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基于分形蒙特卡罗方法的人体皮肤有效热导率计算

Calculation of Effective Thermal Conductivity for Human Skin Using the Fractal Monte Carlo Method.

作者信息

Rojas-Altamirano Guillermo, Vargas René O, Escandón Juan P, Mil-Martínez Rubén, Rojas-Montero Alan

机构信息

Departamento de Termofluidos, Instituto Politécnico Nacional, SEPI-ESIME Azcapotzalco, Av. de las Granjas No. 682, Col. Santa Catarina, Alcaldía Azcapotzalco, Ciudad de México 02250, Mexico.

Escuela Militar de Ingenieros, Universidad del Ejército y Fuerza Aérea, Av. Industria Militar No. 261, Col. Lomas de San Isidro, Naucalpan de Juárez 53960, Mexico.

出版信息

Micromachines (Basel). 2022 Mar 10;13(3):424. doi: 10.3390/mi13030424.

DOI:10.3390/mi13030424
PMID:35334716
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8953946/
Abstract

In this work, an effective thermal conductivity (ETC) for living tissues, which directly affects the energy transport process, is determined. The fractal scaling and Monte Carlo methods are used to describe the tissue as a porous medium, and blood is considered a Newtonian and non-Newtonian fluid for comparative and analytical purposes. The effect of the principal variables-such as fractal dimensions DT and Df, porosity, and the power-law index, -on the temperature profiles as a function of time and tissue depth, for one- and three-layer tissues, besides temperature distribution, are presented. ETC was improved by considering high tissue porosity, low tortuosity, and shear-thinning fluids. In three-layer tissues with different porosities, perfusion with a non-Newtonian fluid contributes to the understanding of the heat transfer process in some parts of the human body.

摘要

在这项工作中，确定了一种直接影响能量传输过程的生物组织有效热导率（ETC）。采用分形标度法和蒙特卡罗方法将组织描述为多孔介质，并将血液视为牛顿流体和非牛顿流体以进行比较和分析。除了温度分布外，还给出了主要变量（如分形维数DT和Df、孔隙率和幂律指数）对单层和三层组织的温度分布随时间和组织深度变化的影响。通过考虑高组织孔隙率、低曲折度和剪切变稀流体，有效热导率得到了改善。在具有不同孔隙率的三层组织中，用非牛顿流体灌注有助于理解人体某些部位的传热过程。

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