Numerical simulation for micro-scale flow field with porous medium model
Jin Wen1,2, Zhang Hongyan1, He Wenbo3
(1.School of Environment and Municipal Engineering, Xi′an Architectural and Technological University, Xi′an, Shaanxi 710055, China; 2.Department of Power Engineering, Xi′an Aeronautical College, Xi′an, Shaanxi 710077, China; 3.School of Energy and Power Engineering, Xi′an Jiaotong University, Xi′an, Shaanxi 710049, China)
Abstract: A novel numerical method for simulating micro-scale flow field was established mainly by adopting porous medium model to simulate wall roughness elements. Thickness of porous media was converted by the wall relative roughness, and drag coefficient was determined by flow state as well as resistance of porous media. Under Reynolds number of 100 and 300 respectively, various models were applied to simulate the flow field of square-section micro-channel with side length of 600 μm. Comparison between results of simulation and those of Micro-PIV experiment indicated that, realizable k-ε turbulence model combining porous medium model was most effective for micro-channel flow field simulation, while standard k-ε turbulence model and RNG k-ε turbulence model gave results close to experimental ones with somehow deviations. However, standard k-ω turbulence model and SST k-ω turbulence model exhibited much poor capability in such micro-scale simulations.
金文, 张鸿雁, 何文博. 多孔介质壁面条件下微尺度流动的数值模拟[J]. 排灌机械工程学报, 2010, 28(3): 271-276.
Jin Wen, Zhang Hongyan, He Wenbo. Numerical simulation for micro-scale flow field with porous medium model. Journal of Drainage and Irrigation Machinery Engin, 2010, 28(3): 271-276.
[1]Mala G M, Li Dongqing. Flow characteristics of water in microtubes[J]. Int J Heat and Fluid Flow,1999, 20(2):142-148.[2]Palau Salvador G, Arviza Valverde J, Bralts V F. Hydraulic flow behaviour through an inline emitter labyrinth using CFD techniques[C]∥2004 ASAE/CSAE Annual Meeting Paper No. 042252.Ottawa, Ontario, Canada, 2004: 3127-3135.[3]李永欣, 李光永,邱象玉, 等. 迷宫滴头水力特性的计算流体动力学模拟[J]. 农业工程学报, 2005,21(3):12-16.Li Yongxin, Li Guangyong, Qiu Xiangyu, et al. Modeling of hydraulic characteristics through labyrinth emitter in drip irrigation using computational fluid dynamics[J]. Transactions of the CSAE, 2005,21(3):12-16.(in Chinese)[4]王福军, 王文娥. 滴头流道CFD分析的研究进展与问题[J]. 农业工程学报, 2006,22(7):188-191.Wang Fujun, Wang Wen′e. Reserch progress in analysis of flow passage in irrigation emitters using Computational Fluid Dynamics techniques[J]. Transactions of the CSAE, 2006,22(7):188-191.(in Chinese) [5]王新坤,李亚飞.单翼迷宫灌水器进口流场数值模拟与结构优化[J]. 排灌机械, 2009, 27(1): 60-63.Wang Xinkun, Li Yafei. Numerical calculation and structural optimization for inlet flow field of single wing labyrinth drip irrigation emitter[J]. Drainage and Irrigation Machinery, 2009, 27(1): 60-63.(in Chinese)[6]Wang Haoli, Wang Yuan. Flow in microchannels with rough walls: flow pattern and pressure drop[J]. Journal of Micromechanics and Microengineering, 2007,17(3):586-596.[7]Wang Haoli, Wang Yuan. Influence of three-dimensional wall roughness on the laminar flow in microtube[J]. International Journal of Heat and Fluid Flow, 2007,28(2):220-228.[8]王元, 金文, 何文博. 锯齿型微通道内流流场的微尺度粒子图像测量[J]. 西安交通大学学报, 2009, 43(9): 109-113.Wang Yuan, Jin Wen, He Wenbo. Research on flow velocity field in jagged micro-channel with Micro-PIV[J]. Journal of Xi′an Jiaotong University, 2009, 43(9): 109-113.(in Chinese)[9]金文, 张鸿雁, 何文博. 微灌滴头平角齿形微通道流动实验研究[J]. 实验流体力学, 2010,24(1): 15-19.Jin Wen, Zhang Hongyan, He Wenbo. Experimental research on flow in jagged channel with flat top of micro-irrigation emitter[J]. Journal of Experiments in Fluid Mechanics, 2010,24(1):15-19.(in Chinese)[10]金文, 张鸿雁. 灌水器内流道流场Micro-PIV试验分析[J]. 农业工程学报, 2010,26(2): 12-17.Jin Wen, Zhang Hongyan. Micro-PIV analysis of flow fields in flow channel of emitter[J]. Transactions of the CSAE, 2010,26(2):12-17.(in Chinese) [11]郝鹏飞,何枫,朱克勤. 微管道内湍流转捩的实验研究[J]. 工程力学, 2006,23(S1):30-34.Hao Pengfei, He Feng, Zhu Keqin. Experimental study of transitional and turbulent flow in a microtube[J]. Engineering Mechanics, 2006,23(S1):30-34.(in Chinese)