Applied Mechanics and Engineering Model on Raindrops falling

Abstract

The theoretical research on raindrops movement should promote water conservation in the Loess Plateau. Four influence factors on the raindrops falling in the Earth atmosphere were studied, which include gravitational force, buoyancy, viscous resistance and Coriolis force. Three mathematical models on raindrops were established with Newton’s dynamic equation. Simulated to the equations, all characteristics of raindrops falling were obtained. The research shows that the raindrops have different terminal falling speed as different size due to the viscous resistance. The buoyancy is almost no influence to all characteristics of raindrop falling. The Coriolis force leads raindrops to move eastward and southward, as well as, the eastward migration is more obvious than the southward. The raindrops falling migration from the viscous resistance action is very significant. Introduction Over the last decade, as aware of the severe hazards of soil erosion, much attention and interests were paid to the research on soil erosion for terminal speed, kinetic energy and influence factors on the raindrops falling in the Loess Plateau slope land. But the detailed researching materials about the characters or laws of raindrop movement are short and little, only some low precision research and the ideal model . Therefore, the studies on quasi-real raindrops movement mathematical model and its computer simulation will support not only the theoretical research of the dynamic model in the soil and water conservation(SWC) in Loess Plateau, but also enrich and perfect the detailed data of the quasi-real raindrop movement in theory and experiment. Further more, the classification standards of the convective cloud system and the stratiform precipitation cloud system should be put forward according to the different characteristics of the precipitation cloud system. Thus an innovative research idea will be proposed by the dynamics based on the statistical method. In this research, taking the Xi'an area for example, we analyzed influencing factors (i.e. gravitational force, buoyancy, viscous resistance and Coriolis force) on quasi-real raindrops in the Earth's atmosphere, established the dynamics mathematical model of raindrop movement. Comparing all numerical solutions with the experimental data of the SWC, we proposed detailed model and images of raindrops movement and four influence weighting factors. Parameters of Raindrops Height of Rainfall According to the prediction models used into the radio space communications systems design and the stratospheric height information at temperature 0°C under the rainfall conditions, the Consultative Committee of International Radio usually uses the following model to estimate the rainfall height [8]