Theoretical Study of Micro Flow Instability by Orr-Sommerfeld Equation in Micro Canal

摘要

Due to interfacial effects that concerns micro channel jets, Plateau-Rayleigh is a well-known instability. In micro fluidics context, the gravity is negligible and surface tension phenomena are predominant. Over the past decade, there has been extensive research into the design of microfluidic systems for chemical analysis. All previous works provided an overview of instabilities that lead to a rich variety of different flow regimes that can be obtained in a micro channel. We survey advancement over ten years in the development of micro scale devices for instability gaseous micro flow. A parametric instability study was systematically conducted with varying system pressure, heat flux, and channel size with and without inlet restrictor. This paper describes various works for micro channel instability flow in gaseous micro fluidic devices. The main objective of this work is the mathematical resolution of the Orr-Sommerfeld equation, and then used this solution to create perturbations in the flow by varying the pressure. The instability of physics is explored using previous theoretical and numerical analyses, as well as experimental observations. The difficulty of the analytical resolution of the Orr-Sommerfeld equation for a velocity profiles for the perturbation has always been a problem; that is why we are going to try to get it numerically.