Dynamic simulation of bioreactor systems using orthogonal collocation on finite elements

Hydrodynamic Mathematical Modelling of Aerobic Plug Flow and Nonideal Flow Reactors: A Critical and Historical Review

“…Following this work others authors including Braha and Hafner (1985) and Muslu (2000aMuslu ( , 2000b modelled the plug flow reactor as a multiple tanks in series configuration. Turian et al (1975), Lee et al (1999aLee et al ( , 1999b, and Wells (2000a, 2000b) incorporated a more comprehensive chain of biological reactions into the dispersion flow reactor model in unsteady state conditions. Olivet et al (2005) proposed a TIS model to simulate the hydrodynamic behavior of a full-scale plant.…”

“…More complete models taking into account the dispersion related to the reactor configuration and aeration, are the models proposed by Khudenko and Shpirt (1986) and San (1992). But the most complete models are those proposed by Turian et al (1975), Lee et al (1999aLee et al ( , 1999b, Olivet et al (2005), Potier et al (2005), and Wells (2000a, 2000b) who considered biochemical reactions and dispersion flow. Finally, it is also useful to apply CFD models that are more complex than the previous models but describe the hydrodynamic phenomena more in detail, considering the local processes that take place in the reactor.…”

“…In fact, even in the case of five mixed zones of equal size that was found as the best fitting tank-in-series model, the predicted peak concentrations were lower by approximately 12-17% and delayed by approximately 30-60 min compared with the actual peaks. The dispersion model was solved in unsteady conditions with a computational algorithm proposed by Lee et al (1999aLee et al ( , 1999b. The results were compared with results obtained by the proposed model-collocation with a tank-in-series model using experimental data (Lee et al, 1999b).…”

“…The dispersion model was solved in unsteady conditions with a computational algorithm proposed by Lee et al (1999aLee et al ( , 1999b. The results were compared with results obtained by the proposed model-collocation with a tank-in-series model using experimental data (Lee et al, 1999b). The authors applied the model to pilot-scale activated sludge process data presented in a previous study (Nogita et al, 1983), and showed that with simulated dynamics of the reactant at the outlet of the pilot plant, the proposed algorithm provides a superior prediction than the TIS model.…”

Internal Dynamics Stability of a Heat Conduction System Reduced via Orthogonal Collocation

“…But, in thermal processes, it is clear that such a behaviour does not represent the physical phenomena. In [12], the authors have combined Orthogonal Collocation and Finite Elements approaches, leading to a large reduction of these oscillations.…”