Rain Drop Motion in an Atmosphere Containing Aerosols Particles

IF 0.9 4区 地球科学 Q4 METEOROLOGY & ATMOSPHERIC SCIENCES
T. R. Amanbaev
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Abstract

A mathematical model is constructed for the dynamics of a raindrop moving in a gravity field through an atmosphere containing fine particles, taking into account the processes of relaxation of its velocity and the capture of fine particles. It has been established that the equation of motion of a drop in the problem being posed belongs to the class of singularly perturbed equations, for the integration of which it is necessary to involve special algorithms. In the limiting modes of droplet motion, analytical solutions of the problem are obtained that describe the dependence of the droplet velocity and coordinate on time. In the complete formulation, the solutions of the problem are obtained numerically for different values of the defining parameters. The influence of the droplet size on the parameters of its motion in a concentrated aerodispersed mixture has been studied. The dependences of the limiting volume fraction of the solid component in the composition of the drop and the intensity of the precipitation of particles (washed out by the drop) on the earth’s surface on the size of the drop are obtained. A comparison of the calculated, approximate–analytical and experimental dependences of the steady-state rate of fall of a drop on its size has been carried out, and it shows their good agreement.

Abstract Image

含有气溶胶粒子的大气中的雨滴运动
摘要 建立了一个雨滴在重力场中穿过含有细小颗粒的大气层的动力学数学模型,其中考虑了雨滴速度的松弛过程和细小颗粒的捕获过程。已经确定,在所提出的问题中,液滴的运动方程属于奇异扰动方程,对其进行积分需要采用特殊的算法。在液滴运动的极限模式中,可以得到问题的解析解,这些解析解描述了液滴速度和坐标对时间的依赖关系。在完整公式中,问题的解是根据不同的定义参数值数值求得的。研究了液滴大小对其在浓空气分散混合物中运动参数的影响。得出了液滴成分中固体成分的极限体积分数和(被液滴冲出的)颗粒在地球表面的沉淀强度与液滴大小的关系。对液滴的稳态下落速率与液滴大小的关系进行了计算、近似分析和实验比较,结果表明它们非常一致。
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来源期刊
CiteScore
1.40
自引率
28.60%
发文量
56
审稿时长
6-12 weeks
期刊介绍: Izvestiya, Atmospheric and Oceanic Physics is a journal that publishes original scientific research and review articles on vital issues in the physics of the Earth’s atmosphere and hydrosphere and climate theory. The journal presents results of recent studies of physical processes in the atmosphere and ocean that control climate, weather, and their changes. These studies have possible practical applications. The journal also gives room to the discussion of results obtained in theoretical and experimental studies in various fields of oceanic and atmospheric physics, such as the dynamics of gas and water media, interaction of the atmosphere with the ocean and land surfaces, turbulence theory, heat balance and radiation processes, remote sensing and optics of both media, natural and man-induced climate changes, and the state of the atmosphere and ocean. The journal publishes papers on research techniques used in both media, current scientific information on domestic and foreign events in the physics of the atmosphere and ocean.
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