恒定热流辐照生物组织传热的合理非傅里叶边界条件的确定  

Determination of Rational Non-Fourier Boundary Condition on Thermal Behavior of Biological Tissues Irradiated by Constant Heat Flux

作　　者：许光映 王晋宝 薛大文 Xu Guangying;Wang Jinbao;Xue Dawen(School of Na val Arch itecture and Marine Affair,Zhejiang Ocean University,Zhoushan 316022,Zhejiang,China)

机构地区：[1]浙江海洋大学船舶与海运学院,浙江舟山316002

出　　处：《中国激光》2022年第15期176-186,共11页Chinese Journal of Lasers

基　　金：浙江省自然科学基金(Q18E09007);舟山市科技基金(2017C41002,2016C41009)。

摘　　要：在对活体生物组织有强吸收的激光辐射热疗领域,理论研究对理解治疗过程具有不可替代的作用。由于激光源的激发时间相对于组织平衡时间非常短,因此非傅里叶模型在理论研究中越来越重要。目前,恒定热流被认为是一个独立于时间的物理量,根据该物理量得到的结论与现有文献中的实验结果不一致。本文基于恒定热流随时间的变化,建立了修正的非傅里叶边界条件,并应用积分变换方法获得解析解。与文献中已有的结果相比,当前修正模型得到的温升和温度分布曲线与文献中的实验结果一致。本文认为基于时间无关的非傅里叶边界条件是不符合热平衡的。进一步,在修正的非傅里叶边界条件下,本文讨论了单相滞后模型(SPLM)和两相滞后模型(DPLM)的不同传热机理及其与现有描述的不同。Objective The success of laser hyperthermia techniques depends on precise prediction and control of temperature in the tissue.The study of time-domain analytical solutions can not only verify the results of the numerical models but also contribute to the implementation of technical solutions with few technical errors.Because the excitation time of a laser source is very short compared to tissue equilibrium time,non-Fourier models have become important in theoretical research.Currently,constant heat flux is regarded as a time-dependent physical quantity,which is inconsistent with experiment results in the literatures.In this study,based on modified constant heat flux,a corrected non-Fourier boundary condition is established,and the analytical solution is obtained by integration transformation.The temperature rise and distribution curves obtained using a modified model are consistent with the experimental results in the literatures.In addition,the time-independent non-Fourier boundary condition is inconsistent with the thermal equilibrium.Furthermore,the different heat transfer mechanisms of the single-phase lag model(SPLM)and double-phase lag model(DPLM)under modified non-Fourier boundary conditions are analyzed,and their differences from those of existing models are discussed.The result shows that the time factor should be considered in constant-heat-flux models of biological tissues,otherwise the predicted results will be inconsistent with the experiment results.Methods Based on the delayed non-Fourier law,which includes non-Fourier single-and two-phase lag equations,non-F ourier heat conduction equations of biological tissue in one-dimensional space were established,including an SPLM,a DPLM,and the classical Peens biological model(PBM).Considering the strong scattering biological surface,the time dependent non-Fourier boundary condition of constant-heat-flux irradiation was established,and the theoretical solution was obtained via integration transformation under a quasi-static initial condition.Also,a theoreti

关 键 词：医用光学 生物传热 激光热疗 非傅里叶边界条件 热波 

分 类 号：TK124[动力工程及工程热物理—工程热物理]