Turbulence and Diffusion in the Atmosphere

Detection of turbulent thermal diffusion of particles in numerical simulations

“…(17) for particle motions. This situation has direct applications to atmospheric turbulence with lower-troposphere temperature inversions, where the density scale height due to gravity is about 8 km, while the characteristic temperature inhomogeneity scale inside the temperature inversions is about 500-800 m, and the integral scale of turbulence is about 50-100 m (see, e.g., [2]). …”

“…Transport and mixing of small particles (aerosols and droplets) in turbulent fluid flow is of fundamental importance in a large variety of applications (environmental sciences, physics of the atmosphere and meteorology, industrial turbulent flows and turbulent combustion; see, e.g., [1][2][3][4][5][6][7][8]). There are also astrophysical applications, in particular in the context of protoplanetary accretion discs [9][10][11][12].…”

Modelagem Matemática em Turbulência Atmosférica

“…onde ρ ié a função de correlação euleriana e β ié a relação entre as escalas de decorrelação lagrangiana e euleriana [10]: …”

“…Entre a gama de dificuldades para modelar os movimentos da atmosfera está a representação da turbulência, queé um fenômeno permanente nos movimentos atmosféricos [10,78].…”

The Studying of Random Cauchy Convection Diffusion Models under Mean Square and Mean Fourth Calculus

“…These contaminants are emitted from diverse sources, and some of them react together to form new compounds in the air. Industrialized nations have made important progress toward controlling some pollutants in recent decades, but air quality is much worse in many developing countries, and global circulation patterns can transport some types of pollution rapidly around the world [4][5][6][7][8]. To complete this model we need to assign the physically relevant boundary and the initial condition.…”