Wind Speed Equation of Circular Cyclone
Tian-Quan Yun *
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, 510641, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
This paper uses a point model of cylindrical box wrapped by zero-weighted membrane to derive a wind speed equation of circular cyclone by method of section based on Boyle’s law, Charles’ law and Newton’s laws. The obtained equation is a non-linear partial differential equation (PDE) with two unknown functions, seldom seen in literatures. The obtained vertical motion is upward which has been confirmed by a recorded video; and it also shows that the mass of air approaches to zero at isothermal layer where the temperature keeps unchanged for any height in the layer.
Keywords: Wind speed equation, Newton’s law, Boyle’s law and Charles’ law, ideal gas law, cyclone, steady flow, D’Alembert’s principle