New Dynamic Equations of Aerosol in Air of Certain Type

• 作者: Tian-Quan Yun
• 来源期刊: 大气和气候科学(英文)
• 学科: 数学
• 关键词: AEROSOL Vapor Condensation COAGULATION Diffusion Boyle’s LAW Charles’ LAW Newton’s LAW ARCHIMEDES Principle of BUOYANCY REYNOLDS Transport Theorem Wind Speed Equation
• 年，卷（期）: dqhqhkxyw_2017,（4）
• 页码范围: 511-524
• 页数: 14页
• 分类号: O1

摘要

A new dynamic equation of aerosol in air is derived, using a model-in-model, by equilibrium of buoyancy, gravity and pressure, together with conservation laws of mass, momentum and energy via Reynolds transport theorem and supplemented by corresponding scientific laws for related properties of air and aerosols. This new dynamic equation of aerosol in air is a set of non-linear partial differential equations involved six unknown functions of mass densities, pressure, air and aerosol speeds and temperature. It has features: 1, it belongs to certain type;2, it emphases the effect of buoyancy in equilibrium and potential energy, and the Archimedes principle of buoyancy is firstly extended to lateral directions based on logical deduction, the phenomenon of stirring a glass of oil-water mixture and the recorded of Hurricane Isabel (2003) from space station. The later shows the evidence of existence of lateral buoyancy;3, the mass densities of air and aerosol of a point in our model are varied in different directions due to traction and are treated as vectors, and they have been used in the calculation of lateral buoyancy.