TITLE:
Comparison between Lambert and Maxwell Approaches in the Modelling of Microwave Heating of Liquid Foods
AUTHORS:
Rino Apicella, Vittorio Romano
KEYWORDS:
Continuous Microwave Heating, Lambert’s Law, Maxwell Equations, Poynting Theorem, Non-Newtonian Fluids, FEM
JOURNAL NAME:
Engineering,
Vol.11 No.1,
January
9,
2019
ABSTRACT: Microwave heating of liquid foods in laminar flow through a circular tube has been modeled. In particular, skim milk as a Newtonian fluid and apple sauce and tomato sauce as non-Newtonian fluids have been considered. The temperature profiles have been obtained solving the motion and energy equations in transient regime and Maxwell’s equations in the frequency domain. Numerical resolution of Finite Element Method has been implemented in Comsol Multiphysics. The generation term due to the microwave heating has been evaluated according both to Lambert’s law and Poynting theorem. Finally, a comparison between the two methods has been made in order to check to what extent the results obtained with the simpler Lambert’s law approximation are comparable with those deriving from the exact solution of Maxwell equations. Dielectric properties are considered to be temperature dependent.