Jul. 2018

Article Contents

Chinese Optics> 2018> 11(4): 630-643.

SONG Fang-xi, MENG Wei-dong, XIA Yan, CHEN Yan, PU Xiao-yun. Measuring liquid-phase diffusion coefficient of aqueous sucrose solution using double liquid-core cylindrical lens[J]. Chinese Optics, 2018, 11(4): 630-643. doi: 10.3788/CO.20181104.0630

Citation:

SONG Fang-xi, MENG Wei-dong, XIA Yan, CHEN Yan, PU Xiao-yun. Measuring liquid-phase diffusion coefficient of aqueous sucrose solution using double liquid-core cylindrical lens[J].Chinese Optics, 2018, 11(4): 630-643.doi:10.3788/CO.20181104.0630

Citation:

SONG Fang-xi, MENG Wei-dong, XIA Yan, CHEN Yan, PU Xiao-yun. Measuring liquid-phase diffusion coefficient of aqueous sucrose solution using double liquid-core cylindrical lens[J].Chinese Optics, 2018, 11(4): 630-643.doi:10.3788/CO.20181104.0630

PDF( 2406 KB)

Measuring liquid-phase diffusion coefficient of aqueous sucrose solution using double liquid-core cylindrical lens

doi:10.3788/CO.20181104.0630

SONG Fang-xi^1,,
MENG Wei-dong^{1, 3},
XIA Yan¹,
CHEN Yan¹,
PU Xiao-yun^{1, 2,,}

1.
Department of Physics and Astronomy, Yunnan University, Kunming 650091, China
2.
International Joint Research Center for Photoelectronics Energy Materials, Yunnan University, Kunming 650091, China
3.
Key Laboratory of Quantum Information of Yunnan Province, Kunming 650091, China

Funds:

Applied Basic Research Key Project of Yunnan基金编号2016CYH05

Key Project on Electric Information and Next Generation IT Technology of Yunnan

More Information

Author Bio:
SONG Fang-xi(1992—), female, master degree student, mainly engaged in the study of liquid phase diffusion coefficient measurement. E-mail:329870938@qq.com
PU Xiao-yun(1957—), male, PhD, professor, mainly engaged in micro cavity laser and optical detection research. E-mail:xypu@163.com
Corresponding author:PU Xiao-yun, E-mail:xypu@163.com
Received Date:09 Jan 2018
Rev Recd Date:05 Mar 2018
Publish Date:01 Aug 2018

Abstract

Abstract

Based on the consideration of the high resolution of the spatial resolution of the refractive index of the double liquid-core cylindrical lens(DLCL), the liquid-phase diffusion coefficients of different concentrations of aqueous sucrose solution are measured at room temperature(25℃) using two methods. Method 1:equivalent RI(refractive index) method is used to calculate the liquid phase diffusion coefficient by recording the time-dependent change of a specific refractive index layer during diffusion. Method 2:instantaneous diffusion analytical method is used to determine the liquid diffusion coefficient by reading the relationship between image width and diffusion position in an instantaneous diffusion image. The front liquid core of the DLCL serves as a diffusion cell and a main imaging element, and the rear liquid core serves as an aplanatic auxiliary system. The spherical aberration at a particular thin liquid layer can be reduced as needed with a DLCL, and the spherical aberration advantage within a certain range of refractive index can also be reduced. Both methods have the characteristics of high measurement accuracy. The relative errors between the measured results and the literature values of the two methods are less than 1.3% and 3.9%, respectively, indicating that the measurement system is stable and reliable and the measurement results are accurate when the liquid-phase diffusion coefficient is measured with a DLCL.
- double liquid-core cylindrical lens,
- diffusion coefficient,
- diffusion imaging,
- spherical aberration,
- refractive index

FullText(HTML)

References (25)

