为研究肿瘤磁流体热疗过程中温度梯度与浓度梯度间的耦合效应对磁微粒的弥散及肿瘤内传热的影响,本文根据非平衡热力学唯象定律建立了包含浓度场及温度场的耦合传热传质模型,以常数形式的热扩散系数表征温度梯度对传质过程的影响程度。通过有限元法求解,得到考虑双场耦合作用时肿瘤内的浓度分布和温度分布。模拟结果表明,与不考虑耦合效应的情况相比,耦合作用可以使磁微粒分布及温度分布更均匀,热扩散系数的大小对温度场随时间的变化趋势具有重要影响。
In order to investigate the influence of coupling effect between the temperature gradient and concentration gradient on the diffusion process of magnetic nanoparticles and heat transfer process in tumor,a coupling mathematical model for heat and mass transfer was established based on phenomenological laws in non-equilibrium thermodynamics.The thermal diffusion coefficient （TDC） was taken into consideration as a constant.It reflects the effects of temperature difference on mass transfer process during magnetic fluid hyperthermia.The concentration and temperature distributions were calculated using finite element method.The simulation results show that the coupling effect can increase the uniformity of both concentration field and temperature field,and the magnitude of TDC plays an important role in the 3D temperature variations.
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