Pal D S, Pal S
Department of Mathematics and Statistics, Punjab Agricultural University, India.
J Math Biol. 1990;28(3):355-64. doi: 10.1007/BF00178783.
Exact mathematical solutions in terms of confluent hypergeometric and Airy's functions are obtained to study the steady state temperature distributions in human skin and subcutaneous tissues (SST). It is assumed that the skin is exposed to an air environment and heat transfer from the skin occurs by convection, radiation and evaporation. A mathematical model of the SST, accounting for heat conduction, perfusion of the capillary beds and metabolic heat productions of the dermis and subcutaneous tissues, has been solved to obtain interface temperatures for a wide range of environmental temperatures, rates of evaporation of sweat, wind speeds and relative humidities. The solutions provide inter-relationships between interface temperatures, thermal conductivities, metabolic heat production, blood perfusion, thicknesses of various layers of SST and ambient temperature.
通过合流超几何函数和艾里函数得到了精确的数学解，以研究人体皮肤和皮下组织（SST）中的稳态温度分布。假设皮肤暴露在空气环境中，皮肤的热传递通过对流、辐射和蒸发进行。求解了一个考虑热传导、毛细血管床灌注以及真皮和皮下组织代谢产热的SST数学模型，以获得在广泛的环境温度、出汗蒸发速率、风速和相对湿度范围内的界面温度。这些解给出了界面温度、热导率、代谢产热、血液灌注、SST各层厚度和环境温度之间的相互关系。