References

[1]	CUSSLER E L. Diffusion:Mass Transfer in Fluid Systems[M]. 3rd Ed. London:Cambridge University Press, 2009.
[2]	CHHANIWAL V K, ANAND A, GIRHE S. New optical techniques for diffusion studies in transparent liquid solutions[J]. J. Opt. A:Pure& Appl. Opt., 2003, 5(5):S329-337. https://www.researchgate.net/publication/230994620_New_optical_techniques_for_diffusion_studies_in_transparent_liquid_solutions
[3]	WEISS N, LEEUWEN T G, KALKMAN J. Simultaneous and localized measurement of diffusion and flow using optical coherence tomography[J]. Opt. Express, 2015, 23(3):3448-3459. doi:10.1364/OE.23.003448
[4]	王振中, 王楠, 姚文静.低扩散系数对Pd77Cu6Si17合金易非晶化的影响[J].物理学报, 2010, 59(10):7431-7436. https://www.researchgate.net/publication/286595500_Effect_of_low_diffusion_coefficient_on_glass_phase_formation_in_Pd77Cu6Si17_alloy WANG ZH ZH, WANG N, YAO W J. Effect of low diffusion coefficient on glass phase formation in Pd77Cu6Si17 alloy[J]. Acta Phys. Sin., 2010, 59(10):7431-7436.(in Chinese) https://www.researchgate.net/publication/286595500_Effect_of_low_diffusion_coefficient_on_glass_phase_formation_in_Pd77Cu6Si17_alloy
[5]	DONEV A, NONAKA A, BHATTACHARJEE A K, et al.. Low mach number fluctuating hydrodynamics of multispecies liquid mixtures[J]. Physics of Fluids, 2015, 27(3):1085-1105. http://adsabs.harvard.edu/abs/2015PhFl...27c7103D
[6]	马友光, 朱春英, 何明霞, 等.氨基酸在水溶液中扩散系数的实验研究[J]. 技术, 2005, 29(2):145-147. https://www.sciencedirect.com/science/article/pii/S0065323308606270 MA Y G, ZHU C Y, HE M X, et al. The experimental study about the diffusivities of amino acids in aqueous solution[J]. Laser Technology, 2005, 29(2):145-147.(in Chinese) https://www.sciencedirect.com/science/article/pii/S0065323308606270
[7]	CRANK J. The Mathematics of Diffusion[M]. 2nd Ed. Oxford:Oxford University Press, 1975:2-26.
[8]	BREER J, GROOT K D, SCH NERT H. Diffusion in the diaphragm cell:continuous monitoring of the concentrations and determination of the differential diffusion coefficient[J]. Journal of Solution Chemistry, 2014, 43(1):71-82. doi:10.1007/s10953-013-0020-z
[9]	HE M G, ZHANG S, ZHANG Y, et al.. Development of measuring diffusion coefficients by digital holographic interferometry in transparent liquid mixtures[J]. Opt. Express, 2015, 23(9):10884-10889. doi:10.1364/OE.23.010884
[10]	CIPELLETTI L, BIRON J P, MARTIN M, et al.. Measuring arbitrary diffusion coefficient distributions of Nano-Objects by Taylor dispersion analysis[J]. Anal. Chem., 2015, 87(16):8489-8496. doi:10.1021/acs.analchem.5b02053
[11]	MEREAU C, CAVALIER A. Sarcolemma phospholipid structure investigated by immunogold electron microscopy and P NMP spectroscopy with lanthanide ions[J]. FEBS Letters, 2001, 509(3):417-422. doi:10.1016/S0014-5793(01)03199-4
[12]	YANG C, LI W, WU C, et al.. Laser light-scattering study of solution dynamics of water/cycloether mixtures[J]. Journal of Physical Chemistry B, 2004, 108(31):1794-1801. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.540.1295
[13]	CULBERTSON C T, JACOBSON S C, RANSEY J M, et al.. Diffusion coefficient measurements in microfluidic devices[J]. Talanta, 2002, 56(2):365-373. doi:10.1016/S0039-9140(01)00602-6
[14]	WANG J H. Application of a radioactive tracer method for diffusion study in some liquids[J]. Pramana, 1991, 37(2) 105-114. doi:10.1007/BF02875296
