不同截面肋柱-软尾结构单相流动传热比较研究

doi:10.11949/0438-1157.20240068

摘要/Abstract

摘要：

基于任意拉格朗日-欧拉（ALE）方法，利用动网格技术和重叠网格技术数值模拟研究了不同的Reynolds数、截面形状以及长径比下的肋柱-软尾结构在通道中的双向流固耦合换热问题。模拟工况为：Reynolds数Re = 200； 275； 351；肋柱截面形状：圆形和方形；长径比k = 2； 3； 4。研究表明：（1）在Re = 275时，圆形截面肋柱-软尾结构的流动换热综合能力优于方形截面的结构；在k = 3时，圆形截面肋柱-软尾结构的流动换热综合能力最佳；而肋柱周围的局部换热能力方形截面的结构要好于圆形截面的结构；（2）在k = 3时，随着Reynolds数的增大，不同截面形状的肋柱-软尾结构的流动换热综合能力逐渐升高。并且，高Reynolds数、高长径比的圆形截面综合流动换热能力最佳；（3）与不加软尾肋柱结构的流动换热能力进行对比发现，对于圆形截面形状的肋柱结构，增加软尾后综合换热能力增大了19.46%。

关键词: 任意拉格朗日-欧拉方法, 动网格, 数值模拟, 弹性, 层流, 热流固耦合, 强化换热

Abstract:

Enhanced heat transfer technique using vortex-induced vibration is an effective way to realize the cooling of heat exchange equipment. In this paper, based on the Arbitrary Lagrange-Euler(ALE) Algorithm, the two-way fluid-structure-interaction and heat transfer problem in the channel of rib-soft tail structure with different Reynolds numbers, different cross-sectional shapes, and different length-to-diameter ratios is investigated by using numerical simulations with dynamic mesh and overset mesh technique, and the main research objects are the flow and heat transfer characteristics around the rib-soft tail structure, the heat transfer characteristics of the ribbed heated wall, and the integrated flow and heat transfer capacity of the whole channel. The simulation working conditions are as follows: Reynolds number Re = 200; 275; 351; rib cross-sectional shapes: circular and square; length-to-diameter ratio k = 2; 3; 4. The results show that: (1) At Reynolds number Re = 275, the flow-heat transfer capability of the rib-soft tail structure with circular cross-section is better than that of the structure with square cross-section, and the rib-soft tail structure with circular cross-section is optimal when the length-to-diameter ratio k = 3; and the local heat transfer capacity around the rib is better for square cross-section structure than for circular ones; (2) With the increase of Reynolds number at the length-to-diameter ratio k = 3, the combined flow-heat transfer capacity of rib-soft tail structure with different cross-sections increases gradually. Moreover, the integrated flow heat transfer capacity of circular cross-section with high Reynolds number and high length-to-diameter ratio is the best; (3) Comparing the flow-heat transfer capacity with a rib structure without soft tail, for the circular cross-section rib structure, the integrated heat transfer capacity increases by 19.46% after adding the soft tail structure, whereas for the square cross-section rib, the capacity decreases slightly after adding the soft-tail. This provides a theoretical basis for studying the cooling design of heat exchange equipment.

Key words: Arbitrary Lagrange-Euler Algorithm, dynamic mesh, numerical simulation, elasticity, laminar flow, heat-fluid-solid coupling, enhanced heat transfer

中图分类号:

TK124

谢磊, 徐永生, 林梅. 不同截面肋柱-软尾结构单相流动传热比较研究[J]. 化工学报, DOI: 10.11949/0438-1157.20240068.

Lei XIE, Yongsheng XU, Mei LIN. Comparative study on single-phase flow and heat transfer of different cross-section rib-soft tail structures[J]. CIESC Journal, DOI: 10.11949/0438-1157.20240068.

