Numerical simulation of heat transfer characteristics in rotor-stator cavity with annular gap inlet
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摘要:
针对某小型航空发动机低压涡轮盘腔结构,建立低半径环形缝隙进气转静系盘腔模型,探讨转静系盘腔内的传热特点,获得了转盘盘面表面传热系数的分布特征,并研究了冷气流量、转盘转速等流动参数以及环形进气缝隙半径位置、转静盘间距、出气间隙高度等结构参数对表面传热系数的影响,整理得到用于求解盘面平均努塞尔数的经验关系式。结果表明:低半径环形缝隙进气转静系盘腔表面传热系数总体上表现出“低半径区域较高、整体径向递减”的特征;当流动参数相同时,流量与转速单个参数的变化也会影响传热特性;流量增加与转速增加均对盘腔内传热起强化作用;进气半径和转静间隙的变化对盘腔传热影响较大,出气间隙的改变对盘腔内传热影响较小。
Abstract:A low radius annular gap inlet rotor stator system cavity model was established for the low-pressure turbine cavity structure of a small aviation engine. The heat transfer characteristics in the rotor-stator system cavity were explored and the distribution characteristics of convective heat transfer coefficient on the rotor disk surface were obtained. The influences of flow parameters such as cold air flow rate and rotor speed, as well as structural parameters such as the position of the annular inlet gap radius, the distance between the rotor and stator disks and the height of the outlet gap on the convective heat transfer coefficient, were studied. The empirical relation used to solve the average Nusselt number of disks was obtained. The results showed that the convective heat transfer coefficient of the rotor stator system cavity with low radius annular gap intake exhibited a characteristic of “higher in the low radius region and overall radial decrease”. When the flow parameters were the same, changes in the individual parameters of flow and rotation speed also affected the heat transfer characteristics. The increase in flow rate and rotational speed both enhanced the heat transfer inside the disk cavity. The inlet radius and the clearance between the rotor and stator had a significant impact on the heat transfer in the disk cavity, while the change in the outlet clearance had a smaller impact on the heat transfer in the disk cavity.
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$ {C}_{{w}} $ 流量系数,$ \dot{m}/\mu {R}_{\mathrm{b}} $ $ {R}_{\mathrm{b}} $ 盘腔半径(mm) $ {Re}_{\mathrm{\omega }} $ 旋转雷诺数,$ \omega {R}_{\mathrm{b}}^{2}/\upsilon $ $ \rho $ 密度(kg/m3) $ {{ \lambda }}_{{\mathrm{t}}} $ 湍流参数,$ {C}_{{w}}/{Re}_{\mathrm{\omega }}^{0.8} $ $ \mu $ 动力黏度(Pa·s) $ \dot{m} $ 质量流量(kg/s) $ \nu $ 运动黏度(m2/s) $ \omega $ 盘腔转速(rad/s) $ {c}_{p} $ 比定压热容(J/(kg·K)) $ {V}_{\mathrm{\theta }} $ 气流周向速度(m/s) $ \lambda $ 导热系数(W/(m·K)) 表 1 工况范围
Table 1. Range of working conditions
无量纲参数 取值范围 $ {G} $ $ 0.1~0.6 $ $ {{G}}_{\rm{in}} $ $ 0.05~0.25 $ $ {{G}}_{\rm{out}} $ $ 0.05~0.25 $ $ {{C}}_{{w}} $ $ 0.92\times {10}^{4}~2.92\times {10}^{4} $ $ {{R}{e}}_{{\omega }} $ $ 0.83\times {10}^{6}~2.49\times {10}^{6} $ $ {{ \lambda }}_{\rm{t}} $ $ 0.07~0.53 $ 表 2 固体材料主要热物性参数
Table 2. Main thermophysical parameters of solid materials
材料 铸型尼龙(转盘) 铝(静盘) $ \rho / (\mathrm{k}\mathrm{g}/ {\mathrm{m}}^{3}) $ 1600 2702 $ {c}_{{p}}/ (\mathrm{J}/ ( {\mathrm{k}\mathrm{g}}\cdot {\mathrm{K}}) ) $ 1720 903 $ \lambda / (\mathrm{W}/ ( {\mathrm{m}}\cdot{\mathrm{K}}) ) $ 0.217 237 表 3 数值模拟边界条件设置
Table 3. Numerical simulation boundary condition settings
区域 边界条件 流体域 入口 质量流量,入口静温353.15 K 出口 压力出口,101.3 kPa 转盘 外壁面 恒壁温,293.15 K 内壁面 旋转壁面,且设置流固耦合
通量连续性条件静盘 外壁面 恒壁温,293.15 K 内壁面 静止壁面,流固耦合
通量连续性条件 -
