, 2016, 164: 934-943. doi: 10.1016/j.apenergy.2015.08.038 [7] METZGER D E, GROCHOWSKY L D. Heat transfer between an impinging jet and a rotating disk[J]. Journal of Heat Transfer, 1977, 99(4): 663-667. doi: 10.1115/1.3450761 [8] OZAR B, CETEGEN B M, FAGHRI A. Experiments on heat transfer in a thin liquid film flowing over a rotating disk[J]. Journal of Heat Transfer, 2004, 126(2): 184-192. doi: 10.1115/1.1652044 [9] LALLAVE J C, RAHMAN M M, KUMAR A. Numerical analysis of heat transfer on a rotating disk surface under confined liquid jet impingement[J]. International Journal of Heat and Fluid Flow, 2007, 28(4): 720-734. doi: 10.1016/j.ijheatfluidflow.2006.09.005 [10] RAHMAN M M, LALLAVE J C. Transient conjugate heat transfer during free liquid jet impingement on a rotating solid disk[J]. Numerical Heat Transfer, Part A: Applications, 2009, 55(3): 229-251. doi: 10.1080/10407780802628987 [11] LALLAVE J, RAHMAN M. Numerical simulation of transient thermal transport on a rotating disk under partially confined laminar LiquidJet impingement[J]. Journal of Heat Transfer, 2010, 132(5): 052201. doi: 10.1115/1.4000442 [12] AHMED Z U, AL-ABDELI Y M. Temperature uniformity, correlations and the flow field in swirling impinging jets[J]. Journal of Thermal Science, 2023, 32(2): 662-679. doi: 10.1007/s11630-023-1740-z [13] 宛鹏翔, 范俊, 韩省思, 等. 冲击射流流动换热超大涡模拟研究[J]. 推进技术, 2020, 41(10): 2237-2247. WAN Pengxiang, FAN Jun, HAN Xingsi, et al. Very-large eddy simulation of impinging jet flow and heat transfer[J]. Journal of Propulsion Technology, 2020, 41(10): 2237-2247. (in ChineseWAN Pengxiang, FAN Jun, HAN Xingsi, et al. Very-large eddy simulation of impinging jet flow and heat transfer[J]. Journal of Propulsion Technology, 2020, 41(10): 2237-2247. (in Chinese) [14] 柳翠翠, 姜泽毅, 张欣欣, 等. 圆形自由水射流冲击换热及喷嘴布置[J]. 化工学报, 2011, 62(5): 1275-1281. LIU Cuicui, JIANG Zeyi, ZHANG Xinxin, et al. Free surface circular water jet impingement heat transfer and nozzle arrangement[J]. CIESC Journal, 2011, 62(5): 1275-1281. (in ChineseLIU Cuicui, JIANG Zeyi, ZHANG Xinxin, et al. Free surface circular water jet impingement heat transfer and nozzle arrangement[J]. CIESC Journal, 2011, 62(5): 1275-1281. (in Chinese) [15] 杨波, 陈棋, 罗勇水, 等. 圆孔射流核心区衰减对凹面冲击换热与流动特性影响数值研究[J]. 工程热物理学报, 2022, 43(11): 3041-3048. YANG Bo, CHEN Qi, LUO Yongshui, et al. Numerical study of heat transfer and flow characteristics of nozzle impingement jet on concave surface by jet potential core analysis[J]. Journal of Engineering Thermophysics, 2022, 43(11): 3041-3048. (in ChineseYANG Bo, CHEN Qi, LUO Yongshui, et al. Numerical study of heat transfer and flow characteristics of nozzle impingement jet on concave surface by jet potential core analysis[J]. Journal of Engineering Thermophysics, 2022, 43(11): 3041-3048. (in Chinese) [16] 白云峰. 旋转条件下冲击冷却数值模拟及实验研究[D]. 南京: 南京航空航天大学, 2005: 32-34. BAI Yunfeng. Numerical simulation and experimental study on impingement cooling under rotating conditions[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2005: 32-34. (in ChineseBAI Yunfeng. Numerical simulation and experimental study on impingement cooling under rotating conditions[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2005: 32-34. (in Chinese) [17] 姜乐, 刘振侠, 吕亚国. 自由液体射流冲击高速旋转圆盘的耦合换热[J]. 