Modelo matemático para estimar el coeficiente volumétrico de transferencia de oxígeno en biorreactores usando cálculo conformal

Abstract

This work proposes a novel mathematical model based on time conformable derivative convective mass transfer equation to calculate the volumetric oxygen transfer coefficient (kLa) in a bioreactor. To validate the novel model, a full mixed-level experimental design was proposed with two factors: agitation speed and dispersed phase. The model employs the conformable derivate order operator (α) and the electrode constant (kp), which changes with electrode use and the operating conditions of the bioreactor. The results show that when the viscosity increases and the agitation decreases, the value α increases, and vice versa. Therefore, α is a parameter that has a physical meaning in the process. The correlation coefficient of the proposed model with the experimental data (R2 > 0.985) is higher than the one obtained with conventional models. The Akaike information criterion determined that the proposed conformal model describes the experimental data by 59%, while the conventional models describe the experimental data by 25% and 15%. There are no reports of similar mathematical models that determine mass transfer coefficients in bioprocesses.