Motion Equation and Solution of Mushroom Cloud

Tianquan Yun

doi:10.4236/acs.2021.111006

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.

Highlights

Mushroom cloud is a special cloud, created by atomic bomb or nuclear bomb
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
This paper aims to set up an equation on motion of mushroom cloud using model as [2], scientific laws, and modifying Navier-Stokes equations (N-S equations)

Summary

Introduction

Mushroom cloud is a special cloud, created by atomic bomb or nuclear bomb. There are many studies on A-bomb and H-bomb. No literatures on mushroom cloud description by analytic equation can be found. This paper aims to set up an equation on motion of mushroom cloud using model as [2], scientific laws, and modifying Navier-Stokes equations (N-S equations). The obtained equation is a vector partial deferential equation (PDE). It states that the derivative of velocity is with respect to time proportions to the gradient of temperature with respect to trace. The obtained solution is solved by the method of separating variables. This obtained equation and its solution have

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Methods

Conclusion