开放式光生物反应器内光传输数学模型研究

doi:10.11978/j.issn.1009-5470.2013.06.006

热带海洋学报 ›› 2013, Vol. 32 ›› Issue (6): 36-41.doi: 10.11978/j.issn.1009-5470.2013.06.006cstr: 32234.14.j.issn.1009-5470.2013.06.006

开放式光生物反应器内光传输数学模型研究

陈智杰¹, 姜泽毅^{1, 2}, 张欣欣^{1, 3}

1. 北京科技大学机械工程学院, 北京 100083; 2. 北京科技大学北京市高校节能与环保工程研究中心, 北京 100083; 3. 北京科技大学冶金工业节能减排北京市重点实验室, 北京 100083

收稿日期:2012-07-26 修回日期:2012-11-27 出版日期:2013-12-20 发布日期:2014-01-21
作者简介:陈智杰(1980—), 男, 福建省莆田市人, 博士研究生, 从事能源微藻规模化相关研究。E-mail: rockljj@126.com
基金资助:
中央高校基本科研业务费专项资金资助项目(FRF-AS-10-005B)

Mathematical model of light transfer for open photobioreactor

CHEN Zhi-jie¹, JIANG Ze-yi^{1, 2}, ZHANG Xin-xin^{1, 3}

1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China; 2. Beijing Engineering Research Center for Energy Saving and Environmental Protection, University of Science and Technology Beijing, Beijing 100083, China; 3. Beijing Key Laboratory for Energy Saving and Emission Reduction of Metallurgical Industry, University of Science and Technology Beijing, Beijing 100083, China

Received:2012-07-26 Revised:2012-11-27 Online:2013-12-20 Published:2014-01-21

摘要/Abstract

摘要：

基于辐射传输理论建立了考虑微藻细胞和微气泡光学特性的开放式光生物反应器一维稳态光传递数学模型, 采用Mie散射理论计算藻细胞和微气泡的光吸收系数、散射系数和相函数, 数学模型的求解采用离散坐标法。计算结果表明: 当忽略微气泡和藻细胞的光散射时, 模型可转化为Lambert-Beer定律; 考虑微气泡光散射时, 当藻细胞浓度较低时微气泡的光散射对光衰减有抑制效果; 藻细胞浓度较大时, 微气泡的光散射对抑制光衰减影响不大。

关键词: 光生物反应器, 光传输, Mie理论, 数学模型

Abstract:

A steady-state, one-dimensional, radiation transport equation (RTE) was used to simulate light transfer in an open photobioreactor, which contains microalgae and carbon dioxide bubbles suspended in water, based on the radiate transport theory. The absorption, scattering, extinction coefficients and scattering phase function of microalgae and bubbles in the RTE was derived from the Mie theory. The RTE was solved by the discrete ordinate method. It was found that the RTE can be converted to the Lambert-Beer’s Law without considering the scattering of bubbles and light scattering of microalgae. The simulation showed the light scattering of bubbles could reduce the light attenuation under low microalgae concentration, and that at high concentration the effect of light scattering of bubble for light attenuation could be ignored.

Key words: photobioreactor, light transfer, Mie theory, mathematical model

中图分类号:

P733.35

陈智杰, 姜泽毅, 张欣欣. 开放式光生物反应器内光传输数学模型研究[J]. 热带海洋学报, 2013, 32(6): 36-41.

CHEN Zhi-jie, JIANG Ze-yi, ZHANG Xin-xin. Mathematical model of light transfer for open photobioreactor[J]. Journal of Tropical Oceanography, 2013, 32(6): 36-41.

