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Measurement of wall shear stress (WSS) has important significance in many fields, such as spacecraft surface flow visualization and drag reduction of solid-liquid interface. Various measuring methods have been developed with the rapid development of micro and nano technology. This paper focuses on the measurement of WSS by using nematic liquid crystal coating. A quantitative model is built to describe the relationship between the variations of director orientation and the WSS based on the curvature elasticity theory of liquid crystal. Then an experiment setup is built to verify this model using 5 CB and 7 CB through the optical method. There is good consistence between the theoretical model and experiment results. Finally, the WSS measuring limits and influencing factors are discussed such as the thickness of the liquid crystal layer, the elastic coefficient of the molecule and measurement resolution.
[1] Naughton J W, Sheplak M 2002 Progress in Aerospace Sciences 38 515
[2] Wang X, Zhang X J, Meng Y G, Wen S Z 2009 China Mechanical Engineering 20 2081
[3] Wang X, Zhang X J, Meng Y G, Wen S Z 2009 Tribology 29 200
[4] Wang X, Zhang X J, Meng Y G, Wen S Z 2009 Nanotechnology and Precision Engineering 7 428
[5] Wang X, Zhang X J, Meng Y G, Wen S Z 2008 Journal of Tsinghua University (Science and Technology) 48 1302
[6] Xiong Y, Zhang X J, Zhang X H, Wen S Z 2010 Acta Phys. Sin. 59 7998 (in Chinese) [熊毅, 张向军, 张晓昊, 温诗铸 2010 物理学报 59 7978]
[7] Lu H F, Jiang C Y, Deng J J, Ma B H, Yuan W Z 2010 Chin. J. Mech. Eng. 46 54
[8] Heng Z, Jian Q, Ming X, Cheng H, Jiang W M 2008 Journal of Experiments in Fluid Mechanics 22 94
[9] Tanner L H, Blows L G 1976 Journal of Physics E Scientific Instruments 9 194
[10] Fukang J 1997 Proceedings of the Tenth Annual International Workshop on Micro Electro Mechanical Systems Nagoya, January 26-30, 1997 p465
[11] Lofdahl L, Gad-el-Hak M 1999 Measurement Science {& Technology} 10 665
[12] Buttsworth D R, Elston S J, Jones T V 1998 Journal of Turbomachinery-Transactions of the Asme 120 847
[13] Buttsworth D R, Elston S J, Jones T V 1998 Measurement Science {& Technology} 9 1856
[14] Reda D C, Wilder M C, Farina D J, Zilliac G 1997 Aiaa Journal 35 608
[15] Fujisawa N, Oguma Y, Nakano T 2009 Measurement Science {& Technology} 20 065403
[16] Parmar D S 1991 Rev. Sci. Instru. 62 474
[17] Fujisawa N, Aoyama A, Kosaka S 2003 Measurement Science {& Technology} 14 1655
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[1] Naughton J W, Sheplak M 2002 Progress in Aerospace Sciences 38 515
[2] Wang X, Zhang X J, Meng Y G, Wen S Z 2009 China Mechanical Engineering 20 2081
[3] Wang X, Zhang X J, Meng Y G, Wen S Z 2009 Tribology 29 200
[4] Wang X, Zhang X J, Meng Y G, Wen S Z 2009 Nanotechnology and Precision Engineering 7 428
[5] Wang X, Zhang X J, Meng Y G, Wen S Z 2008 Journal of Tsinghua University (Science and Technology) 48 1302
[6] Xiong Y, Zhang X J, Zhang X H, Wen S Z 2010 Acta Phys. Sin. 59 7998 (in Chinese) [熊毅, 张向军, 张晓昊, 温诗铸 2010 物理学报 59 7978]
[7] Lu H F, Jiang C Y, Deng J J, Ma B H, Yuan W Z 2010 Chin. J. Mech. Eng. 46 54
[8] Heng Z, Jian Q, Ming X, Cheng H, Jiang W M 2008 Journal of Experiments in Fluid Mechanics 22 94
[9] Tanner L H, Blows L G 1976 Journal of Physics E Scientific Instruments 9 194
[10] Fukang J 1997 Proceedings of the Tenth Annual International Workshop on Micro Electro Mechanical Systems Nagoya, January 26-30, 1997 p465
[11] Lofdahl L, Gad-el-Hak M 1999 Measurement Science {& Technology} 10 665
[12] Buttsworth D R, Elston S J, Jones T V 1998 Journal of Turbomachinery-Transactions of the Asme 120 847
[13] Buttsworth D R, Elston S J, Jones T V 1998 Measurement Science {& Technology} 9 1856
[14] Reda D C, Wilder M C, Farina D J, Zilliac G 1997 Aiaa Journal 35 608
[15] Fujisawa N, Oguma Y, Nakano T 2009 Measurement Science {& Technology} 20 065403
[16] Parmar D S 1991 Rev. Sci. Instru. 62 474
[17] Fujisawa N, Aoyama A, Kosaka S 2003 Measurement Science {& Technology} 14 1655
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