Mathematical modeling and simulation of oxygen mass transfer in rotating biological contactor (RBC) for bacterial cellulose production

Abstract

The Rotary Biological Contact (RBC) reactor has a unique aeration system that provides a moving bed for easy and efficient oxygen transfer within the system to overcome the limitations of stationary culture in bacterial cellulose (BC) production. In most cases, oxygen mass transfer is the limiting factor of an aerobic process, hence the changes in the oxygen mass transfer coefficient within the system have been given special attention. In this study, the RBC bioreactor producing BC was modeled based on one-dimensional oxygen mass transfer in the direction perpendicular to the surface of the discs. The Monod kinetic model has been used to express cell growth. Simulation of the mathematical model was done based on the numerical solution with finite difference method in MATLAB software. Sensitivity analysis was performed to investigate the effect of changing different system parameters in RBC modeling. The simulation results showed that with the increase in angular velocity, the oxygen transfer coefficient and subsequently the mass transfer rate increase. Also, at a certain angular velocity, the oxygen mass transfer coefficient increases with the increase of immersion depth. The best disk rotation speed considering other parameters as well as the laboratory results was 13 rpm with a 45% indentation percentage and the optimal distance between the disks was 1.5 cm.