周期性规则拓扑流动损失的定量分析和预测
Quantitatively Prediction and Analysis of Hydrodynamic Loss across Periodic Regular Topologies
DOI: 10.12677/MET.2020.95047, PDF,    科研立项经费支持
作者: 卜 诗, 张 琳*, 柳 林, 许伟刚：常州大学，机械与轨道交通学院，江苏 常州；江苏省绿色过程装备重点实验室，江苏 常州；刘 昕：常州大学，机械与轨道交通学院，江苏 常州
关键词: 周期拓扑；流动损失；定量预测；数学模型；数值模拟；Periodic Topology； Hydrodynamic Loss； Quantitative Prediction； Mathematical Model； Numerical Simulation
摘要: 对能源转换系统中的流动损失进行准确评估有助于提高系统能效优化的效率。针对具有周期性规则拓扑的扰流结构，提出了一种可用于定量分析和预测流动损失的完备数学模型。以常见的错排短柱阵列为例，详细阐述了模型的建立方法，以及如何基于所建立的指数型经验方程对流动损失进行定量的因素分析。为此，建立了一套采用对称和周期边界的数值方法，用于高效收集模型建立所需的基础数据。研究结果表明，数学模型中特定结构或流动参数对应指数的绝对值可表征其对流动损失的定量影响。该模型具有较高的普适性，可用于具有类似拓扑特征和任意数量影响因素的扰流结构流动损失分析和预测。
Abstract: Evaluating hydrodynamic loss in energy conversion systems precisely is of vital importance in improving system energy efficiency. This paper proposed a complete mathematical model which can be used for analyzing and predicting pressure loss across any topology with regular periodic features on a quantitative level. Taking staggered arrays of short pin fins as a typical example, de-tailed process of building up the model is demonstrated, based on which the hydrodynamic loss is analyzed quantitatively according to the exponent-type empirical equations. Specifically, a nu-merical approach is proposed employing symmetric and periodic boundary conditions, to collect fundamental data required for establishing the model. The result indicated that, the absolute value of the exponents of particular structural or hydrodynamic parameters can be used for charac-terizing their quantitative influence upon pressure loss. The model is highly adaptable for various kinds of geometries with similar topology features and amounts of influencing parameters, thus can be used to predict and analyzing the hydrodynamic loss of the aforementioned structures.
文章引用：卜诗, 刘昕, 张琳, 柳林, 许伟刚. 周期性规则拓扑流动损失的定量分析和预测[J]. 机械工程与技术, 2020, 9(5): 434-444. https://doi.org/10.12677/MET.2020.95047

