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Journal of Applied Mechanics and Technical Physics

2018 year, number 1

Calculation of Linear Stability of a Stratified Gas-Liquid Flow in an Inclined Plane Channel

Yu. Ya. Trifonov
Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Keywords: вязкое течение пленок, нелинейные волны, устойчивость, viscous film flow, nonlinear waves, stability


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 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.