Ecole Nationale Supérieure de Chimie de Rennnes (ENSCR), Chimie et Ingénierie des Procédés, Avenue du Général Leclerc, CS 50837-35708 Rennes Cedex 7, France.
Water Sci Technol. 2010;62(4):906-14. doi: 10.2166/wst.2010.343.
A mathematical model was developed to assess limiting step of mass transfer in the n-hexadecane (HXD) biodegradation by a microbial consortium. A double Monod kinetic (oxygen and HXD) for biomass production was successfully used to describe the experimental data. Good fitting (r²=0.92) between the model solution and experimental data was obtained. The overall mass transfer coefficients for HXD, k(L)a(HXD), and oxygen, k(L)a(O₂), were experimentally determined and biosurfactant production was indirectly determined through surface tension measurements in the aqueous phase. It was observed that a surface tension reduction from 65 (0 h of culture) to 47 mN m⁻¹ (240 h of culture) was related to a decrease of 52% in the HXD droplet diameter and to an increase of 63% in k(L)a(HXD), respect the initial values. Conversely, k(L)a(O₂) was repressed up to 37% compared to the initial value. The maximum rate analysis based on the mathematical model showed that HXD transfer was up to 5-fold lower than its consumption. On the contrary, oxygen transfer was always higher than its consumption. Thus, the limiting step under the working conditions was the HXD transfer to the aqueous phase. However, slight reductions in k(L)a(O₂) could result in oxygen transfer limitations during the last 60 h of the cultures.
建立了一个数学模型来评估微生物共混物降解正十六烷(HXD)过程中的传质限制步骤。成功地使用双 Monod 动力学(氧和 HXD)来描述生物量的生产实验数据。模型解与实验数据之间获得了良好的拟合(r²=0.92)。通过在水相中测量表面张力,实验确定了 HXD 的总传质系数 k(L)a(HXD)和氧的总传质系数 k(L)a(O₂),并间接确定了生物表面活性剂的产生。观察到表面张力从 65(培养 0 小时)降低到 47 mN m⁻¹(培养 240 小时)与 HXD 液滴直径降低 52%和 k(L)a(HXD)增加 63%有关,与初始值相比。相反,与初始值相比,k(L)a(O₂)被抑制了 37%。基于数学模型的最大速率分析表明,HXD 的传递速度比其消耗速度低 5 倍。相反,氧气的传递速度总是高于其消耗速度。因此,在工作条件下,限制步骤是 HXD 向水相的传递。然而,在培养的最后 60 小时内,k(L)a(O₂)的轻微降低可能导致氧气传递受限。