Hydrodynamic Stability of Liquid Films Adjacent to Incompressible Gas Streams Including Effects of Interface Mass Transfer.
Abstract
A theoretical study of linear stability of a gas/liquid interface with and without evaporation at the interface is presented. The zero mass transfer problem is solved for linear mean velocity profiles in both gas and liquid. The mass transfer problem is solved for small rates of evaporation, which allows the reduction of exponential mean profiles to linear profiles. This makes the governing ORR-Sommerfeld, temperature and concentration perturbation equations amenable to closed form analytical solutions and therefore enables one to isolate the effects of mass transfer. The present analysis considers instabilities in both gas and liquid motions and thus departs from the customary assumption of gas motion over a rigid wavy wall. The system of governing equations yields an eigenvalue problem upon employing the methods of stability theory. The present results show that neglecting instabilities in the gas motion would predict a stable interface at moderate values of wave number when it is actually unstable. Mass transfer investigations are restricted to the modified Kelvin-Helmholtz mode and computations indicate that interface evaporation has a destabilizing effect at moderate wave numbers. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1976
- Accession Number
- ADA035229
Entities
People
- Joseph A. Schetz
- Prakash B. Joshi
Organizations
- Virginia Tech