The Effect of Nonplanar Oscillations Upon the Onset of Rayleigh-Benard Convection and Other Fluid Instabilities

将进行理论研究，以表征由不稳定浮力驱动、但由机械驱动振荡边界稳定的流体运动的大振幅、非线性稳定性特性。以前的研究表明，当只考虑小幅度扰动时，适当的驱动振荡可以实现镇定。目前的研究是探索大振幅区域，推测机械边界振荡可以导致对热驱动运动的强烈抑制。研究结果可应用于化学气相沉积薄膜等工程系统，在这些系统中，防止流动不稳定性可以产生更大的有效沉积速率。

Theoretical research will be conducted to characterize the large amplitude, non-linear stability properties of a fluid with motion driven by unstable buoyancy, but stabilized by a mechanically driven oscillatory boundary. Previous research has shown that stabilization can be achieved with the proper driving oscillation when only small amplitude disturbances are considered. The present investigation is to explore the large amplitude regime, where it is conjectured that mechanical boundary oscillations can result in a strong inhibition of thermally driven motion. The results have application to such engineering systems as Chemical Vapor Deposition of thin films, where prevention of flow instabilities could result in larger useful rates of deposition.