Calculation of Linear Stability of a Stratified Gas–Liquid Flow in an Inclined Plane Channel
- 3 Downloads
Linear stability of liquid and gas counterflows in an inclined channel is considered. The full Navier–Stokes equations for both phases are linearized, and the dynamics of periodic disturbances is determined by means of solving a spectral problem in wide ranges of Reynolds numbers for the liquid and vapor velocity. Two unstable modes are found in the examined ranges: surface mode (corresponding to the Kapitsa waves at small velocities of the gas) and shear mode in the gas phase. The wave length and the phase velocity of neutral disturbances of both modes are calculated as functions of the Reynolds number for the liquid. It is shown that these dependences for the surface mode are significantly affected by the gas velocity.
Keywordsviscous film flow nonlinear waves stability
Unable to display preview. Download preview PDF.
- 1.W. Nusselt, “Die Oberflächenkondensation des Wasserdampfes,” Z. VDI 60, 541–546 (1916).Google Scholar
- 15.Y. Y. Trifonov, “Counter-Current Gas-Liquid Wavy Film Flow between the Vertical Plates Analyzed Using the Navier–Stokes Equations,” AIChE J. 56, 1975–1987 (2010).Google Scholar