[1] BATCHELOR G K. Note on a class of solutions of the navier-stokes equations representing steady rotationally-symmetric flow[J]. The Quarterly Journal of Mechanics and Applied Mathematics, 1951, 4(1): 29-41. doi: 10.1093/qjmam/4.1.29 [2] STEWARTSON K. On the flow between two rotating coaxial disks[J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1953, 49(2): 333-341. doi: 10.1017/S0305004100028437 [3] DAILY J W, NECE R E. Chamber dimension effects on induced flow and frictional resistance of enclosed rotating disks[J]. Journal of Basic Engineering, 1960, 82(1): 217-230. doi: 10.1115/1.3662532 [4] OWEN J M, ROGERS R H. Flow and heat transfer in rotating-disc systems[M]. Taunton, US: Research Studies Press, 1989. [5] LUO X, WANG L, ZHAO X, et al. Experimental investigation of heat transfer in a rotor-stator cavity with cooling air inlet at low radius[J]. International Journal of Heat and Mass Transfer, 2014, 76: 65-80. doi: 10.1016/j.ijheatmasstransfer.2014.04.013 [6] PONCET S, CHAUVE M P, SCHIESTEL R. Batchelor versus Stewartson flow structures in a rotor-stator cavity with throughflow[J]. Physics of Fluids, 2005, 17(7): 075110. doi: 10.1063/1.1964791 [7] PONCET S, SCHIESTEL R, CHAUVE M P. Centrifugal flow in a rotor-stator cavity[J]. Journal of Fluids Engineering, 2005, 127(4): 787-794. doi: 10.1115/1.1949645 [8] PONCET S, SCHIESTEL R. Numerical modeling of heat transfer and fluid flow in rotor-stator cavities with throughflow[J]. International Journal of Heat and Mass Transfer, 2007, 50(7/8): 1528-1544. [9] ROY R P, XU G, FENG J. A study of convective heat transfer in a model rotor-stator disk cavity[J]. Journal of Turbomachinery, 2001, 123(3): 621-632. doi: 10.1115/1.1371776 [10] PELLÉ J, HARMAND S. Heat transfer study in a rotor-stator system air-gap with an axial inflow[J]. Applied Thermal Engineering, 2009, 29(8/9): 1532-1543. [11] HARMAND S, PELLÉ J, PONCET S, et al. Review of fluid flow and convective heat transfer within rotating disk cavities with impinging jet[J]. International Journal of Thermal Sciences, 2013, 67: 1-30. doi: 10.1016/j.ijthermalsci.2012.11.009 [12] 张达, 韩建桥, 罗翔, 等. 中心进气转静系转盘风阻扭矩数值模拟[J]. 航空动力学报, 2014, 29(4): 755-762. ZHANG Da, HAN Jianqiao, LUO Xiang, et al. Numerical simulation of friction torque of rotating disc for rotor-stator system with central inflow[J]. Journal of Aerospace Power, 2014, 29(4): 755-762. (in ChineseZHANG Da, HAN Jianqiao, LUO Xiang, et al. Numerical simulation of friction torque of rotating disc for rotor-stator system with central inflow[J]. Journal of Aerospace Power, 2014, 29(4): 755-762. (in Chinese) [13] 张达, 罗翔, 徐国强, 等. 表面粗糙或带凸起转盘风阻扭矩实验[J]. 北京航空航天大学学报, 2014, 40(8): 1055-1059. ZHANG Da, LUO Xiang, XU Guoqiang, et al. Windage measurements for rotating disc with protrusions[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(8): 1055-1059. (in ChineseZHANG Da, LUO Xiang, XU Guoqiang, et al. Windage measurements for rotating disc with protrusions[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(8): 1055-1059. (in Chinese) [14] 张达, 罗翔, 徐国强, 等. 转静系盘腔转盘风阻温升实验[J]. 航空动力学报, 2015, 30(5): 1047-1056. ZHANG Da, LUO Xiang, XU Guoqiang, et al. Windage heating experiment on rotating disc in cavity of rotor-stator system[J]. Journal of Aerospace Power, 2015, 30(5): 1047-1056. (in ChineseZHANG Da, LUO Xiang, XU Guoqiang, et al. Windage heating experiment on rotating disc in cavity of rotor-stator system[J]. Journal of Aerospace Power, 2015, 30(5): 1047-1056. (in Chinese) [15] 林立, 任静, 蒋洪德. 小流量下的转静系盘腔传热特征分析[J]. 