大气湍流引起飞机颠簸的动力学理论和数值实验研究
首发时间:2008-01-11
摘要:基于飞机载荷因数变量方程,无量纲的大气垂直运动方程和热力学方程,建立起描述大气湍流和飞机颠簸的湍流模型,并对该模型进行理论分析和数值模拟实验。研究指出负的Richardson数对应着静力不稳定和动力不稳定流动,在不稳定大气层结条件下,当Ri For information in English, please click here THE NUMERICAL SIMULATION AND DYNAMICAL ANALYSIS OF ATMOSPHERIC TURBULENCE AND AIRCRAFT BUMPS Abstract:In this paper, the aircraft loading coeffient variable equation is obtained from the equation of aircraft dynamics. It is pointed out that the aircraft bumps are mainly determined on the vertical wind velocity of the flow. The mathematical model of atmospheric turbulence and aircraft bumps is derived from the vertical motion equation and the thermodynamic equation based on the non-dimensional Navier-stokes equations. Lorenz equation representing cellular convection is derived from the model and solved numerically, the solutions of Lorenz equation are found to be unstable, and all of them are non-periodic. Numerical simulation of the model show that gravity waves may be dynamically unstable and lead to breaking and becoming turbulence. Non-periodic solutions with vertical space are obtained from the model under the small positive Richardson number and the big Reynolds number conditions. Non-periodic flow with time must occur under the small Reynolds number conditions. The dynamic character and the developing mechanism of turbulence are studied in this paper. Keywords:
atmospheric turbulence
Aircraft bumps
Gravity waves
Convectional unstable
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