Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
Modeling and Mathematical Analysis of Mass Transfer in Porous Media in Lautering Processes
Submission Author:
Daniel Chalhub , RJ
Co-Authors:
Victor Hugo Alves Fernandes, Daniel Chalhub
Presenter: Daniel Chalhub
doi://10.26678/ABCM.ENCIT2018.CIT18-0450
Abstract
Lautering is a crucial filtration step in brewing, since it is directly related to the product quality and production efficiency. Hence, this paper proposes the development of a simplified model which describes the mass transfer analysis for different operation conditions. Under this scenario, the problem was described using the linear transient one-dimensional advection-diffusion equation with both Neumann and Dirichlet boundary conditions and a well-defined initial condition. To approximate the mathematical formulation from the physical model, the linear Freundlich isotherm was applied to represent the additional sugar extraction from the barley malts, also defined as retardation function. The governing equation was numerically solved using a traditional discretization-based procedure with central and upwind-differencing schemes for the advection term. The method of lines (MOL) was applied through computational implementations which aimed at developing a code under a Finite-Differences framework capable of performing different numerical simulations. The code was validated with the literature showing a good agreement. A mesh convergence analysis was performed and the results were computed using a non-uniform mesh, which showed a good performance to represent lautering processes for low Péclet numbers. Numerical simulations were calculated for different retardations and Péclet numbers in order to demonstrate the influence of these variables in process. The outcome shows that the technique introduced in this work is easy to apply and has a great performance for the proposed model.
Keywords
Lautering, advection-diffusion problems, Porous media, Finite Difference Method