[15]	李强, 普小云.用毛细管成像法测量液相扩散系数-等折射率薄层测量方法[J].物理学报, 2013, 62(9):094206-6. http://wulixb.iphy.ac.cn/EN/Y2013/V62/I9/094206 LI Q, PU X Y. Measuring the diffusion coefficient of liquids by capillary imaging method:equivalent refractive index method[J]. Acta Phys. Sin., 2013, 62(9):094206-6.(in Chinese) http://wulixb.iphy.ac.cn/EN/Y2013/V62/I9/094206
[16]	孟伟东, 孙丽存, 翟影, 等.用液芯柱透镜快速测量液相扩散系数-折射率空间分布瞬态测量法[J].物理学报, 2015, 64(11):114205-7. MENG W D, SUN L C, ZHAI Y, et al.. Rapid measurement of the diffusion coefficient of liquidsusing a liquid-core cylindricallens:a method foranalysing an instantaneous diffusive picture[J]. Acta Phys. Sin., 2015, 64(11):114205-7.(in Chinese)
[17]	SUNL C, MENG W D, PU X Y. New method to measure liquid diffusivity byanalyzing an instantaneous diffusion image[J]. Opt. Express, 2015, 23(18):23155-23166. doi:10.1364/OE.23.023155
[18]	MENG W D, XIA Y, SONG F X, et al.. Double liquid-core cylindrical lens utilized to measure liquid diffusion coefficient[J]. Opt. Express, 2017, 25(5):5626-5640. doi:10.1364/OE.25.005626
[19]	李零印, 王一凡.液体变焦技术的发展与展望[J].中国光学, 2012, 5(6):578-582. http://www.opticsjournal.net/abstract.htm?id=OJ121224000186aGcJfL LI L Y, WANG Y F. Development and prospect of varifocal-liquid technique[J]. Chinese Optics, 2012, 5(6):578-582.(in Chinese) http://www.opticsjournal.net/abstract.htm?id=OJ121224000186aGcJfL
[20]	张鹰, 张新, 史广维, 等.液体透镜在变焦系统中的应用[J].中国光学, 2013, 6(1):46-56. http://www.opticsjournal.net/Abstract.htm?id=OJ130206000061gNjQmS ZHANG Y, ZHANG X, SHI G W, et al.. Applications of liquid lenses in zoom systems[J]. Chinese Optics, 2013, 6(1):46-56. http://www.opticsjournal.net/Abstract.htm?id=OJ130206000061gNjQmS
[21]	邢曼男, 白然, 普小云.精确测量微量液体折射率的新方法[J].光学精密工程, 2008, 16(7):1196-1202. https://www.researchgate.net/publication/292934966_Novel_measuring_method_for_refractive_index_of_micro-quantity_liquid XING MN, BAI R, PU X Y. Novel measuring method for refractive index of micro-quantity liquid[J]. Opt. Precision Eng., 2008, 16(7):1196-1202. https://www.researchgate.net/publication/292934966_Novel_measuring_method_for_refractive_index_of_micro-quantity_liquid
[22]	张宗权, 徐铭, 任俊鹏, 等.封闭玻璃管道内液体折射率的非接触测量[J].光学精密工程, 2016, 24(10):2408-2416. doi:10.3788/OPE. ZHANG Z Q, XU M, REN J P, et al..Non-contact measurement for liquid refractive index in a closed pipe[J]. Opt. Precision Eng., 2016, 24(10):2408-2416. doi:10.3788/OPE.
[23]	SUN L C, PU X Y. A novel visualization technique for measuring liquid diffusion coefficient based on asymmetric liquid-core cylindrical lens[J]. SCI Rep, 2016, 6(6):28264-1. https://www.researchgate.net/publication/305449483_A_novel_visualization_technique_for_measuring_liquid_diffusion_coefficient_based_on_asymmetric_liquid-core_cylindrical_lens
[24]	马有光, 段志青, 朱春英. 实时全息干涉法测量甘氨酸水溶液扩散系数[J].应用光学, 2004, 24(2):99-101. MA Y G, DUAN ZH Q, ZHU CH Y, et al.. Diffusivity measurement of glycine aqueous solution using real-time holographicinterferometry[J]. Applied Laser, 2004, 24(2):99-101.(in Chinese)
[25]	孙丽存, 孟伟东, 李强, 等.电子目镜显微镜景深的确定与测量[J].光学精密工程, 2013, 21(5):1151-1159. doi:10.3788/OPE. SUN L C, MENG W D, LI Q, et al.. Calculation and measurement of depth of field for microscope with electronic ocular[J]. Opt. Precision Eng., 2013, 21(5):1151-1159. doi:10.3788/OPE.