参考文献

李元广, 谭天伟, 黄英明. 微藻生物柴油产业技术中的若干科学问题及其分析[J]．中国基础科学, 2009, 11(5): 64-70．
ACIEN FERNANDEZ F G, CAMACHO F G, SANCHEZ PEREZ J A, et al. A model for light distribution and average solar irradiance inside outdoor tubular photobioreactors for the microalgal mss culture[J]. Biotechnol Bioeng, 1997, 55(5): 701-714．
程丽华, 张林, 陈欢林, 等. 微藻固定CO₂研究进展[J]. 生物工程学报, 2005, 21(2): 177-181．
HSIEH C H, WU W T. A novel photobioreactor with transparent rectangular chambers for cultivation of microalgae[J]. Biochem Eng J, 2009, 46(3): 300-305.
SUH I S, LEE S B. A light distribution model for an internally radiating photobioreactor[J]. Biotechnol Bioeng, 2003, 82(2): 180-189．
康瑞娟, 周文齐, 蔡昭铃, 等. 聚球藻7002在光生物反应器中的光自养培养[J]. 生物工程学报, 2000, 16(5): 618-622.
孙颖颖, 王怀忠, 阎斌伦. 海洋微藻培养中的光衰减研究[J]. 淮海工学院学报, 2008, 17(2): 62-65.
温少红. 螺旋藻培养液光衰减规律的研究[J]. 海洋通报, 2001, 20(4): 92-96．
INCROPERA F P, THOMAS J F. A model for solar radiation conversion to algae in a shallow pond[J]. Sol Energy, 1978, 20(2): 157-165.
PRIVOZNIK K G, DANIEL K J, INCROPERRA F P. Absorption, extinction and phase function measurement for algal suspensions of Chlorella pyrenoidosa[J]. J Quant Spectrosc RA, 1978, 20(4): 345-352.
CORNET J F, DUSSAP C G, GROS J B. Conversion of radiant light energy in photobioreactors[J]. AICHE J, 1994, 40(6): 1055-1066.
CORNET J F, DUSSAP C G, CLUZEL P, et al. A structured model for simulation of cultures of the cyanobacterium spirulina platensis in photobioreactors: Ⅱ. identification of kinetic paraeters under light and mineral limitations[J]. Biotechnol Bioeng, 1992, 40(7): 826-834.
CORNET J F, DUSSAP C G, DUBERTRET G. A structured model for simulation of cultures of the cyanobacterium spirulina platensis in photobioreactors: Ⅰ. coupling between light transfer and growth kinetics[J]. Biotechnol Bioeng, 1992, 40(7): 817-825.
BOHREN C F, HUFFMAN D R. Absorption and scattering of light by small particles[M]. New York: Wiley, 2008: 83-127.
李建立, 袁景和, 霍丙忠, 等. 聚茶乙烯微球的Mie散射特性分析[J]. 物理测试, 2009, 27(3): 29-36.
张伟, 路远, 杜石明, 等. 球形粒子Mie散射特性分析[J]. 光学技术, 2010, 36(6): 936-939.
BRICAUD A, MOREL A. Light attenuation and scattering by phytoplanktonic cells a theoretical modeling[J]. Appl Opt, 1986, 25(4): 571-580.
周雯, 曹文熙, 李彩. 浮游植物的吸收和散射特性理论模型[J]. 光学技术, 2007, 33(2): 177-180.
任智斌, 卢振武, 朱海东, 等. 微球体光散射的研究[J]. 红外与激光工程, 2004, 33(4): 401-404.
赵卫疆, 苏丽萍, 任德明, 等. 吸收性海水中气泡光散射特性的理论研究[J]. 强激光与粒子束, 2007, 19(12): 1979-1982．
闫海, 周洁, 何宏胜, 等. 小球藻的筛选和异养培养[J]. 北京科技大学学报, 2005, 27(4): 408-412.
吴磊, 杨鸿儒, 李旭东. 大气泡散射几何模型与德拜模型的比较[J]. 应用光学, 2006, 27(11): 97-101.
刘林华, 谈和平. 梯度折射率介质内热辐射传递的数值模拟[M]. 北京: 科学出版社, 2006: 1-5.
BERBEROGLU H, YIN J, PILON L. Light transfer in bubble sparged photobioreactors for H₂ production and CO₂ mitigation[J]. Int J Hydrogen Energy, 2007, 32(3): 2273-2285.
CHARNEY E, BRACKETT F S. The spectral dependence of scattering from a spherical algal and its implication for the state of ogranization of the light-accepting pigments[J]. Arch Biochem Biophys, 1961, 92: 1-12.
BRICAUD A, BEDHOMME A L, MOREL A. Optical properties of diverse phytoplanktonic species: Experimental results and theoretical interpretation[J]. J Plankton Res, 1988, 10: 851-873.
PILON L, BERBEROGLU H, KANDILIAN R. Radiation transfer in photobiological carbon dioxide fixation and fuel production by microalgae[J]. J Quant Spectrosc RA, 2011, 112: 2639-2660.
张志伟, 尹天峰, 温廷敦, 等. 溶液浓度与其折射率关系的理论和实验研究[J]. 中北大学学报: 自然科学版, 2009, 30(3): 281-285.
张建生, 孙传东, 卢笛. 水中气泡的特性研究[J]. 西安工业学院学报, 2000, 20(1): 1-8.
孙鸿宾, 殷晓静, 杨晶. 辐射换热[M]. 北京: 冶金工业出版社, 1996: 206-221.
ABRAMOWITZ M, STEGUN I A. Handbook of mathematical function with formulas, graphs and mathematical tables[M]. Washington DC: Dover Publication, 1964: 887.

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开放式光生物反应器内光传输数学模型研究

Mathematical model of light transfer for open photobioreactor

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