Analysis of Two Plane Fluid Layers in Narrow Rectangular Cavity

摘要

The stability of a liquid-vapor boundary is a critical behavior that influence the design of many thermo-fluid devices. It relates the spatial-distribution of drops as well as the drop size-distribution and of drop dispensers, and has a great effect on the determination of the critical heat flux in phase change systems. The existing hydrodynamic models are only able to predict the stability of a plane fluid sheet, surrounded by an infinite pool of liquid, as presented by Shea and Hagerty. However, a thin layer of liquid surrounding a vapor layer and enclosed between two non-porous solid boundaries has not been studied yet. The present research solves this problem through the use of a linearized stability analysis. Velocity potentials satisfying these conditions are introduced and a complete analysis is presented.