Flow and heat transfer characteristics of triangular cylinder in a channel with low Reynolds number

doi:10.11949/0438-1157.20210294

Abstract

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

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

CLC Number:

TK 124

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.

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.

Figures/Tables 10

Fig.1 Geometrical model

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

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

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

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

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

Fig.6 Variation of Strouhal number with Reynolds number

Fig.7 Variation of Nusselt number with prism length

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

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

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