Eventos Anais de eventos
CONEM 2022
XI Congresso Nacional de Engenharia Mecânica - CONEM 2022
Dynamical Analysis of a Ferrofluid in Magnetic Hyperthermia
Submission Author:
Filipe Eduard Leite Ossege , DF
Co-Authors:
Filipe Eduard Leite Ossege, Aline Souza de Paula, Rafael Gontijo
Presenter: Filipe Eduard Leite Ossege
doi://10.26678/ABCM.CONEM2022.CON22-0469
Abstract
Magnetic hyperthermia is a cancer treatment which aims the growth of the tumor's temperature, by means of applying magnetic particles in an organic unhealthy tissue under magnetic field. With the development of nanotechnology, this medical procedure became feasible and more investigated among scientists. However, the nonlinear dynamics of the magnetic fluid responsible for the hyperthermia have not yet been considered by the literature. Hence, the main contribution of this work is the analysis of the problem in a dynamical point of view. In this way, the main objective of this work is the characterization of the dynamical behavior of magnetic particles, that consists of the ferrofluid used in magnetic hyperthermia. To do so, a numerical methodology is considered, where magnetic particles immersed in a liquid carrier are simulated using the govern equations obtained from the Newton's second law. Then, time series of the system's average magnetization are calculated for an alternating external magnetic field. Since the system is random, due to the probabilistic nature of Brownian motion, 50 simulations are performed and a mean value of all samples are obtained. With this, a parametric analysis is carried out, in order to identify the parameters that most affect the dynamical behavior of the system. In this manner, the effect of the hysteresis curve, the phase space and the Poincaré map are analyzed in every case, with the average magnetization being the state variable. After this, in the perpendicular direction of the external magnetic field, a Couette alternating flow is applied and the dynamical analysis is carried out. So, a comparison between the system with Coeutte flow and the one without this shear mechanism is performed. Therefore, the main target of this work is to find the best conditions for the magnetic hyperthermia, by means of analyzing the system's internal energy production. Thus, simulation results show that a higher frequency of the oscillating magnetic field is desirable and that shear flow is not recommended for the cancer treatment.
Keywords
magnetic hyperthermia, magnetic heating, ferrofluid, magnetic fluid, nonlinear dynamics
