TITLE:
Motion Equation and Solution of Mushroom Cloud
AUTHORS:
Tianquan Yun
KEYWORDS:
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
JOURNAL NAME:
Atmospheric and Climate Sciences,
Vol.11 No.1,
January
4,
2021
ABSTRACT: 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.