基于LBM的发汗孔隙结构内流动换热性能

陈翔翔; 李治达; 李芹; 郑浩冉; 董威

doi:10.13224/j.cnki.jasp.20210425

基于LBM的发汗孔隙结构内流动换热性能

doi: 10.13224/j.cnki.jasp.20210425

上海交通大学机械与动力工程学院，上海 200240

详细信息

作者简介:
陈翔翔（1996-），男，硕士生，主要从航空发动机流动与传热技术研究

通讯作者:
董威（1970-），男，教授、博士生导师，博士，主要从航空发动机流动与传热技术研究。E-mail:wdong@sjtu.edu.cn

中图分类号: V231.1
计量
- 文章访问数: 139
- HTML浏览量: 132
- PDF量: 70
- 被引次数: 0
出版历程
- 收稿日期: 2021-08-09
- 网络出版日期: 2022-11-03

Flow and heat transfer performance in transpiration pore structure based on LBM

School of Mechanical Engineering，Shanghai Jiao Tong University，Shanghai 200240，China

摘要

摘要:
以发汗冷却技术为背景，采用D3Q19格子玻尔兹曼方法程序，在孔隙尺度下研究了多孔介质结构对结构温度场的影响。针对球形颗粒堆积结构和随机结构这两种常用的多孔结构，分别计算分析了渗透率和固体温度分布。结果表明：对于颗粒堆积结构，当颗粒规则排列时，其固体温度分布呈明显的阶梯状；而颗粒无规则排列时，固体温度变化趋势比较平稳，并且随着颗粒直径的增大，渗透率增大，固体温度降低。对于随机多孔结构，随着孔隙尺寸减小，渗透率减小，固体温度升高。在0.3～0.5的孔隙率范围内，颗粒堆积结构和随机结构由于内部对流换热强度的不同，固体温度具有不同的变化特点。
- 发汗冷却 /
- 多孔介质 /
- 格子Boltzmann方法 /
- 孔隙尺度 /
- 传热
Abstract:
With the background of transpiration cooling technology, the influence of porous media structure on structure temperature field was investigated at pore scale by using D3Q19 lattice Boltzmann method program. The permeability and solid temperature distributions of two commonly used porous structures: spherical particle packing structure and random structure, were simulated and analyzed respectively. The results showed that for the particle packing structure, when the particles were arranged regularly, the solid temperature distribution showed an obvious ladder shape; when the particles were arranged irregularly, the solid temperature change trend was relatively stable, and with the increase of particle diameter, the permeability increased and the solid temperature decreased. For random porous structure, with the decrease of pore size, permeability decreased and solid temperature increased. In the porosity range of 0.3—0.5, due to the different internal convection heat transfer intensity of particle packing structure and random structure, the solid temperature had different variation characteristics.
- transpiration cooling /
- porous media /
- lattice Boltzmann method /
- pore scale /
- heat transfer

HTML

图 1 发汗冷却示意图

Figure 1. Schematic diagram of transpiration cooling

下载: 全尺寸图片幻灯片

图 2 D3Q19离散速度示意图

Figure 2. Discrete velocity direction of D3Q19

下载: 全尺寸图片幻灯片

图 3 重构的多孔介质模型

Figure 3. Reconstructed porous media model

下载: 全尺寸图片幻灯片

图 4 烧结后的颗粒融合现象

Figure 4. Phenomenon of particle fusion after sintering

下载: 全尺寸图片幻灯片

图 5 计算模型示意图（单位：mm）

Figure 5. Schematic diagram of simulation model （unit：mm）

下载: 全尺寸图片幻灯片

图 6 验证算例结果的流线图（方腔自然对流）

Figure 6. Streamlines of the validation example （square cavity natural convection）

