低Reynolds数下内置三棱柱通道的流动与传热特性

doi:10.11949/0438-1157.20210294

摘要/Abstract

摘要：

以放置在二维水平通道内阻塞比为1/5、1/4、1/3的等边三棱柱为对象，数值研究了空气绕流柱体时的流动及传热特性，分析了在不同阻塞比下顶角迎风和顶角背风放置时阻力系数、升力系数、Nusselt数及Strouhal数随Reynolds数的变化关系。研究表明，三棱柱顶角背风布置的阻力系数和升力系数均显著大于顶角迎风布置，升力系数变化速率随阻塞比增加而增加。当阻塞比为1/3时，尾部两列旋涡出现交错影响，阻力系数和Strouhal数显著增大。受通道和柱体共同影响，随着Reynolds数增加，Strouhal数基本趋于定值。阻塞比增加对于Nusselt数影响较小，且顶角迎风时远大于顶角背风，最大差值为24.5%。最后，给出了内置三棱柱通道绕流的Nusselt数准则关联式。

关键词: 流动, 三棱柱, 传热, 阻力, 数值模拟

Abstract:

The flow and heat transfer characteristics of air around the column were studied numerically for equilateral triangular cylinder with blockage ratios of 1/5, 1/4 and 1/3 in a two-dimensional horizontal channel, and the variation of drag coefficient, lift coefficient, Nusselt number and Strouhal number with Reynolds number were analyzed for different blockage ratios for top-angle windward and top-angle leeward arrangements. The study shows that the drag coefficient and lift coefficient of the trigonal top corner leeward arrangement are significantly larger than that of the top corner windward arrangement, and the rate of change of lift coefficient increases with the increase of obstruction ratio. When the obstruction ratio is 1/3, the two trailing rows of vortices appear to be staggered influence, and the drag coefficient and Strouhal number increase significantly. The Strouhal number basically tends to a constant value as the Reynolds number increases due to the joint influence of the channel and the column. The obstruction ratio increase has less effect on the Nusselt number and is much larger at the top corner windward than at the top corner leeward, with a maximum difference of 24.5%. Finally, the correlation equation of the Nusselt number criterion for the built-in trigonal channel winding is given.

Key words: flow, triangular prism, heat transfer, resistance, numerical simulation

中图分类号:

TK 124

赵浚哲, 刘舫辰, 李元鲁, 杜文静. 低Reynolds数下内置三棱柱通道的流动与传热特性[J]. 化工学报, 2021, 72(S1): 382-389.

ZHAO Junzhe, LIU Fangchen, LI Yuanlu, DU Wenjing. Flow and heat transfer characteristics of triangular cylinder in a channel with low Reynolds number[J]. CIESC Journal, 2021, 72(S1): 382-389.

图/表 10

图1 几何模型

Fig.1 Geometrical model

表1 模型准确性验证

Table 1 Model verification

来源	C_D	St	Nu
Re=80
本文	1.637	0.192	4.67
文献^[16]	1.635	0.192	4.87
文献^[20]	1.64	0.195	4.6
Re=100
本文	1.673	0.201	5.44
文献^[16]	1.671	0.200	5.56
文献^[20]	1.68	0.205	5.3
Re=150
本文	1.941	0.223	7.11
文献^[16]	1.935	0.221	7.12
文献^[20]	1.96	0.225	6.8

图2 顶角迎风与顶角背风的涡量云图

Fig.2 Vortex cloud diagram of top angle windward and top angle leeward

图3 顶角迎风和顶角背风布置阻力系数变化

Fig.3 Variation of drag coefficient for top angle windward and top angle leeward arrangement

图4 升力系数瞬时变化曲线（β=1/4，Re=100）

Fig.4 Instantaneous change curve of lift coefficient (β=1/4，Re=100)

图5 升力系数均方根值随Reynolds数的变化

Fig.5 Variation of root mean square value of lift coefficient with Reynolds number

图6 Strouhal数随Reynold数变化关系

Fig.6 Variation of Strouhal number with Reynolds number

图7 Nusselt数随棱长瞬时变化

Fig.7 Variation of Nusselt number with prism length

图8 平均Nusselt数随三棱柱表面的变化

Fig.8 Variation of average Nusselt number with surface of triangular cylinder

表2 关联式系数

Table 2 Correlation factor

项目	a	b
1/5-windword	0.41	0.61
1/4-windword	0.34	0.65
1/3-windword	0.36	0.64
1/5-leeword	0.41	0.55
1/4-leeword	0.41	0.55
1/3-leeword	0.48	0.52

