2014
EMSS 2014 Proceeding
On the approximate solution for a fully coupled parabolic-hyperbolic PDES system applied in thermomechanical behaviour of hydrogel matrix used in drug delivery
Authors: Nirina Santatriniaina, Benjamain Boutin, Eric Darrigrand, Fabrice Mahé, Nicolas Crouseilles, Dominique Pioletti, Lalaonirina Rakotomanana
Abstract
This work deals with numerical methods for a fully coupled system of parabolic-hyperbolic partial differential equations modeling the thermo-mechanics of the hydrogel matrix of drug delivery devices. The model of hydrogel matrix is governed by heat conduction equation, wave equation and a thermodynamically admissible constitutive law. These equations are coupled by source terms. Transient analysis is assumed for the present study. Original numerical approach based on finite element formulation is developed to solve the problem. The model is developed to predict the reversible- irreversible entropy and heat production in the material to control drug delivery devices by following the temperature change. Experimentally, various situations are assumed in order to observe variations of entropy and temperature by using micro-calorimetric test for many frequency rates. Some numerical results in correlation with experimental measurements are presented in this work.
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