Measuring Diffusion Coefficients of Water-soluble Phosphate Fertilizer Based on a Liquid-core Cylindrical Lens

ZHOU Zhihe, LIU Zhe, LI Li, MENG Weidong, PU Xiaoyun

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Chinese Journal of Light Scattering ›› 2021, Vol. 33 ›› Issue (2) : 171-178. DOI: 10.13883/j.issn1004-5929.202102009
Theories of Light Scattering

Measuring Diffusion Coefficients of Water-soluble Phosphate Fertilizer Based on a Liquid-core Cylindrical Lens

  • ZHOU Zhihe, LIU Zhe, LI Li, MENG Weidong*, PU Xiaoyun*
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Abstract

The diffusion of phosphorus fertilizer in water solution is one of main reasons for the eutrophication of lake water. Based on a liquid-core cylindrical lens, the liquid diffusion coefficients at room temperature of three aqueous phosphorus fertilizers, that are diammonium hydrogen phosphate (DAP), ammonium dihydrogen phosphate (MAP) and potassium dihydrogen phosphate (KDP), have been measured by using an optical method called the shift of thin layer with equivalent refractive index (RI), the measured results are DDAP=(1.012±0.019)×10-5cm2/s,DMAP=(1.030±0.042)×10-5cm2/s and DKDP=(1.019±0.097)×10-5cm2/s, respectively. The Taylor dispersion method is used to measure the same phosphorus fertilizers to verify the measured results. The measurements of diffusion coefficients of three water-soluble phosphate fertilizers are useful for establishing and solving pollution model of lake water, which is of important significance both in science and environmental protection.

Key words

Liquid diffusion coefficient / liquid-core cylindrical Lens / the shift of thin layer with equivalent RI / phosphorus fertilizer / eutrophication of lake water

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ZHOU Zhihe, LIU Zhe, LI Li, MENG Weidong, PU Xiaoyun. Measuring Diffusion Coefficients of Water-soluble Phosphate Fertilizer Based on a Liquid-core Cylindrical Lens. Chinese Journal of Light Scattering. 2021, 33(2): 171-178 https://doi.org/10.13883/j.issn1004-5929.202102009

References

[1]Schindler D W,Hecky R E,Findlay D L,et al.Eutrophication of lakes cannot be controlled by reducing nitrogen input:Results of a 37-year whole-ecosystem experiment [J]. Proceedings of the National Academy of Science of the United States of America,2008,105(32):11254-11258.
[2]Carpenter S R,Caraco N F,Correll D L,et al. Nonpoint pollution of surface waters with phosphorus and nitrogen [J]. Ecological Applications,1998,8(3):559-568.
[3]王绍亭.动量、热量与质量传递[M].天津:天津科学技术出版社,1986:16-20.
[4]Crank J. The mathematics of diffusion [M]. Oxford: Oxford university press, 1979: 1.
[5]Cussler E L, Cussler E L. Diffusion: mass transfer in fluid systems [M]. Cambridge university press, 2009.
[6]Mills R, Woolf L A, Watts R O. Simplified procedures for diaphragm—cell diffusion studies[J]. AIChE Journal, 1968, 14(4): 671-673.
[7]Kegeles G, Gosting L J. The theory of an interference method for the study of diffusion[J]. Journal of the American Chemical Society, 1947, 69(10): 2516-2523.
[8]Long D A, Long D A. Raman spectroscopy[M]. New York: McGraw-Hill, 1977.
[9]Bardow A, Göke V, Koβ H J,et al. Concentration-dependent diffusion coefficients from a single experiment using model-based Raman spectroscopy[J]. Fluid Phase Equilibria, 2005, 228: 357-366.
[10]Taylor D G, Bushell M C. The spatialmapping of translational diffusion coefficients by the NMR imaging technique[J]. Physics in Medicine & Biology, 1985, 30(4): 345.
[11]Taylor G. Dispersion of Soluble Matter in Solvent Flowing Slowly through a Tube[J]. Proceedings of the Royal Society ofLondon, Series A, 1953, 219(1137):186-203.
[12]孙丽存,普小云,孟伟东,等.基于非对称液芯柱透镜精确测量液体折射率及液相扩散系数的方法:中国,ZL201310412166.X[P].2015.06.24.
[13]孙丽存.用液芯柱透镜测量液相扩散系数的研究[D].中国:云南大学,2016.
[14]朱发庆.非规则湖岸湖泊水质扩散模式[J].上海环境科学,1996,15(12):18-20.
[15]王铎. 滇池流域污染源归因识别与新时期治理策略[J]. 绿色科技,2017,(2):28-31.
[16]Zhou Z, OUYANG Y, Li Y, et al. Estimating impact of rainfall change on hydrological processes in Jianfengling rainforest watershed, China using BASINS - HSPF - CAT modeling system[J]. Ecological Engineering,2017,105:87-94.
[17]魏利.基于有限差分法快速测量随浓度变化的液相扩散系数研究[D].昆明:云南大学,2020.
[18]A. Alizadeh, C.A. Nieto de Castro, and W.A. Wakeham. The Theory of the Taylor Dispersion Technique for Liquid Diffusivity Measurements[J]. International Journal of Thermophysics,1980,84(3):243-282.
[19]陈普敏,韩善鹏,李鸿英,等.采用泰勒分散法测量蜡分子扩散系数[J].化工学报,2014,65(2): 605-612.
[20]Rachel Callendar, Derek G.Leaist. Diffusion Coefficients for Binary,Ternary, and Polydisperse Solutions from Peak-Width Analysis of Taylor Dispersion Profiles[J]. Journal of Solution Chemistry,2006:353-379.
[21]Thomas G, Jochen W. Ternary Diffusion Coefficients of Glycerol + Acetone + Water by Taylor Dispersion Measurements at 298.15K[J]. J.Chem. Eng. Data,2005,50:1399.
[22]Cottet H, Biron J P,et al. Taylor Dispersion analysis of mixtures[J]. Anal.Cham.,2007,79:9066-9073.
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