Motion Equation and Solution of Mushroom Cloud

• 作者: Tianquan Yun
• 来源期刊: 大气和气候科学(英文)
• 学科: 数学
• 关键词: A-Bomb H-Bomb Mushroom Cloud Boyles Law Chares Law Mass-Energy Equation Gravity-Buoyancy Field Principle of Minimum Energy Release Principle of Reciprocal Displacement N-S Equations
• 年，卷（期）: 2021,（1）
• 页码范围: 86-97
• 页数: 12页
• 分类号: O17

摘要

Using model like hot air bloom with zero-weighted membrane wrapped hot air, surrounded by cold air, this paper sets up a partial differential equation (PDE) of motion of mushroom cloud by modifying Navier-Stokes (N-S) equations. The obtained equation is a vector PDE. It states that the derivative of velocity is with respect to time proportions to the gradient of temperature with respect to trace. Its solution is obtained by the method of separating variables for scalar function. These results have been compared with well agreement with literatures. Highlight: The Principle of Minimum Energy Release (PMER) is used to prove the pulse-mode of explosion of nuclear weapon, as great Earthquake, and optimum path problems.