图/表 19

图 1 计算几何模型示意图(方柱)

Fig.1 Schematic of the computational geometry model (rectangular)

图 2 网格划分示意图

Fig.2 Schematic diagram of meshing

图 3 网格无关性验证

Fig.3 Verification of mesh independence

表 1 软尾自由端的振幅、周期和频率

Table 1 Amplitude， period and frequency of the free end of the soft tail

	振幅A/mm	周期T/s	频率f/Hz
文献[28]	12.475	0.320	3.13
文献[29]	9.843	0.319	3.14
本文	10.361	0.314	3.18

图 4 不同截面形状、不同长径比对温度场、涡量场和速度场的影响(Re=275)

Fig.4 Effect of different cross-sectional shapes and length-to-diameter ratios on temperature, vorticity and velocity fields(Re = 275)

图 5 加热壁面平均温度的变化

Fig.5 Average temperature change of heated wall surface

图 6 加热壁面局部Nusselt数Nu的分布情况

Fig.6 Distribution of the localized Nusselt numbers on heated wall surface

图 7 不同截面形状、不同长径比对压力场的影响(Re=275)

Fig.7 Effect of different cross-sectional shapes and length-to-diameter ratios on pressure fields (Re = 275)

图 8 两种截面流动和传热特性比较：(a)进出口压降的变化；(b)传热系数的变化

Fig.8 Comparison of flow heat transfer performances for two cross-sectional channels: (a) Pressure drop between inlet and outlet and (b)Heat transfer coefficient

图 9 综合换热因子J的变化情况

Fig.9 Variation of the integrated heat transfer factor J

图 10 涡脱频率fv的变化

Fig.10 Variation of the vortex shedding frequency fv

图 11 不同Reynolds数，不同截面形状肋柱的温度场、涡量场和速度场的变化 (k = 3)

Fig.11 Variation of temperature, vorticity and velocity fields for different Reynolds numbers and cross-section shapes (k = 3)

图 12 加热壁面平均温度的变化

Fig.12 Variation of the average temperature of the heated wall

图 13 不同Reynolds数下方柱的温度场、涡量场和速度场变化(k = 2)

Fig.13 Variation of temperature, vorticity and velocity fields of square rib at different Reynolds numbers (k = 2)

图 14 肋柱通道流动传热特性随Reynolds数的变化：(a)进出口压降ΔP的变化；(b)平均传热系数的变化

Fig.14 Variation of flow and heat transfer performance for rib channels with Reynolds numbers: (a) Pressure drop between inlet and outlet; (b) Average heat transfer coefficient

图 15 综合换热因子J随Reynolds数的变化

Fig.15 Variation of integrated heat transfer factor J with Reynolds numbers

表 2 长径比k = 0和4的流动换热参数对比

Table 2 Comparison of flow and heat transfer parameters for length-to-diameter ratio k = 0 and 4

肋柱截面形状	方形			圆形
长径比	k = 0	k = 4	k = 0	k = 4
Nu_xt	7.867	7.271	11.797	8.398
f_d	0.177	0.164	0.207	0.123
J	44.337	44.208	56.975	68.064

图 16 方柱结构在一个摆动周期内，不同时刻温度、涡量、速度和压力云图变化情况(Re = 351, k = 4)

Fig.16 Variation of temperature, vorticity, velocity and pressure contours of the square rib at different moments during an oscillation period (Re = 351, k = 4)

图 17 局部Nusselt数变化情况(方柱)

Fig.17 Variation of the localized Nusselt number(square rib)

