底部周期加热的局部对流斑图  

Patterns of localized convection heated periodically from below

作　　者：宁利中[1] 胡彪[1] 周洋[1] 李开继 王永起[1] 

机构地区：[1]西安理工大学水利水电学院,西安710048

出　　处：《应用力学学报》2016年第4期684-689,742,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10872164);陕西省重点学科建设专项资金(00X901)

摘　　要：运用Simple算法对二维流体力学基本方程组进行了数值模拟,探讨了普朗特数(Pr)为0.0272时矩形腔体底部周期加热对对流时空斑图的影响。当水平流动雷诺数(Re)为0时,发现了由正弦波周期加热引起的稳定的局部定常对流。当Re≠0时,由于正弦波周期加热与水平流动相互作用,获得了由正弦波周期加热和水平流动引起的局部行波对流。进一步比较和讨论了底部正弦波周期加热局部对流和混合流体Rayleigh-Benard局部对流的时空斑图,发现它们存在不同的机理。The simple algorithm is used to simulate the basic equations of two-dimensional hydrodynamics, and the influence of periodic heating from below on the spatio-temporal patterns of convection in a rectangular cell at Prandtl number Pr=0. 0272 is studied. For Reynolds number of the horizontal flow Re=0, the stably localized stationary overturning convection caused by sine wave periodic heating is found. Because of the interaction between sine wave periodic heating and horizontal flow at Re≠0, the localized traveling wave convection caused by sine wave periodic heating and horizontal flow is formed. Furthermore, the spatio-temporal patterns of the localized convection of sine wave periodic heating from below and of the localized structure of Rayleigh-Benard convection in binary fluid mixture are compared and discussed, it can be concluded that they have different mechanism.

关 键 词：对流 正弦波周期加热 时空斑图 局部对流 动力学 

分 类 号：O357[理学—流体力学]