下载: 全尺寸图片幻灯片

图 7 LBM结果与文献[21]的结果的对比

Figure 7. Comparison between LMB and Ref.[21] results

下载: 全尺寸图片幻灯片

图 8 规则排列和不规则排列球形颗粒多孔介质内部的温度分布

Figure 8. Temperature distribution in a porous media with regular and irregularly arranged spherical particles

下载: 全尺寸图片幻灯片

图 9 球形颗粒多孔介质的颗粒大小的影响（无规则，n=0.4）

Figure 9. Influence of particle size on spherical particles porous media （irregular， n=0.4）

下载: 全尺寸图片幻灯片

图 10 c_d对QSGS生成的多孔介质的影响

Figure 10. Effect of c_d on QSGS generated porous media

下载: 全尺寸图片幻灯片

图 11 c_d对QSGS构造的多孔介质的影响 (n=0.4)

Figure 11. Influence of c_d on porous media constructed by QSGS (n=0.4)

下载: 全尺寸图片幻灯片

图 12 孔隙率的影响

Figure 12. Influence of porosity

下载: 全尺寸图片幻灯片

图 13 孔隙率与渗透率的关系

Figure 13. Relationship between porosity and permeability

下载: 全尺寸图片幻灯片

图 14 y方向中截面速度矢量图

Figure 14. Velocity vector of cross section in y direction

下载: 全尺寸图片幻灯片

表 1 方腔自然对流的LBM结果与基准解的比较

Table 1. Comparison of LBM results and reference solutions for natural convection in a square cavity

Ra 数据来源 Nu_max y_Nu Nu_ave

10⁴ LBM结果 3.5656 0.8615 2.2608
文献[19] 3.5309 0.8531 2.2448
10⁵ LBM结果 7.7716 0.9231 4.5271
文献[19] 7.7201 0.918 4.5216

下载: 导出CSV

参考文献(22)