参考文献 30

1	皇甫宇澄, 孙志强. 带弹性分隔板的低Reynolds数圆柱绕流尾迹演化特性[J]. 中南大学学报(自然科学版), 2019, 50(2): 474-479.
	Huangfu Y C, Sun Z Q. Evolution of wake characteristics behind circular cylinder with an elastic splitter plate at low Reynolds number[J]. Journal of Central South University (Science and Technology), 2019, 50(2): 474-479.
2	种叶龙, 杨茉. 流道内错列倒置柔性体运动及强化传热分析[J]. 暖通空调, 2023, 53(6): 156-161, 55.
	Chong Y L, Yang M. Analysis of motion and heat transfer enhancement of staggered inverted flexible bodies in flow channels[J]. Heating Ventilating & Air Conditioning, 2023, 53(6): 156-161, 55.
3	Wu J, Shu C. Numerical study of flow characteristics behind a stationary circular cylinder with a flapping plate[J]. Physics of Fluids, 2011, 23(7): 73601-73601-17 .
4	Gu F, Wang J S, Qiao X Q, et al. Pressure distribution, fluctuating forces and vortex shedding behavior of circular cylinder with rotatable splitter plates[J]. Journal of Fluids and Structures, 2012, 28: 263-278.
5	汪健生, 徐亚坤. 带有柔性薄板三维方柱流固耦合的数值模拟研究[J]. 计算力学学报, 2017, 34(1): 117-122, 129.
	Wang J S, Xu Y K. Simulations of flow past a square cylinder with a flexible plate based on fluid-solid coupling method[J]. Chinese Journal of Computational Mechanics, 2017, 34(1): 117-122, 129.
6	李哲阳. 流体诱导振动的双向热流固耦合强化传热机理研究[D]. 南昌:南昌大学, 2018.
	Li Z Y. Study on heat transfer enhancement mechanism of two way thermal fluid structure coupling for fluid induced structure vibration[D]. Nanchang: Nanchang University, 2018.
7	韩田. 圆柱诱导柔性板涡致振动强化传热研究[D]. 兰州:兰州交通大学, 2021.
	Han T. Heat transfer enhancement by vortex-induced vibration of flexible plate induced by cylinder[D]. Lanzhou: Lanzhou Jiaotong University, 2021.
8	Fu W S, Tong B H. Numerical investigation of heat transfer from a heated oscillating cylinder in a cross flow[J]. International Journal of Heat and Mass Transfer, 2002, 45(14): 3033-3043.
9	Fu W S, Tong B H. Numerical investigation of heat transfer characteristics of the heated blocks in the channel with a transversely oscillating cylinder[J]. International Journal of Heat and Mass Transfer, 2004, 47(2): 341-351.
10	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.
11	姬长发, 慕红艳, 孙瑞科, 等. 插入扰流元件换热管强化换热效果分析[J]. 化工学报, 2012, 63(S2): 58-63.
	Ji C F, Mu H Y, Sun R K, et al. Analysis of heat transfer enhancement effect of heat exchange tube inserted with spoiler[J]. CIESC Journal, 2012, 63(S2): 58-63.
12	Soti A K, Bhardwaj R, Sheridan J. Flow-induced deformation of a flexible thin structure as manifestation of heat transfer enhancement[J]. International Journal of Heat and Mass Transfer, 2015, 84: 1070-1081.
13	Park K H, Min J K, Kim J K, et al. A study on a flexible wing with up-down vibration in a pulsating flow of cooling air to improve heat transfer efficiency[J]. Heat and Mass Transfer, 2013, 49(10): 1459-1470.
14	Shi J X, Hu J W, Schafer S R, et al. Numerical study of heat transfer enhancement of channel via vortex-induced vibration[J]. Applied Thermal Engineering, 2014, 70(1): 838-845.
15	Joshi R U, Soti A K, Bhardwaj R. Numerical study of heat transfer enhancement by deformable twin plates in laminar heated channel flow[J]. Computational Thermal Sciences, 2015, 7(5/6): 467-476.
