磁纳米粒子为热源的非傅里叶热传输

Non-Fourier Heat Transfer with Heat Source of Magnetic Nanoparticles

近年来,磁感应热疗作为一种新兴的肿瘤治疗方法得到较多的关注。本文分析了以磁纳米粒子作为热源的傅里叶传热方程,在傅里叶热传导模型的基础上通过引入弛豫时间建立了单相方程的热传递模型,并利用分离变量法求得了该方程的解析解。分析了外部磁场性质和磁性纳米粒子特性对温度分布的影响。

In recent years, magnetic hyperthermia as a new tumor treatment method has been studied. In this paper, the Non-Fourier heat transfer equation with magnetic nanoparticles as the heat source is analyzed. The heat transfer model of single-phase-lag equation is established by introducing relaxation time based on the Fourier heat transfer model, and the analytical solution of the equation is obtained by using the method of separating variables. The effects of external magnetic field and properties of magnetic nanoparticles on temperature distribution are investigated.