具有活跃降水的非线性山波

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-10 DOI:10.1016/j.nonrwa.2025.104351

Tony Lyons

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引用次数: 0

摘要

用拉格朗日变量描述的精确非线性山波在潮湿大气中具有恒定的汽化焓。结果表明，如果给定温度下流动中的一条流线是饱和的，那么该流动的动力学足以推断出流动中任何其他流线达到饱和的温度。然后应用蒸汽的状态方程来推导大气流动中水成分的饱和压力。然后用热力学第一定律来推导由于气流沉淀而产生的区域内的热增益。这种热损失也被用来估计从这一区域流出的水流星沉降物的速率。

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Nonlinear mountain waves with active precipitation

Exact nonlinear mountain waves described using Lagrangian variables are considered with constant enthalpy of vapourisation in a moist atmosphere. It is shown that if a streamline in the flow with a given temperature is saturated, then the dynamics of the flow are sufficient to deduce the temperature at which any other streamline in the flow becomes saturated. The equation of state for vapour is then applied to deduce the saturation pressure for the water component of the atmospheric flow also. The first law of thermodynamics is then used to deduce the heat gain within a region due to precipitation from the flow. This heat loss is also used to obtain an estimate for the rate of hydrometeor fallout from this region of the flow.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.