本文对含有Botryococcus BrauniiUTEX572的微生物碳捕获电池阴极室内的光合有效辐射（Photosynthetically active radiation，PAR）分布建立数学模型。采用离散坐标法（Discrete Ordinate Method，DOM）求解一维稳态辐射传递方程（Radiative transfer equation，RTE），使用SMARTS（the Simple Model for Atmospheric Transmission of Sunshine）模式对边界条件进行计算。在所建模型基础上，对400-800nm波长范围的阴极室内PAR分布情况进行计算，并结合Botry-ococcus Braunii UTEX 572的生长动力学对CO2的局部吸收速率进行研究。同时对不同散射处理方法，气泡含量以及藻类浓度对CO2捕获速率的影响进行对比，为改善光在微生物碳捕获燃料电池阴极室的分布和阴极室优化设计提供依据。
A mathematical model is presented to simulate the photosynthetically active radia- tion(PAR) and CO2 capture rate in the cathode of the microbial carbon capture cells(MCCs) based on the principle of microbial fuel cell. The green algae Botryococcus Braunii UTEX 572 is employed for illustration purpose. The steady-state one-dimensional radiation transfer equation is solved by the Discrete Ordinate Method(DOM) and the quadrature with 24 directions per hemisphere is conducted in the spectral range from 400 to 800 nm. The boundary conditions are given by the Simple Model for Atmospheric Transmission of Sunshine (SMARTS) . Moreover, the growth kinetics of algae is used to predict the CO2 reduction rate in the MCCs. The numerical results can be used for scaling and as well as optimizing the CO2 capturing processes in the cathode of MCCs.
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