Department of Chemical Engineering, Faculty of Engineering Technology, Al-Balqa Applied University, P.O. Box 15008, Marka, 11134, Amman, Jordan.
Bioprocess Biosyst Eng. 2012 Aug;35(6):875-84. doi: 10.1007/s00449-011-0672-2. Epub 2011 Dec 30.
The current study investigated numerically the two-dimensional (2D) incompressible flow and mass transfer in a lid-driven cavity of annular geometry accompanied by enzymatic surface-reactions. The lid-driven bioreactor had a square cross-section of (H × H) and a radius of curvature of r (c). This flow configuration gives the opportunity to evaluate effects of curvature as well as operational parameters on the bioreactor performance. For forced-convection, conservation equations were solved numerically, using fourth-order finite volume schemes, to identify the 2D flow structure and concentration distribution of substrate within the bioreactor. For pure diffusion, analytical solution was obtained. Substrate transfer rates were presented in terms of Sherwood number. While, effectiveness factor was computed to evaluate the force-convection contribution over pure molecular diffusion. Mass-transfer against surface-reaction resistance was estimated via Damkohler number. Results indicate the positive role of increasing Peclet number, Reynolds number, and radius of curvature in enhancing the substrate transport process.
本研究通过数值方法研究了伴随酶表面反应的环形几何形状的有盖驱动腔中的二维（2D）不可压缩流动和传质。有盖驱动式生物反应器的横截面为（H×H），曲率半径为 r（c）。这种流动配置提供了评估曲率以及操作参数对生物反应器性能的影响的机会。对于强制对流，使用四阶有限体积方案数值求解守恒方程，以确定生物反应器内的二维流动结构和底物浓度分布。对于纯扩散，获得了解析解。以舍伍德数表示底物传递速率。同时，计算了效能因子以评估强制对流对纯分子扩散的贡献。通过达姆科勒数估算质量传递与表面反应阻力的比值。结果表明，增加佩克莱特数、雷诺数和曲率半径对增强底物传输过程有积极作用。
