Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
CHEMICALLY REACTING PROBLEMS BY MICHAELIS-MENTEN KINETICS TYPE WITH INTEGRAL TRANSFORMS TREATMENT
Submission Author:
Isabela Florindo Pinheiro , RJ
Co-Authors:
Isabela Florindo Pinheiro, Helena Serrano, Leandro Alcoforado Sphaier, Fernando Peixoto
Presenter: Isabela Florindo Pinheiro
doi://10.26678/ABCM.ENCIT2018.CIT18-0073
Abstract
A chemically reacting problem by Michaelis-Menten form with heat and mass diffusion is investigated by means of the Generalized Integral Transform Technique (GITT). The reacting system is characterized by two one-dimensional transient Partial Differential Equations (PDEs), where the solutions are given by the temperature and the considered species (substrate) distributions. The novelty behind this paper is the treatment of the Michaelis-Menten kinetics term, whose traditional form is a major obstacle for GITT approach. In order to overcome this obstacle, the term is resolved by a Taylor Series Approximation and the integral transforms approach is developed over this approximated formulation. For the temperature, a third-kind (Robin) boundary condition is selected and different Bi-values are chosen to determine the temperature and substrate concentration distributions. Parametric results with spatial variation are demonstrated for the dependent variables together with an averaged temperature and substrate concentration evaluation within the considering range of dimensionless parameters commonly found in alcoholic fermentation.
Keywords
Michaelis-Menten kinetics, GITT, alcoholic fermentation, chemically reacting systems, Heat and Mass Diffusion
