Suppression of Instability in a Liquid Film Flow

项目编号：CTS 9616135项目负责人：Lin， Clarkson这是一项更详细地研究垂直膜中不稳定的开始可以在板块振荡的频率和幅度的某些离散带宽中完全抑制的发现的资助。其物理机制尚不清楚。提出了液膜沿振荡斜面流动的线性和非线性稳定性理论。基于导出方程的数值解，计算波浪膜中的能量收支及其谱性质，揭示抑制不稳定的机理。进一步了解包括重力、表面张力和剪切力在内的波动相互作用的控制具有根本性的科学意义，因为这个问题是流动控制的一般例子。从这项研究中获得的科学知识将有助于各种应用，包括照相胶片或纸张的涂层，高科技表面上的绝缘层或防腐蚀材料等保护层。控制稳定性的能力将有助于使许多涂覆产品更可靠、更安全、质量更高。它还将使许多涂层工艺变得更加高效、精确和节省材料，从而更加环保。

Abstract Proposal Number: CTS 9616135 Principal Investigator: Lin, Clarkson This is a grant to investigate in more detail the discovery that the onset of instability in a vertical film can be suppressed completely in certain discrete bandwidths of frequency and amplitude of plate oscillation. The physical mechanisms remain unknown. Linear and nonlinear stability theories of a liquid film flow down an oscillating inclined plane are proposed. Based on the numerical solution of the derived equations, the energy budget in wavy films and its spectral properties will be calculated to uncover the mechanism of suppression of instability. Further insight into the control of wave interactions involving gravitational, surface tension and shear forces is of fundamental scientific significance, because the problem is a generic example of flow control. The scientific knowledge to be gained from this study will be useful for a variety of applications including coating of photographic film or paper, protective layers such as insulation or anticorrosive material on high-tech surfaces, etc. The ability to control stability will help make many coated products more reliable, safer and of higher quality. It will also enable many coating processes to become more efficient, precise and material saving, and thus more environmentally friendly.