工程热物理学报, 2012, 33(7): 1122-1126. LIN Li, REN Jing, JIANG Hongde. Heat transfer characteristic of rotor-stator system with small radial outflow[J]. Journal of Engineering Thermophysics, 2012, 33(7): 1122-1126. (in ChineseLIN Li, REN Jing, JIANG Hongde. Heat transfer characteristic of rotor-stator system with small radial outflow[J]. Journal of Engineering Thermophysics, 2012, 33(7): 1122-1126. (in Chinese) [16] 林立, 吴康, 谭勤学, 等. 小流量下转静系盘腔传热特性[J]. 航空动力学报, 2015, 30(9): 2058-2065. LIN Li, WU Kang, TAN Qinxue, et al. Heat transfer characteristics of rotor-stator cavity with small mass flow rate[J]. Journal of Aerospace Power, 2015, 30(9): 2058-2065. (in ChineseLIN Li, WU Kang, TAN Qinxue, et al. Heat transfer characteristics of rotor-stator cavity with small mass flow rate[J]. Journal of Aerospace Power, 2015, 30(9): 2058-2065. (in Chinese) [17] LIU Y H, TSENG L W, HUANG C Y, et al. Particle image velocimetry measurement of jet impingement in a cylindrical chamber with a heated rotating disk[J]. International Journal of Heat and Mass Transfer, 2013, 65: 339-347. doi: 10.1016/j.ijheatmasstransfer.2013.06.018 [18] LAI W C, YIN Peng, LIU Y H. Investigation of flow characteristics from an inclined jet on a heated rotating disk[J]. International Journal of Heat and Mass Transfer, 2018, 127: 943-956. doi: 10.1016/j.ijheatmasstransfer.2018.08.028 [19] SHI Jianwei, ZHAO Zhizhou, SONG Wenwu, et al. Numerical simulation analysis of flow characteristics in the cavity of the rotor-stator system[J]. Engineering Applications of Computational Fluid Mechanics, 2022, 16(1): 501-513. doi: 10.1080/19942060.2021.2016494 [20] ZHANG Feng, WANG Xinjun, LI Jun. Numerical investigation of the flow and heat transfer characteristics for a pre-swirl rotor–stator system with center inflow[J]. Applied Thermal Engineering, 2016, 105: 646-658. doi: 10.1016/j.applthermaleng.2016.03.060 [21] 蔡毅, 徐国强, 丁水汀, 等. 旋转盘换热研究准则系统的确定[J]. 航空动力学报, 2001, 16(3): 238-241. CAI Yi, XU Guoqiang, DING Shuiting, et al. Determination of similarity criteria for flow and heat transfer of rotor-stator disks system[J]. Journal of Aerospace Power, 2001, 16(3): 238-241. (in ChineseCAI Yi, XU Guoqiang, DING Shuiting, et al. Determination of similarity criteria for flow and heat transfer of rotor-stator disks system[J]. Journal of Aerospace Power, 2001, 16(3): 238-241. (in Chinese) [22] 丁水汀, 邓长春, 邱天. 中心进气旋转盘腔换热特性对无量纲参数的敏感性分析[J]. 航空学报, 2019, 40(12): 123017. DING Shuiting, DENG Changchun, QIU Tian. Sensibility analysis of heat transfer characteristics to dimensionless criterion in central inlet rotating disk cavity[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(12): 123017. (in ChineseDING Shuiting, DENG Changchun, QIU Tian. Sensibility analysis of heat transfer characteristics to dimensionless criterion in central inlet rotating disk cavity[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(12): 123017. (in Chinese) [23] 畅然, 刘高文, 余祥仙, 等. 高转速转静盘腔流动换热相似性数值研究[J]. 推进技术, 2022, 43(4): 200530. CHANG Ran, LIU Gaowen, YU Xiangxian, et al. Numerical study on similarity of flow and heat transfer in a high-speed rotor-stator cavity[J]. Journal of Propulsion Technology, 2022, 43(4): 200530. (in ChineseCHANG Ran, LIU Gaowen, YU Xiangxian, et al. Numerical study on similarity of flow and heat transfer in a high-speed rotor-stator cavity[J]. Journal of Propulsion Technology, 2022, 43(4): 200530. (in Chinese) -

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