Mathematical Modeling of Key Factors Affecting Dust Particles and Soil Erosion in the Atmosphere
Abstract
This study presents a comprehensive investigation of the key factors influencing the transport and diffusion of dust particles in the atmosphere, with particular attention to wind-driven soil erosion. The mathematical modeling approach incorporates the physical and mechanical properties of particles, including size, density, shape, and aerodynamic characteristics, allowing for an accurate representation of particle dispersion processes. The model accounts for environmental variables such as wind speed and direction, atmospheric turbulence, soil moisture, and surface conditions. Computational experiments were conducted to simulate the dynamics of dust particle movement along the x, y, and z axes. The results are illustrated through graphs demonstrating the temporal evolution of particle velocities and trajectories under varying conditions. The findings highlight the significant impact of particle properties and environmental factors on atmospheric transport and soil erosion, providing insights for effective land management and environmental protection strategies. This study investigates the main factors affecting the transport and diffusion of dust particles in the atmosphere. The analysis is based on equations that account for the physical and mechanical properties of particles, reflecting the dispersion processes of these dust particles in the atmosphere. Computational experiments were conducted to obtain the results, and graphs are presented illustrating the dynamics of particle movement along the x, y, and z directions.