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热带海洋学报 >

2013 , Vol. 32 >Issue 6: 36 - 41

DOI: https://doi.org/10.11978/j.issn.1009-5470.2013.06.006

海洋物理学

开放式光生物反应器内光传输数学模型研究

  • 陈智杰 ,
  • 姜泽毅 ,
  • 张欣欣
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  • 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
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

收稿日期: 2012-07-26

  修回日期: 2012-11-27

  网络出版日期: 2014-01-21

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)

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Mathematical model of light transfer for open photobioreactor

  • CHEN Zhi-jie ,
  • JIANG Ze-yi ,
  • ZHANG Xin-xin
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  • 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 date: 2012-07-26

  Revised date: 2012-11-27

  Online published: 2014-01-21

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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

本文引用格式

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 . DOI: 10.11978/j.issn.1009-5470.2013.06.006

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

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