航空动力学报, 2023, 38(2): 288-297. JIANG Le, LIU Zhenxia, LÜ Yaguo. Conjugate heat transfer of free liquid jet impinging on high-speed rotating disk[J]. Journal of Aerospace Power, 2023, 38(2): 288-297. (in ChineseJIANG Le, LIU Zhenxia, LÜ Yaguo. Conjugate heat transfer of free liquid jet impinging on high-speed rotating disk[J]. Journal of Aerospace Power, 2023, 38(2): 288-297. (in Chinese) [18] 于洋磊, 阮登芳. 射流冲击对旋转圆盘换热特性的影响[J]. 机械工程与技术, 2018, 7(2): 119-129. YU Yanglei, RUAN Dengfang. Effects of jet impingement on heat transfer characteristics of rotating disk[J]. Mechanical Engineering and Technology, 2018, 7(2): 119-129. (in Chinese doi: 10.12677/MET.2018.72015YU Yanglei, RUAN Dengfang. Effects of jet impingement on heat transfer characteristics of rotating disk[J]. Mechanical Engineering and Technology, 2018, 7(2): 119-129. (in Chinese) doi: 10.12677/MET.2018.72015 [19] MAHDAVI M, SHARIFPUR M, MEYER J P, et al. Thermal analysis of a nanofluid free jet impingement on a rotating disk using volume of fluid in combination with discrete modelling[J]. International Journal of Thermal Sciences, 2020, 158: 106532. doi: 10.1016/j.ijthermalsci.2020.106532 [20] BAGHEL K, SRIDHARAN A, MURALLIDHARAN J S. Experimental and numerical study of inclined free surface liquid jet impingement[J]. International Journal of Thermal Sciences, 2020, 154: 106389. doi: 10.1016/j.ijthermalsci.2020.106389 [21] JIANG Le, LYU Yaguo, ZHU Pengfei, et al. Numerical investigation of conjugate heat transfer on a rotating disk under round liquid jet impingement[J]. International Journal of Thermal Sciences, 2021, 170: 107097. doi: 10.1016/j.ijthermalsci.2021.107097 [22] YADAV S, SAINI R P. Numerical investigation on the performance of a solar air heater using jet impingement with absorber plate[J]. Solar Energy, 2020, 208: 236-248. doi: 10.1016/j.solener.2020.07.088 [23] SINGH D, PREMACHANDRAN B, KOHLI S. Numerical simulation of the jet impingement cooling of a circular cylinder[J]. Numerical Heat Transfer, Part A: Applications, 2013, 64(2): 153-185. doi: 10.1080/10407782.2013.772869 [24] SHARIF M A R, MOTHE K K. Evaluation of turbulence models in the prediction of heat transfer due to slot jet impingement on plane and concave surfaces[J]. Numerical Heat Transfer, Part B: Fundamentals, 2009, 55(4): 273-294. doi: 10.1080/10407790902724602 [25] 刘波, 张靖周, 谭晓茗. 旋转效应下射流冲击速度对换热的影响[J]. 工程热物理学报, 2015, 36(2): 366-370. LIU Bo, ZHANG Jingzhou, TAN Xiaoming. Effect of jet velocity on heat transfer in the vicinity of a rotating disk[J]. Journal of Engineering Thermophysics, 2015, 36(2): 366-370. (in ChineseLIU Bo, ZHANG Jingzhou, TAN Xiaoming. Effect of jet velocity on heat transfer in the vicinity of a rotating disk[J]. Journal of Engineering Thermophysics, 2015, 36(2): 366-370. (in Chinese) [26] 吕海彬, 耿丽萍, 徐鹏, 等. 不同占空比的双喷嘴狭缝冲击射流强化传热的数值模拟[J]. 空气动力学学报, 2017, 35(2): 229-233. LYU Haibin, GENG Liping, XU Peng, et al. Numerical simulation of heat transfer enhancement by double nozzles slot impingement jet with different duty cycle[J]. Acta Aerodynamica Sinica, 2017, 35(2): 229-233. (in ChineseLYU Haibin, GENG Liping, XU Peng, et al. Numerical simulation of heat transfer enhancement by double nozzles slot impingement jet with different duty cycle[J]. Acta Aerodynamica Sinica, 2017, 35(2): 229-233. (in Chinese) -
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