多孔介质流中Coriolis力对对流的影响

文中研究了当边界条件是双固壁时的旋转的Rivilin-Ericksen流体的平衡态热不稳定性,该流体是以达西定律为基础,且位于多孔介质中。通过分析得出了系统稳定的必要条件,并用迭代方法对线性稳定Rayleigh数临界值R_C进行了计算,可以看到,当泰勒数T≤30时流体失稳后只能呈现定常态,不会发生振荡,且R_C 是随T严格递增的,结果表明了旋转对系统有稳定作用。

The effect of coriolis force on thermosolutal convection in Rivlin-Ericksen fluid in porous medium

Thermal instability of the equilibrium state of the rotating Rivilin-Ericksen fuild based on the Darcy's law in porous medium was considered for the case of rigid-rigid boundaries. A necessary condition for stability was given, and the linear critical Rayleigh number R_C was calculated with the iterative method. It is shown that the oscillation is impossible for Taylor number T≤30 and the onset of instability as stationary convection remains the only possibility. It's shown that R_C strictly increases as T increases, i.e the rotation has the stabilizing effect on the system.