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A novel method for measuring the diffusion coefficient of liquids is introduced in this paper. A transparency capillary is used as both diffusive pool and imaging element, spatially resolving ability of the capillary in measuring refractive index of liquid is utilized to observe and record diffusive process directly, diffusion coefficient of liquid is calculated based on Fick second law and acquired experimental data. With the new method, the diffusive process of pure glycerol in water at 25 ℃ is investigated, the obtained diffusion coefficient is 0.898×10-5 cm2/s, which is of a relative error 4.47% compared with the literature value measured by the holographic interference. The influence of measurement accuracy of refractive index and capillary viscosity on measuring result is also analyzed. The method is characterized by micro-quantity sample required, faster measurement and better stability, which opens a new way to measure diffusion coefficient of liquid medium.
[1] Cussler E L 1997 Diffusion-Mass Transfer in Fluid Systems (Cambridge: Cambridge University Press) p13
[2] Zuo M, Han Y L, Qi L Chen Y 2007 Chinese Science Bulletin 52 3325
[3] Wang Z Z, Wang N, Yao W J 2010 Acta Phys. Sin. 59 7431 (in Chinese) [王振中, 王楠, 姚文静 2010 物理学报 59 7431]
[4] Ma Y G, Zhu C Y, He M X, Ming H W, Mi L 2005 Laser Technology 29 145 (in Chinese) [马友光, 朱春英, 何明霞, 明宏伟, 宓磊 2005 激光技术 29 145]
[5] Zhao C W, Ma P S, He M X 2002 Chemical Industry and Engineering 19 374 (in Chinese) [赵长伟, 马沛生, 何明霞 2002 化学工业与工程 19 374]
[6] Bek W J, Muttzal M K 2006 Transport Phenomena (Revised 2nd Edition) (New York: Wiley) p75
[7] Cheng Y, Wei L, Chi W 2004 J. Phys. Chem. B 108 11866
[8] Christopher T C, Stephen C J, Michael R 2002 Talanta 56 365
[9] Wang J H 1952 J. Am. Chem. Soc. 74 182
[10] Kazem J G, Mohammad T T, Nastaran M 2004 J. Phys. D: Appl. Phys. 37 1993
[11] Vani K C, Arun A, Sanjay G, Dhiraj P, Subrahmanyam N, Narayanamurthy C S 2003 J. Opt. A: Pure Appl. Opt. 5 S329
[12] Li Q, Han G H, Xing M N, Pu X Y 2009 Acta Optica Sinica 29 2468 (in Chinese) [李强, 韩广辉, 邢曼男,普小云 2009 光学学报 29 2468]
[13] Elizabeth E H, Michael H A, Anne H, Chris D B 2011 Fluid Phase Equilibria 303 45
[14] Zhao C W 2003 Ph. D. Dissertation (Tianjin: Tientsin University) (in Chinese) [赵长伟 2003 博士学位论文 (天津: 天津大学)]
[15] Wang H Y, Zhang Z H, Liao W, Song X F, Guo Z J, Liu F F 2012 Acta Phys. Sin. 61 044208 (in Chinese) [王华英, 张志会, 廖薇, 宋修法, 郭中甲, 刘飞飞 2012 物理学报 61 044208]
[16] Wang X H, Lin L, Zhang Y 2007 Chin. Phys. 16 3285
[17] Mueller T J, Delaurier J D 2003 Annual Review of Fluid Mechanics 35 89
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[1] Cussler E L 1997 Diffusion-Mass Transfer in Fluid Systems (Cambridge: Cambridge University Press) p13
[2] Zuo M, Han Y L, Qi L Chen Y 2007 Chinese Science Bulletin 52 3325
[3] Wang Z Z, Wang N, Yao W J 2010 Acta Phys. Sin. 59 7431 (in Chinese) [王振中, 王楠, 姚文静 2010 物理学报 59 7431]
[4] Ma Y G, Zhu C Y, He M X, Ming H W, Mi L 2005 Laser Technology 29 145 (in Chinese) [马友光, 朱春英, 何明霞, 明宏伟, 宓磊 2005 激光技术 29 145]
[5] Zhao C W, Ma P S, He M X 2002 Chemical Industry and Engineering 19 374 (in Chinese) [赵长伟, 马沛生, 何明霞 2002 化学工业与工程 19 374]
[6] Bek W J, Muttzal M K 2006 Transport Phenomena (Revised 2nd Edition) (New York: Wiley) p75
[7] Cheng Y, Wei L, Chi W 2004 J. Phys. Chem. B 108 11866
[8] Christopher T C, Stephen C J, Michael R 2002 Talanta 56 365
[9] Wang J H 1952 J. Am. Chem. Soc. 74 182
[10] Kazem J G, Mohammad T T, Nastaran M 2004 J. Phys. D: Appl. Phys. 37 1993
[11] Vani K C, Arun A, Sanjay G, Dhiraj P, Subrahmanyam N, Narayanamurthy C S 2003 J. Opt. A: Pure Appl. Opt. 5 S329
[12] Li Q, Han G H, Xing M N, Pu X Y 2009 Acta Optica Sinica 29 2468 (in Chinese) [李强, 韩广辉, 邢曼男,普小云 2009 光学学报 29 2468]
[13] Elizabeth E H, Michael H A, Anne H, Chris D B 2011 Fluid Phase Equilibria 303 45
[14] Zhao C W 2003 Ph. D. Dissertation (Tianjin: Tientsin University) (in Chinese) [赵长伟 2003 博士学位论文 (天津: 天津大学)]
[15] Wang H Y, Zhang Z H, Liao W, Song X F, Guo Z J, Liu F F 2012 Acta Phys. Sin. 61 044208 (in Chinese) [王华英, 张志会, 廖薇, 宋修法, 郭中甲, 刘飞飞 2012 物理学报 61 044208]
[16] Wang X H, Lin L, Zhang Y 2007 Chin. Phys. 16 3285
[17] Mueller T J, Delaurier J D 2003 Annual Review of Fluid Mechanics 35 89
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