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设计构建了一排和三排阵列的八重准周期短条纹沟槽减阻结构，以及作为对比研究的无序和周期结构，并采用雷诺Navier-Stokes方程和RANG k-ε湍流模型，系统计算了这些结构表面的湍流边界层状态和总应力. 模拟结果显示：八重准周期沟槽结构相对于周期和无序结构具有更优的减阻效应，且为三排阵列时的减阻效果明显优于单排阵列. 这一结果得到了减阻实验的验证. 通过分析比较不同结构的流体边界层特性发现，八重准周期结构可有效抑制附面层的涡强度，减小湍流耗散速率，保持流体条纹相的稳定性. 结合二维光栅的夫琅禾费衍射波模型分析表明，八重准周期结构可减弱衍射谱在大角度方向上的谱强度，揭示出该结构抑制流体相干扰动波扩展的物理机制，并与流场分析结果相符合.We design two types of 8-fold quasi-period short groove structures which are arranged in single row and three rows respectively The flow field in the turbulent boundary layer and the total stress over these groove surfaces are numerically simulated by using Reynolds average Navier-Stokes equation and turbulence model. It is shown that the 8-fold quasi-periodic structure has good drag reduction effect compared with the periodic and disorder structures, especially for structure arranged in three rows. The results are also confirmed by the sheer stress measurements which are performed on substrates with the designed structures. By analyzing the distribution of flow field, we find that the quasi-periodic structure effectively inhibits the intensity of vortex, reduces the turbulent dissipation rate, and keeps the stripe phase stable. Furthermore, by using the two-dimensional grating model, it is found that the 8-fold quasi-periodic structure can reduce spectrum intensity in the large angle direction, revealing that the inhibition of the extension of coherence disturbance waves is responsible for the drag reduction effect, which is also confirmed by the flow field analysis.
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Keywords:
- groove structure /
- vortex /
- strip phase /
- 8-fold quasi-period
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[19] Wang P, Shao J L, Qin C S 2012 Acta Phys. Sin. 61 234701 (in Chinese) [王裴, 邵建立, 秦承森 2012 物理学报 61 234701]
[20] Daniello R J, Waterhouse N E, Rothstein J P 2009 Phys. Fluids 21 085103
[21] Han Z W, Zhang J Q, Chao G, Li W, Ren L Q 2011 Langmuir 28 2914
[22] Moradi H V, Floryan J M 2013 J. Fluid Mech. 716 280
[23] Wang X N, Geng X G, Zang D Y 2013 Acta Phys. Sin. 62 054701 (in Chinese) [王晓娜, 耿兴国, 臧渡洋 2013 物理学报 62 054701]
[24] Gao P, Geng X G, Ou X L, Xue W H 2009 Acta Phys. Sin. 58 421 (in Chinese) [高鹏, 耿兴国, 欧修龙, 薛文辉 2009 物理学报 58 421]
[25] Zhang M, Geng X G, Zhang Y, Wang X N 2012 Acta Phys. Sin. 61 194702 (in Chinese) [张盟, 耿兴国, 张瑶, 王晓娜 2006 物理学报 61 194702]
[26] Garc\’ia-Mayoral R, Jiménez J 2011 Phil. Trans. Soc. A 369 1414
[27] Jung C Y, Bhushan B 2010 J. Phys. 22 035104
[28] Xue W H, Geng X G, Li J, Li F, Wu J 2010 Chin. Phys. Lett. 27 104703
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[1] Sun M, Tian J, Li Z Y, Cheng B Y, Zhang D Z, Jin A Z, Yang H F 2006 Chin. Phys. Lett. 23 486
[2] Zhou P Q, Dong C H, Cao Y J 2006 Acta Phys. Sin. 55 6470 (in Chinese) [周培勤, 董纯红, 曹永军 2006 物理学报 55 6470]
[3] Park J Y, Ogletree D F, Salmeron M, Ribeiro R A 2006 Phys. Rev. B： Condens. Matter Mater. Phys. 74 24203
[4] Cao Y J, Yang X 2008 Acta Phys. Sin. 57 3620 (in Chinese) [曹永军, 杨旭 2008 物理学报 57 3260]
[5] Yuan Y H, Yang J H 2005 Chin. Phys. 14 1683
[6] Dai Y, Hu X, Song J, Yu B K, Qiu J R 2007 Chin. Phys. Lett. 24 1941
[7] Dong J W, Han P, Wang H Z 2003 Chin. Phys. Lett. 20 1936
[8] Dean B, Bhushan B 2012 Adv. Mech. 42 6
[9] Zhang D Y, Luo Y H, Li X, Chen H W 2011 J. Hydrodyn. B 23 204
[10] Hefner J N, Bushnel D M, Walsh M J 1983 Date Exchange Meeting on Viscous and Interacting Flow Field Effects Gottingen, West Germany, May 25-26, 1983 p11
[11] Wang J J, Fu S, Meng G Q 2001 The Latest Progress of Turbulence Research (Beijing: Science Press) pp230-233 (in Chinese) [王晋军, 符松, 梦庆国 2001 湍流研究最新进展 (北京: 科学出版社) 第230–233页]
[12] Liu Z Y, Hu H B, Song B W, Huang Q G 2009 J. Syst. Simlat. 21 6025 (in Chinese) [刘占一, 胡海豹, 宋宝维, 黄桥高 2009 系统仿真学报 21 6025]
[13] Garcia-Mayoral R, Jimenez J 2011 Phil. Trans. Roy. Soc. A 369 1412
[14] Choi K S 2000 Fluid Dyn. Res. 26 325
[15] Nugroho B, Hutchins N, Monty J P 2013 Int. J. Heat Fluid Flow 41 90
[16] EI-Samni O A, Chun H H, Yoon H S 2007 Int. J. Engineer. Sci. 45 436
[17] Strand J S, Goldstein D B 2011 J. Fluid Mech. 668 267
[18] Zhang Y H, Cheng Y S 1995 Acta Phys. Sin. 44 204 (in Chinese) [张玉河, 陈岩松 1995 物理学报 44 204]
[19] Wang P, Shao J L, Qin C S 2012 Acta Phys. Sin. 61 234701 (in Chinese) [王裴, 邵建立, 秦承森 2012 物理学报 61 234701]
[20] Daniello R J, Waterhouse N E, Rothstein J P 2009 Phys. Fluids 21 085103
[21] Han Z W, Zhang J Q, Chao G, Li W, Ren L Q 2011 Langmuir 28 2914
[22] Moradi H V, Floryan J M 2013 J. Fluid Mech. 716 280
[23] Wang X N, Geng X G, Zang D Y 2013 Acta Phys. Sin. 62 054701 (in Chinese) [王晓娜, 耿兴国, 臧渡洋 2013 物理学报 62 054701]
[24] Gao P, Geng X G, Ou X L, Xue W H 2009 Acta Phys. Sin. 58 421 (in Chinese) [高鹏, 耿兴国, 欧修龙, 薛文辉 2009 物理学报 58 421]
[25] Zhang M, Geng X G, Zhang Y, Wang X N 2012 Acta Phys. Sin. 61 194702 (in Chinese) [张盟, 耿兴国, 张瑶, 王晓娜 2006 物理学报 61 194702]
[26] Garc\’ia-Mayoral R, Jiménez J 2011 Phil. Trans. Soc. A 369 1414
[27] Jung C Y, Bhushan B 2010 J. Phys. 22 035104
[28] Xue W H, Geng X G, Li J, Li F, Wu J 2010 Chin. Phys. Lett. 27 104703
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