摘要
本文在大气对流运动基本方程组中引进具有周期变化的热源,研究了大气对流系统的强迫对流问题.利用截谱方法导出了控制大气对流运动的低阶非线性常微分方程组,并对该方程组进行了定性分析和数值模拟.结果表明:对普朗特数为7的大气可以出现混沌;有周期变化的热源比无周期变化的热源时湍流发生的临界莱雷数要小;混沌是一种非周期现象,它在相空间的轨迹是混乱的.具有周期变化的热源时的混沌对大气湿对流的研究有一定的实际意义.
In this paper The problem of forced convection of convection system in atmosphere is studied when heat source of periodic variation is added into the basic equations of convection motions in atmo- sphere.Using truncation method,the low-order nonlinear ordinary differential equations governing convection motions are derived,and the qualitative analyses and numerical analogue about the equa- tions are carried out.The results reveal that the chaos motions may appear for the Prandtl number σ= 7,the critical rayleigh number with heat source of periodic variation is smaller than that without heat source of periodic variation,the chaos is aperiodic phenomena,the trajectory of chaos motions is irregu- lar in phase space.The research of chaos motions with heat source of periodic variation is of signifi cance for understanding moist convection phenomena in atmosphere.
出处
《江西师范大学学报（自然科学版）》
CAS
1991年第2期132-138,共7页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
大气对流运动
热源
截谱
混沌
convection motions in atmosphere
truncated
prandtl number
chaos
