Benard热对流扰动不稳定激发的空间耗散结构解

THE SPACIAL DISSIPATIVE STRUCTURE SOLUTIONS EXCITED BY UNSTABLE DISTURBANCE OF BENARD THERMAL CONVECTION

本文采用临界摄动方法,讨论了 Benard 热对流在系统失稳后,引入非线性强迫作用,形成稳定的空间耗散结构解的过程。结果表明,当参数取适当的数值时,垂直及水平速度、温度随高度的变化和在 X—Z 剖面的流线分布与实验基本一致,且解具有超临界分叉的性质。

In this paper,by means of the critical perturbation method,the formation of the stable solu-tions of spacial dissipative structure of Benard thermal convection,by incorparating the nonlinearforcing terms into the system after destruction of its equilibrium state,is examined.The resultsshow that when the parameters are suitable values,the vertical and horizontal velocities,tempera-ture change with the height,and the distribution of streamline on X—Z cross-section are basicallyconsistent with the experimental results.Morever,the solutions have the characteristic of the su-percritical bifurcations.