By A. M. Selvam
This publication goals to advertise the knowledge of a few of the fundamental mathematical and clinical matters within the topics when it comes to weather dynamics, chaos and quantum mechanics. it truly is in line with giant examine paintings in atmospheric technological know-how conducted over two decades.
Atmospheric flows express self comparable fractal fluctuations, a signature of long-range correlations on all space-time scales. lifelike simulation and prediction of atmospheric flows calls for the incorporation of the physics of saw fractal fluctuation features in conventional meteorological idea. A common platforms conception version for fractal space-time fluctuations in turbulent atmospheric flows is gifted and utilized to the formation of rain in hot clouds. This version provides scale-free common governing equations for cloud progress procedures. The version envisioned cloud parameters are in contract with suggested observations, specifically, the cloud drop-size distribution. Rain formation can happen in hot clouds inside of half-hour as saw in perform below beneficial stipulations of moisture provide within the surroundings. conventional cloud actual techniques for rain improvement calls for over an hour for a full-sized raindrop to shape.
The booklet offers historical past interpreting for postgraduate scholars of Meteorology, Atmospheric Sciences/Physics, Environmental Sciences, and scientists operating within the box of the subject of the e-book in addition to the multidisciplinary box of Nonlinear Dynamics and Chaos.
Read or Download Rain Formation in Warm Clouds: General Systems Theory PDF
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Extra resources for Rain Formation in Warm Clouds: General Systems Theory
Based on the above theory, equations are derived for the in-cloud vertical profiles of (i) ratio of actual cloud LWC ( q) to the adiabatic LWC ( qa), (ii) vertical velocity, (iii) temperature excess, (iv) temperature lapse rate, (v) total LWC ( qt), (vi) cloud growth time, (vii) cloud drop-size spectrum, and (viii) raindrop size spectrum. The equations are derived starting from the MFC process at cloud-base levels. This provides the basic energy input for the total cloud growth. 1 Vertical Profile of q/qa The observations of cloud LWC, q, indicate that the ratio q/qa is less than 1 due to dilution by vertical mixing.
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Ellis Horwood, Chichester Salingaros NA, West BJ (1999) A universal rule for the distribution of sizes. Environ Plan B: Plan Des 26:909–923 (Pion Publications) Selvam AM (1990) Deterministic chaos, fractals and quantumlike mechanics in atmospheric flows. Can J Phys 68:831–841. gov/html/ physics/0010046 Selvam AM (1993) Universal quantification for deterministic chaos in dynamical systems. Appl Math Model 17:642–649. gov/html/physics/0008010 Selvam AM (2005) A general systems theory for chaos, quantum mechanics and gravity for dynamical systems of all space–time scales.