参考文献 26

1	Jordan S K. Laminar flow past a circle in a shear flow [J]. Physics of Fluids, 1972, 15(6): 972.
2	Al Jamal H, Dalton C. The contrast in phase angles between forced and self-excited oscillations of a circular cylinder [J]. Journal of Fluids and Structures, 2005, 20(4): 467-482.
3	Braza M, Chassaing P, Minh H H. Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder [J]. Journal of Fluid Mechanics, 1986, 165: 79.
4	Hirata M H, Pereira L A A, Recicar J N, et al. High Reynolds number oscillations of a circular cylinder [J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2008, 30(4): 56-71.
5	张喜东, 黄护林. 圆柱绕流中扰动体强化传热和减阻[J]. 化工学报, 2014, 65(2): 488-494.
	Zhang X D, Huang H L. Heat transfer enhancement and drag reduction with rod for flow around cylinder [J]. CIESC Journal, 2014, 65(2): 488-494.
6	Williamson C K. Vortex dynamics in the cylinder wake [J]. Annual Review of Fluid Mechanics, 1996, 28(1): 477-539.
7	Zdravkovich M M, Bearman P W. Flow around circular cylinders — volume 1: fundamentals [J]. Journal of Fluids Engineering, 1998, 120(1): 216.
8	曹兴, 刘宇飞, 于恒, 等. 脉动流条件下的圆柱绕流特性研究[J]. 科学技术与工程, 2020, 20(15): 5926-5931.
	Cao X, Liu Y F, Yu H, et al. Investigation on flow characteristic of flowing around a circular cylinder under the pulsating flow condition [J]. Science Technology and Engineering, 2020, 20(15): 5926-5931.
9	Hu X F, Zhang X S, You Y X. On the flow around two circular cylinders in tandem arrangement at high Reynolds numbers [J]. Ocean Engineering, 2019, 189: 106301.
10	酆庆增. 圆柱绕流的非线性动力学[J]. 力学进展, 1994, 24(4): 525-546.
	Feng Q Z. Nonlinear dynamics of viscous flows past a circular cylinder [J]. Advances in Mechanics, 1994, 24(4): 525-546.
11	Sun R, Ng C O. Hydrodynamic interactions among multiple circular cylinders in an inviscid flow [J]. Journal of Fluid Mechanics, 2012, 712: 505-530.
12	李济超, 季璨, 吕明明, 等. 微通道内单柱绕流特性的Micro-PIV试验研究[J]. 化工学报, 2020, 71(4): 1597-1608.
	Li J C, Ji C, Lü M M, et al. Experimental study on characteristics of flow around single cylinder in microchannel based on Micro-PIV [J]. CIESC Journal, 2020, 71(4): 1597-1608.
13	邹帅, 徐加辉, 周杰, 等. 过渡流下钝体绕流特性的可视化试验对比[J]. 化工学报, 2016, 67(S1): 210-216.
	Zou S, Xu J H, Zhou J, et al. Experimental and comparative research on flow past bluff bodies in transition flow [J]. CIESC Journal, 2016, 67(S1): 210-216.
14	Davis R W, Moore E F. A numerical study of vortex shedding from rectangles [J]. Journal of Fluid Mechanics, 1982, 116: 475-506.
15	Tamura T, Kuwahara K. Numerical study of aerodynamic behavior of a square cylinder [J]. Journal of Wind Engineering and Industrial Aerodynamics, 1990, 33(1/2): 161-170.
16	Srikanth S, Dhiman A K, Bijjam S. Confined flow and heat transfer across a triangular cylinder in a channel [J]. International Journal of Thermal Sciences, 2010, 49(11): 2191-2200.
17	Wang H K, Yan Y H, Chen C M, et al. Numerical investigation on vortex-induced rotations of a triangular cylinder using an immersed boundary method [J]. China Ocean Engineering, 2019, 33(6): 723-733.
18	Abbassi H, Turki S, Nasrallah S B. Numerical investigation of forced convection in a plane channel with a built-in triangular prism [J]. International Journal of Thermal Sciences, 2001, 40(7): 649-658.
19	Abbassi H, Turki S, Nasrallah S B. Mixed convection in a plane channel with a built-in triangular prism [J]. Numerical Heat Transfer, Part A: Applications, 2001, 39(3): 307-320.
20	De A K, Dalal A. Numerical study of laminar forced convection fluid flow and heat transfer from a triangular cylinder placed in a channel [J]. Journal of Heat Transfer, 2007, 129(5): 646-656.
21	Liu X, Gui N, Wu H, et al. Numerical simulation of flow past a triangular prism with fluid-structure interaction [J]. Engineering Applications of Computational Fluid Mechanics, 2020, 14(1): 462-476.
22	Altaç Z, Sert Z, Mahir N, et al. Mixed convection heat transfer from a triangular cylinder subjected to upward cross flow [J]. International Journal of Thermal Sciences, 2019, 137: 75-85.
23	Chatterjee D, Mondal B. Mixed convection heat transfer from an equilateral triangular cylinder in cross flow at low Reynolds numbers [J]. Heat Transfer Engineering, 2015, 36(1): 123-133.
24	Yousif A H, Khudhair M R. Enhancement of heat transfer around a triangular cylinder by using single winglet [C]// 2019 4th Scientific International Conference Najaf (SICN). IEEE, 2019: 184-188.
25	Han X S, Wang J, Zhou B, et al. Numerical simulation of flow control around a circular cylinder by installing a wedge-shaped device upstream [J]. Journal of Marine Science and Engineering, 2019, 7(12): 422.
26	陆建洲, 陶建军. 三棱柱的低雷诺数绕流研究[J]. 航空动力学报, 2016, 31(5): 1226-1233.
	Lu J Z, Tao J J. Low-Reynolds-number wake flows of a triangular prism [J]. Journal of Aerospace Power, 2016, 31(5): 1226-1233.

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