[1]	GULLI S,DDALENA M L. Arc-jet testing of a variable-transpiration-cooled and uncoated carbon–carbon nose cone[J]. Journal of Spacecraft and Rockets,2019,56(3): 780-788. doi: 10.2514/1.A34176
[2]	LIU Yuanqing,JIANG Peixue,XIONG Yanbin,et al. Experimental and numerical investigation of transpiration cooling for sintered porous flat plates[J]. Applied Thermal Engineering,2013,50(1): 997-1007. doi: 10.1016/j.applthermaleng.2012.08.028
[3]	熊宴斌,祝银海,姜培学,等. 单相液体发汗冷却规律实验[J]. 航空动力学报,2013,28(9): 1956-1961. doi: 10.13224/j.cnki.jasp.2013.09.032 XIONG Yanbin,ZHU Yinhai,JIANG Peixue,et al. Experiment of transpiration cooling rules of single phase liquid[J]. Journal of Aerospace Power,2013,28(9): 1956-1961. (in Chinese) doi: 10.13224/j.cnki.jasp.2013.09.032
[4]	马杰,林佳,王建华. 液态水相变发散冷却的实验[J]. 航空动力学报,2014,29(3): 556-562. doi: 10.13224/j.cnki.jasp.2014.03.011 MA Jie,LIN Jia,WANG Jianhua. Experiment on transpiration cooling with phase change of liquid water[J]. Journal of Aerospace Power,2014,29(3): 556-562. (in Chinese) doi: 10.13224/j.cnki.jasp.2014.03.011
[5]	金韶山. 液体火箭发动机推力室及钝体头锥发汗冷却研究[D]. 北京: 清华大学, 2008. JIN Shaoshan. Research on transpiration cooling of liquid rocket thrust chamber and blunt nose cone[D]. Beijing: Tsinghua University, 2008. (in Chinese)
[6]	NIELD D A, BEJAN A. Convection in porous media[M]. New York: Springer, 2013.
[7]	KOZENY J. Uber kapillare leitung des wasser im boden[J]. Sitzungsber Akad Wiss Wien,1927,136: 271-306.
[8]	LEE S L,YANG J H. Modeling of Darcy-Forchheimer drag for fluid flow across a bank of circular cylinders[J]. International Journal of Heat and Mass Transfer,1997,40(13): 3149-3155. doi: 10.1016/S0017-9310(96)00347-X
[9]	SHAO Baoli,WANG Shuyan,TIAN Ruichao,et al. FSP-DDF coupling model of LBM for the fluid flow and heat transfer in porous media[J]. Applied Thermal Engineering,2019,157: 113698.1-113698.10.
[10]	LI Qiang,ZHAO Kai,XUAN Yimin. Simulation of flow and heat transfer with evaporation in a porous wick of a CPL evaporator on pore scale by lattice Boltzmann method[J]. International Journal of Heat and Mass Transfer,2011,54(13/14): 2890-2901.
[11]	LIU Zhenyu,WU Huiying. Pore-scale study on flow and heat transfer in 3D reconstructed porous media using micro-tomography images[J]. Applied Thermal Engineering,2016,100: 602-610. doi: 10.1016/j.applthermaleng.2016.02.057
[12]	KAN Ankang,MAO Shang,WANG Ning,et al. Simulation and experimental study on thermal conductivity of nano-granule porous material based on lattice-boltzmann method[J]. Journal of Thermal Science,2021,30(1): 248-256. doi: 10.1007/s11630-019-1218-1
[13]	QIAN Yuehong,D’HUMIERES D,LALLEMAND P. Lattice BGK models for Navier-Stokes equation[J]. Europhysics Letters,1992,17(6): 479-484. doi: 10.1209/0295-5075/17/6/001
[14]	CHEN Xi,HAN Peng. A note on the solution of conjugate heat transfer problems using SIMPLE-like algorithms[J]. International Journal of Heat and Fluid Flow,2000,21(4): 463-467. doi: 10.1016/S0142-727X(00)00028-X
[15]	WANG Yuzhang,LI Jiali,LIU Hongzhao,et al. Study on thermal resistance performance of 8YSZ thermal barrier coatings[J]. International Journal of Thermal Sciences,2017,122: 12-25. doi: 10.1016/j.ijthermalsci.2017.08.006
[16]	WANG Moran,WANG Jinku,PAN Ning,et al. Mesoscopic predictions of the effective thermal conductivity for microscale random porous media[J]. Physical Review: E Statistical Nonlinear and Soft Matter Physics,2007,75(3): 036702.1-036702.10.
[17]	KRÜGER T, KUSUMAATMAJA H, KUZMIN A, et al. The lattice Boltzmann method[M]. Cham, Switzerland: Springer, 2017: 265-282.
[18]	GONG Shuai,CHENG Ping. Direct numerical simulations of pool boiling curves including heater's thermal responses and the effect of vapor phase's thermal conductivity[J]. International Communications in Heat and Mass Transfer,2017,87: 61-71. doi: 10.1016/j.icheatmasstransfer.2017.06.023
[19]	HORTMANN M,PERIC M,SCHEUERER G. Finite volume multigrid prediction of laminar natural convection: bench-mark solutions[J]. International Journal for Numerical Methods in Fluids,1990,11(2): 189-207. doi: 10.1002/fld.1650110206
[20]	ZHANG Mingzhong,YE Guang,BREUGEL K V. Microstructure-based modeling of permeability of cementitious materials using multiple-relaxation-time lattice boltzmann method[J]. Computational Materials Science,2013,68: 142-151. doi: 10.1016/j.commatsci.2012.09.033
[21]	VAN DER HOEF M A,BEETSTRA R,KUIPERS J A M. Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: results for the permeability and drag force[J]. Journal of Fluid Mechanics,2005,528: 233-254. doi: 10.1017/S0022112004003295
[22]	KOCH D L,HILL R J. Inertial effects in suspension and porous-media flows[J]. Annual Review of Fluid Mechanics,2001,33: 619-647. doi: 10.1146/annurev.fluid.33.1.619