Solution of Wind Speed Equation of Circulation Cyclone and Its Application

Abstract

The wind speed equation of circular cyclone is a set of non-linear partial differential equations (PDE) with 4 unknown functions u (wind speed), ρ (density), p (pressure) and T (temperature) and is separated to 14 unknown functions, 4 unknown constants related by 15 equations. The solution is found analytically by method of separating variables, dimension analysis, and iteration method guided by periodic g-contractive mapping theorem. Isolated system is defined and the uniform circular motion (UCM) of steady flow in a horizontal plane is studied. Application to calculation of wind speed, temperature, mass density and mechanical energy are given. Comparing with results based on statistics, probability, or involving random factor, the result of this paper has 3 features: (1) it belongs to certainty-type; (2) four factors uθ, ρ, p and T linked; (3) these four factors are expressed by functions of r and z ; while in others, they belong to uncertain-type; three factors ρ, p are T  are linked and are expressed by function of z only. Finally, conclusion is made.