论文标题
薄膜的Navier-Stokes方程的静电控制
Electrostatic control of the Navier-Stokes equations for thin films
论文作者
论文摘要
得出了一个健壮的控制方案，并测试了Navier-Stokes方程，用于在倾斜固体表面下方的薄膜的二维多相流。控制通过平行于底物的电极使用，该电极在气相中诱导电场，并在液体气体界面处于麦克斯韦的压力。使用模型预测控制回路得出第二个电极处的施加电势，并最佳控制高保真降低维度模型。在这种实现中，流体的界面形状成功地控制了；但是，该算法足以控制任何其他量的关注。
A robust control scheme is derived and tested for the Navier-Stokes equations for two-dimensional multiphase flow of a thin film underneath an inclined solid surface. Control is exerted via the use of an electrode parallel to the substrate, which induces an electric field in the gas phase, and a resultant Maxwell stress at the liquid-gas interface. The imposed potential at the second electrode is derived using a model predictive control loop, together with optimal control of a high-fidelity reduced-dimensional model. In this implementation the interfacial shape of the fluid is successfully controlled; however, the algorithm is sufficiently general to control any other quantity of interest.
