Low-dimensional models for vertically falling viscous films.
Long wave evolution on free falling viscous films is described using a new evolution equation. The scaling proposed here brings in the viscous and pressure correction terms that are missing in the existing long-wave equations. Small amplitude expansion of the equation gives a dissipative form of the Kuromoto-Sivashinsky equation. Improved accuracy of the new equation over existing equations is demonstrated by comparison of neutral curves with Orr-Sommerfeld equations and experimental data.
Department of Chemical Engineering, University of Houston, Houston, TX 77204-4004, USA.
Mohan K R
MK
Panga
Vemuri
V
Balakotaiah