腔体高度对倾斜腔体的对流影响

Influence of Cavity Height on Convection of the Inclined Cavity

利用二维流体力学基本方程组的数值模拟,研究了具有倾斜角度的腔体的高度对流体的影响。在倾斜角度改变的状态下,腔体高度取不同值时,分析研究了对流运动的动力学特性。发现了随腔体高度的增加,小倾斜角度下稳定对流的对流圈数与之呈线性反比例关系,而对流波数基本稳定;大倾斜角度下对流圈数不变,流线状态发生变化;对流稳定后,对流振幅随腔体高度增大而增大,努塞尔数随腔体高度增大而减小,且得出对流振幅和努塞尔数与腔体高度的函数关系式。

The paper used a two-dimensional numerical simulation of basic equations of fluid mechanics to study the influence of cavity height with different inclination angle on fluid. When the inclination angle has changed and the cavity height is different, the dynamic characteristics of convective motion has been analyzed. It is found that there is a linear inverse relationship between the number of convection circles and the increasing cavity height under the stable convection with slight inclination angle,while the number of convection wave is basically consistent with the increasing cavity height. The number of convection circles remains the same at large inclination angle,but the state of flow line has changed. Once the convection is stable,the convection amplitude will increase and the Nusselt number will decrease with the increase of cavity heigh. The functional relationship among convection amplitude, Nusselt number and cavity height can be obtained.