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首页> 外文期刊>International Journal of Heat and Mass Transfer >Thermal analysis of laser-irradiated tissue phantoms using dual phase lag model coupled with transient radiative transfer equation
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Thermal analysis of laser-irradiated tissue phantoms using dual phase lag model coupled with transient radiative transfer equation

机译：双相滞后模型与瞬态辐射传递方程耦合的激光辐照人体模型的热分析

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摘要

The present work is concerned with the development and application of dual phase lag (DPL) based heat conduction model for investigating the thermal response of laser-irradiated biological tissue phantoms. The developed heat transfer model has been coupled with the transient form of radiative transfer equation (RTE) that describes the phenomena of light propagation inside the tissue phantom. The RTE has been solved using the discrete ordinate method (DOM) to determine the 2-D distribution of light intensity within the tissue phantom, while finite volume method (FVM) based discretization scheme has been employed for solving the heat transfer model. The developed numerical model has first been verified against the results available in the literature. The results obtained in the form of temperature distribution through DPL model have been compared with conventional Fourier heat conduction model as well as with hyperbolic model. The effects of two phase lags terms in the form of relaxation times i.e. τ_r and τ_q associated with DPL model on the resultant thermal profiles have been investigated. Thereafter, the temperature distribution inside the biological tissue phantom embedded with optical inhomogeneities of varying contrast levels have been determined using the DPL-based model. Here the optical inhomogeneities represent the malignant (absorbing inhomogeneity) and benign (scattering inhomogeneity) cells present in an otherwise homogeneous medium. Results of the study reveal that the hyperbolic heat conduction model consistently predicts high temperature values and also the associated thermal profiles exhibit the largest amplitude of oscillations throughout the body of the tissue phantom. The DPL-based model results into relatively lesser oscillations due to the coupled effects of τ_T and τ_q. The conventional Fourier model, on the other hand, results into the lowest temperature values without any oscillations in the temperature profiles. The effect of the presence of varying nature of optical inhomogeneities is also brought out quite clearly using the developed DPL-based heat conduction model.
机译：目前的工作涉及基于双相滞后（DPL）的导热模型的开发和应用，该模型用于研究激光辐照的生物组织体模的热响应。已开发的热传递模型已经与辐射传递方程（RTE）的瞬态形式相结合，该方程描述了光在组织体模内部传播的现象。已经使用离散纵坐标方法（DOM）解决了RTE，以确定组织体模内光强度的二维分布，而基于有限体积方法（FVM）的离散化方案已用于求解传热模型。首先对照文献中提供的结果验证了开发的数值模型。通过DPL模型以温度分布形式获得的结果已与传统的Fourier导热模型以及双曲线模型进行了比较。研究了弛豫时间形式的两个相位滞后项，即与DPL模型相关的τ_r和τ_q对所得热分布的影响。此后，已使用基于DPL的模型确定了嵌入了变​​化对比度水平的光学不均匀性的生物组织体模内部的温度分布。在这里，光学不均匀性代表存在于其他均质介质中的恶性（吸收性不均匀性）细胞和良性（散射性不均匀性）细胞。研究结果表明，双曲线导热模型始终预测高温值，并且相关的热分布图还显示出整个组织体模体内振荡的最大幅度。由于τ_T和τ_q的耦合效应，基于DPL的模型导致相对较小的振荡。另一方面，传统的傅立叶模型导致最低的温度值，而温度曲线没有任何波动。使用已开发的基于DPL的热传导模型，还可以很清楚地看出存在光学不均匀性变化性质的影响。

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