Preparation of particle oxide for biomedical applications employing a safe thermo-chemical technique: An analytical study

Abstract

Due to the potential use of particle oxides in biomedical industry and tissue engineering, particularly for cancer diagnosis and therapy, promising preparation ways of the oxides are crucial. In this paper, an analytical approach is proposed to model the production of a particle oxide for biomedical applications using a thermochemical technique. For this purpose, a multi-zone structure including preheat, reaction, melting, vaporization and oxidizer zones is developed for the system. To detect the behavior of the flame, an asymptotic method is used. Accordingly, melting and vaporization processes are modelled by different Heaviside functions. Mass and energy conservation equations are presented for determining the amount of particle oxide and temperature distribution. To preserve the continuity and trace the positions of flame, melting and vaporization fronts, jump conditions are determined at the inner interfaces. Finally, variations of temperature and mass fraction of the particles and particle oxide with position and Lewis number are obtained. Based on the results, maximum non-dimensional temperature of the system corresponding to the vaporization front is found to be 0.56. Non-dimensional positions of flame front (at which particle oxide is produced), melting front and vaporization front are found to be -1.8, -1.78 and -1, respectively.