关于Bénard问题中扰动衰减率的估计

On the estimate of the decay rate of disturbances of Bénard Problem

该文通过数值方法研究旋转的贝纳得(Bénard)系统,在边界条件为双自由面的情形下,扰动衰减率的下确界ξ0与旋转速率之间的关系,以及该下确界与瑞利(Rayleigh)数之间的关系。结果表明:ξ0是旋转速率的增函数,且随着旋转速率的增大而趋于一极限值;ξ0是瑞利数的减函数;此外ξ0的变化还依赖于Prandlt数。

Using numerical method,the dependence of the minimum decay rate of disturbance,ξ 0 on the rotating rate in rotating Bénard problem,and the relation between that minimum decay rate and Rayleigh number have been studied at the case of stress-free boundary conditions. The results show that ξ 0is increasing with the increase of rotating rate,and a limit of ξ 0exists as rotating rate approaching to ＋∞ ; ξ 0 is a decreasing function of Rayleigh number; and moreover,ξ 0 is dependent on Plandtl number. This paper presents the investigation.