从流体力学和热力学谈气压公式及其推导
On The Barometric Formulas And Their Derivation From Hydrodynamics and Thermodynamics
摘要：
我们推导出大气的近似压力分布、密度分布和温度分布，也称为气压公式。我们推导的变体超出了热力学讲座中常见的标准练习，在热力学讲座中，通常忽略了对基本物理假设的讨论。我们从纳维-斯托克斯方程出发，明确地指出我们的注意力在其他地方忽略的物理假设。我们表明，通常的假设可以放宽导致广义公式，即使在水平风的情况下。这一基础物理学与当前关于气候辩论的讨论有一定的相关性。
英文摘要：
We derive the approximate pressure profiles, density profiles, and temperature profiles of an atmosphere, also called barometric formulas. Our variant of a derivation goes beyond the common standard exercise of a thermodynamics lecture, where commonly the discussion of the underlying physical assumptions is missed. We depart from the Navier-Stokes equation and explicitly point our attention on the physical assumptions disregarded elsewhere. We show that the usual assumptions can be relaxed leading to generalized formulas that hold even in the case of horizontal winds. This fundamental physics has some relevance to the current discussions on the climate debate.
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