Mathematical model to estimate volumetric oxygen transfer coefficient in bioreactors using conformable calculus

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