Kandjov I M
Medical Climatology Department, National Center of Physical Therapy and Rehabilitation, Sofia, Bulgaria.
Int J Biometeorol. 1999 Jul;43(1):38-44. doi: 10.1007/s004840050114.
The rates of convection and evaporation at the interface between the human body and the surrounding air are expressed by the parameters convective heat transfer coefficient hc, in W m-2 degrees C-1 and evaporative heat transfer coefficient h(e), W m-2 hPa-1. These parameters are determined by heat transfer equations, which also depend on the velocity of the airstream around the body, that is still air (free convection) and moving air (forced convection). The altitude dependence of the parameters is represented as an exponential function of the atmospheric pressure p: hc approximately pn and h(e) approximately p1-n, where n is the exponent in the heat transfer equation. The numerical values of n are related to airspeed: n = 0.5 for free convection, n = 0.618 when airspeed is below 2.0 ms-1 and n = 0.805 when airspeed is above 2.0 ms-1. This study considers the coefficients hc and h(e) with respect to the similarity of the two processes, convection and evaporation. A framework to explain the basis of established relationships is proposed. It is shown that the thickness of the boundary layer over the body surface increases with altitude. As a medium of the transfer processes, the boundary layer is assumed to be a layer of still air with fixed insulation which causes a reduction in the intensity of heat and mass flux propagating from the human body surface to its surroundings. The degree of reduction is more significant at a higher altitude because of the greater thickness of the boundary layer there. The rate of convective and evaporative heat losses from the human body surface at various altitudes in otherwise identical conditions depends on the following factors: (1) during convection--the thickness of the boundary layer, plus the decrease in air density, (2) during evaporation (mass transfer)--the thickness of the boundary layer, plus the increase with altitude in the diffusion coefficient of water vapour in the air. The warming rate of the air volume due to convection and evaporation is also considered. Expressions for the calculation of altitude dependences hc (p) and h(e) (p) are suggested.
人体与周围空气界面处的对流和蒸发速率由对流换热系数hc(单位:W m-2℃-1)和蒸发换热系数h(e)(单位:W m-2 hPa-1)表示。这些参数由传热方程确定,而传热方程也取决于人体周围气流的速度,即静止空气(自然对流)和流动空气(强制对流)。这些参数随海拔的变化表现为大气压力p的指数函数:hc约为pn,h(e)约为p1-n,其中n是传热方程中的指数。n的数值与风速有关:自然对流时n = 0.5,风速低于2.0 m s-1时n = 0.618,风速高于2.0 m s-1时n = 0.805。本研究考虑了hc和h(e)关于对流和蒸发这两个过程相似性的系数。提出了一个解释已建立关系基础的框架。结果表明,人体表面边界层的厚度随海拔升高而增加。作为传递过程的介质,边界层被假定为一层具有固定隔热性能的静止空气,这导致从人体表面向周围环境传播的热通量和质量通量强度降低。由于那里边界层厚度更大,在更高海拔处降低程度更显著。在其他条件相同的情况下,人体表面在不同海拔处的对流和蒸发热损失速率取决于以下因素:(1) 在对流过程中——边界层的厚度,加上空气密度的降低,(2) 在蒸发(传质)过程中——边界层的厚度,加上空气中水蒸气扩散系数随海拔的增加。还考虑了由于对流和蒸发导致的空气体积升温速率。给出了计算hc(p)和h(e)(p)随海拔变化的表达式。