Approximation error model (AEM) approach with hybrid methods in the forward-inverse analysis of the transesterification reaction in 3D-microreactors

This work advances the approximation error model approach for inverse analysis of biodiesel synthesis using soybean oil and methanol in 3D-microreactors. Two hybrid numerical-analytical approaches reduced computational cost are considered to offer an approximate forward problem solution a three-dimensional nonlinear coupled diffusive-convective-reactive model. First, Generalized Integral Transform Technique (GITT) is applied non-converged solutions 3D model, by adopting low truncation orders eigenfunction expansions. Second, Coupled Equations Approach (CIEA) provides mathematical average concentrations, which leads inherently solutions. The AEM through Bayesian framework illustrated simultaneous estimation kinetic diffusion coefficients transesterification reaction. For this purpose, fully converged GITT results with higher partial differential employed as reference define approximations errors. highlight that either via or obtained CIEA, when taking into account error, robust cost-effective alternatives convection–diffusion-reaction problems.