16	Ali S, Menanteau S, Habchi C, et al. Heat transfer and mixing enhancement by using multiple freely oscillating flexible vortex generators[J]. Applied Thermal Engineering, 2016, 105: 276-289.
17	麻程柳, 杨茉, 李峥, 等. 通道内柔性体流固耦合对流动和换热的影响[J]. 动力工程学报, 2020, 40(8): 635-640, 653.
	Ma C L, Yang M, Li Z, et al. Influence of fluid-solid coupling on flow and heat transfer in a channel with a flexible body inserted[J]. Journal of Chinese Society of Power Engineering, 2020, 40(8): 635-640, 653.
18	苗春虎, 齐晓霓, 屈晓航, 等. 通道内置三维柔性元件强化传热特性的数值模拟研究[J]. 热能动力工程, 2022, 37(8): 100-108.
	Miao C H, Qi X N, Qu X H, et al. Numerical simulation research on enhanced heat transfer characteristics of three-dimensional flexible elements embedded in channels[J]. Journal of Engineering for Thermal Energy and Power, 2022, 37(8): 100-108.
19	杨世铭, 陶文铨. 传热学[M]. 4版. 北京: 高等教育出版社, 2006.
	Yang S M, Tao W Q. Heat transfer[M]. 4th ed. Beijing: Higher Education Press, 2006.
20	Ghalambaz M, Jamesahar E, Ismael M A, et al. Fluid-structure interaction study of natural convection heat transfer over a flexible oscillating fin in a square cavity[J]. International Journal of Thermal Sciences, 2017, 111: 256-273.
21	黄其, 章晓敏, 宓霄凌, 等. 三角槽道低Reynolds数脉动流与柔性壁耦合特性研究[J]. 化工学报, 2022, 73(5): 1964-1973.
	Huang Q, Zhang X M, Mi X L, et al. Coupling characteristics of low Reynolds number pulsating flow and flexible wall in triangular channel[J]. CIESC Journal, 2022, 73(5): 1964-1973.
22	Sun X, Ye Z H, Li J J, et al. Forced convection heat transfer from a circular cylinder with a flexible fin[J]. International Journal of Heat and Mass Transfer, 2019, 128: 319-334.
23	Souli M, Ouahsine A, Lewin L. ALE formulation for fluid-structure interaction problems[J]. Computer Methods in Applied Mechanics and Engineering, 2000, 190(5/6/7): 659-675.
24	谭涵林, 阮文俊, 步鹏飞, 等. 基于ALE方法的柔性飘带阻力特性研究[J]. 弹箭与制导学报, 2023, 43(4): 52-59.
	Tan H L, Ruan W J, Bu P F, et al. Study on drag characteristics of flexible ribbon based on ALE method[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2023, 43(4): 52-59.
25	施鎏鎏. 近壁方柱尾迹非定常特性的实验研究及本征正交分解分析[D]. 上海:上海交通大学, 2010.
	Shi L L. Experimental study and proper orthogonal decomposition analysis of unsteady wake characteristics of square columns near the wall[D]. Shanghai: Shanghai Jiao Tong University, 2010.
26	邹瑞. 基于嵌套网格方法的双圆柱流致振动分析[D]. 重庆: 重庆大学, 2019.
	Zou R. Research on flow-induced vibration of two circular cylinders based on overset grid[D]. Chongqing: Chongqing University, 2019.
27	李鹏, 高振勋, 蒋崇文. 重叠网格方法的研究进展[J]. 力学与实践, 2014, 36(5): 551-565.
	Li P, Gao Z X, Jiang C W. The progress of the overlapping grid techniques[J]. Mechanics in Engineering, 2014, 36(5): 551-565.
28	Turek S, Hron J. Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow[M] //Lecture Notes in Computational Science and Engineering. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007: 371-385.
29	胡世良, 鲁传敬, 何友声. 平板流固耦合振动的数值分析[J]. 上海交通大学学报, 2013, 47(10): 1487-1493, 1502.
	Hu S L, Lu C J, He Y S. Numerical analysis of fluid-structure interaction vibration for plate[J]. Journal of Shanghai Jiao Tong University, 2013,47(10): 1487-1493, 1502.
30	Wille R, Fernholz H. Report on the first European Mechanics Colloquium, on the Coanda effect[J]. Journal of Fluid Mechanics, 1965, 23: 801-819.

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