参考文献

[1] Feng, S., Yan, Y.F., Li, H.J., He, Z.Q. and Zhang, L. (2020) Temperature Uniformity Enhancement and Flow Charac-teristics of Embedded Gradient Distribution Micro Pin Fin Arrays Using Dielectric Coolant for Direct Intra-Chip Cooling. International Journal of Heat and Mass Transfer, 156, Article ID: 119675. [Google Scholar] [CrossRef] 
[2] 李彦霖, 饶宇, 王德强. 涡轮叶片冷却通道高性能微小肋湍流传热的数值研究[J]. 工程热物理学报, 2018, 39(10): 2271-2279.
[3] 马超. 涡轮叶片在空气和蒸汽两种冷却介质下冷却性能的对比分析[J]. 热科学与技术, 2014, 13(2): 9-175.
[4] Brigham, B.A. and Van Fossen, G.J. (1984) Length to Diameter Ratio and Row Number Effects in Short Pin Fin Heat Transfer. Journal of Engineering for Gas Turbines and Power, 106, 241-244. [Google Scholar] [CrossRef] 
[5] Tahseen, T.A., Ishak, M. and Rahman, M.M. (2015) An Overview on Thermal and Fluid Flow Characteristics in a Plain Plate-Finned and Un-Finned Tube Banks Heat Exchanger. Renewable and Sustainable Energy Reviews, 43, 363-380. [Google Scholar] [CrossRef] 
[6] Ling, C.M., Min, C.H. and Xiao, Y.X. (2004) Three-Dimensional Numerical Investigation on the Effect of Wedge Angle of a Passage with Pin-Fin Arrays. Journal of Thermal Science, 13, 138-142. [Google Scholar] [CrossRef] 
[7] 夜毅, 李雪英, 任静, 等. 倾斜冲击与柱肋组合冷却结构的传热特性[J]. 工程热物理学报, 2019, 40(2): 389-395.
[8] 饶宇, 李麟. 具有柱肋阵列与分离式柱肋阵列的冷却通道内流阻与传热实验研究[J]. 上海交通大学学报, 2014, 48(6): 782-787.
[9] Lawson, S.A., Thrift, A.A., Thole, K.A. and Kohli, A. (2011) Heat Transfer from Multiple Row Arrays of Low Aspect Ratio Pin Fins. International Journal of Heat and Mass Transfer, 54, 4099-4109. [Google Scholar] [CrossRef] 
[10] 李麟, 饶宇, 万超一. 窄缝宽度对分离式柱肋冷却通道内传热与流动影响的数值计算[J]. 上海交通大学学报, 2014, 48(6): 756-760.
[11] Axtmann, M., Poser, R., Wolfersdorf, J.V. and Bouchez, M. (2016) Endwall Heat Transfer and Pressure Loss Measurements in Staggered Arrays of Adiabatic Pin Fins. Applied Thermal Engineering, 103, 1048-1056. [Google Scholar] [CrossRef] 
[12] Rao, Y., Xu, Y. and Wan, C.Y. (2012) An Experimental and Numerical Study of Flow and Heat Transfer in Channels with Pin Fin-Dimple and Pin Fin Arrays. Experimental Thermal and Fluid Science, 38, 237-247. [Google Scholar] [CrossRef] 
[13] Rao, Y., Wan, C.Y. and Xu, Y.M. (2012) An Experi-mental Study of Pressure Loss and Heat Transfer in the Pin Fin-Dimple Channels with Various Dimple Depths. Inter-national Journal of Heat and Mass Transfer, 55, 6723-6733. [Google Scholar] [CrossRef] 
[14] Siw, S.C., Chyu, M.K., Shih, T.I.-P. and Alvin, M.A. (2012) Effects of Pin Detached Space on Heat Transfer and Pin-Fin Arrays. ASME Journal of Heat Transfer, 134, Article ID: 081902. [Google Scholar] [CrossRef] 
[15] Kirsch, K.L., Ostanek, J.K. and Thole, K.A. (2014) Comparison of Pin Surface Heat Transfer in Arrays of Oblong and Cylindrical Pin Fins. ASME Journal of Tur-bomachinery, 136, Article ID: 041015. [Google Scholar] [CrossRef] 
[16] Luo, L., Wang, C.L., Wang, L., Sunden, B.A. and Wang, S.T. (2016) Heat Transfer and Friction Factor in a Dimple-Pin Fin Wedge Duct with Various Dimple Depth and Converging Angle. International Journal of Numerical Methods for Heat & Fluid Flow, 26, 1954-1974. [Google Scholar] [CrossRef] 
[17] Ferster, K.K., Kirsch, K.L. and Thole, K.A. (2018) Effects of Geometry, Spacing, and Number of Pin Fins in Additively Manufactured Microchannel Pin Fin Arrays. ASME Journal of Turbomachinery, 140, Article ID: 011007. [Google Scholar] [CrossRef] 
[18] Su, G.G., Chen, H.-C. and Han, J.-C. (2007) Computation of Flow and Heat Transfer in Rotating Rectangular Channels (AR = 4:1) with Pin-Fins by a Reynolds Stress Turbulence Model. ASME Journal of Heat Transfer, 129, 685-696. [Google Scholar] [CrossRef] 
[19] Ames, F.E., Dvorak, L.A. and Morrow, M.J. (2005) Turbulent Augmen-tation of Internal Convection over Pins in Staggered-Pin Fin Arrays. ASME Journal of Turbomachinery, 127, 183-190. [Google Scholar] [CrossRef] 
[20] Ames, F.E. and Dvorak, L.A. (2006) Turbulent Transport in Pin Fin Ar-rays: Experiment Data and Predictions. Journal of Turbomachinery Transactions of the ASME, 128, 71-81. [Google Scholar] [CrossRef] 
[21] Hwang, J.-J. and Lui, C.-C. (2002) Measurement of Endwall Heat Transfer and Pressure Drop in a Pin-Fin Wedge Duct. International Journal of Heat and Mass Transfer, 45, 877-889. [Google Scholar] [CrossRef] 
[22] Uzol, O. and Camci, C. (2005) Heat Transfer, Pressure Loss and Flow Field Measurements Downstream of Staggered Two-Row Circular and Elliptical Pin Fin Arrays. Transactions of the ASME, 127, 458-471. [Google Scholar] [CrossRef] 
[23] Abel, S.-H., Qu, W.L. and Pfefferkorn, F. (2007) Experimental Study of Pressure Drop and Heat Transfer in a Single-Phase Micropin-Fin Heat Sink. ASME Journal of Electronic Packaging, 129, 479-487. [Google Scholar] [CrossRef] 
[24] Marques, C. and Kelly, K.W. (2004) Fabrication and Performance of a Pin Fin Micro Heat Exchanger. Journal of Heat Transfer Transactions of the ASME, 126, 434-444. [Google Scholar] [CrossRef] 
[25] Li, P. and Kim, K.-Y. (2008) Multiobjective Optimization of Staggered Elliptical Pin-Fin Arrays. Numerical Heat Transfer, Part A, 53, 418-461. [Google Scholar] [CrossRef] 
[26] Metzger, D.E., Fan, C.X. and Shepard, W.B. (1982) Pressure Loss and Heat Transfer through Multiple Rows of Short Pin Fins. Heat Transfer, 3, 137-142. [Google Scholar] [CrossRef] 
[27] Olson, D.A. (1992) Heat Transfer in Thin, Compact Heat Exchangers with Circular, Rectangular, or Pin-Fin Flow Passages. Journal of Heat Transfer Transactions of the ASME, 114, 373-382. [Google Scholar] [CrossRef] 
[28] Damerow, W.P., Murtaugh, J.C. and Burgraf, F. (1972) Exper-imental and Analytical Investigation of the Coolant Flow Characteristics in Cooled Turbine Airfoils. NASA CR-120883.
[29] Jacob, M. (1938) Heat Transfer and Flow Resistance in Cross Flow of Gases over Tube Banks. Transactions of the ASME, 59, 384-386.
[30] Chilton, T. and Genereaux, R. (1933) Pressure Drop across Tube Banks. Transactions of the American Institute of Chemical Engineers, 29, 161-173.

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