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Mathematical Problems in Engineering
Volume 2014, Article ID 349816, 8 pages
Research Article

Modeling of Dielectric Heating within Lyophilization Process

Department of Electrical Power Engineering, Faculty of Electrical Engineering, Czech Technical University, Technická 2, 166 27 Prague, Czech Republic

Received 10 November 2013; Revised 17 February 2014; Accepted 18 February 2014; Published 2 April 2014

Academic Editor: Ivo Doležel

Copyright © 2014 Jan Kyncl et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A process of lyophilization of paper books is modeled. The process of drying is controlled by a dielectric heating system. From the physical viewpoint, the task represents a 2D coupled problem described by two partial differential equations for the electric and temperature fields. The material parameters are supposed to be temperature-dependent functions. The continuous mathematical model is solved numerically. The methodology is illustrated with some examples whose results are discussed.