为了有效地探测人体内部异常热源信息,基于傅里叶定律和能量守恒定律建立了含球状热源的传热微分方程,通过表面等温线分布求解微分方程,得到表面温度分布与内部异常热源的深度、大小和温度之间的关系,从而建立体表面温度分布与体内球状异常热源之间的球状热源传热模型;采用有限元分析软件COMSOL对该模型进行模拟仿真和数值分析,同时利用红外热像仪采集实体模型的表面温度分布,逆向求解内热源信息。将仿真分析和实际数值分析得到的内部异常热源信息与实际对比,两者所得的结果与实际达到毫米级误差。
In order to effectively detect the information of the abnormal heat inside the body, based on Fourier's law and the law of conservation of energy, a heat transfer differential equation with a spherical heat was established. Then the differential equation through the surface isotherm distribution was solved to obtain the relationship between the surface temperature distribution and the depth, size and temperature of the inner abnormal heat. Thus the spherical abnormal heat transfer model including the body surface temperature distribution and globular heat was established. Afterward the finite element analysis software COMSOL was used to simulate the model with numerical analysis. At the same time, the infrared thermal imager was used to collect the temperature distribution of the solid model surface, and then the internal heat source information was obtained by solving the differential equation. In the end, comparing the actual inner abnormal heat information with the information from the analysis of simulation and actual analysis, both the results and the actual error are in millimeters.