Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000nyasa.898..127y&link_type=abstract
Annals of the New York Academy of Sciences: Astrophysical Turbulence and Convection, vol. 898, p. 127
Astronomy and Astrophysics
Astrophysics
Two Phase Flow, Turbulent Flow, Direct Numerical Simulation, Shear Flow, Flow Stability, Orr-Sommerfeld Equations, Fluid Flow, Flow Velocity, Viscosity, Hydrodynamics
Scientific paper
We examine the development of instability for a shear now made up of two distinct immiscible fluids, taking into account their disparate densities, viscosities, and the possibility of tension acting on the interface that separates them. Linear theory leads to a pair of coupled Orr-Sommerfeld equations supplemented by the required matching conditions at the interface. The most unstable mode found here is believed to explain the nature of the instability essential to breakup at its onset. In addition, we find a second mode, which can be most unstable in certain situations of interest. Direct numerical simulations are performed for a range of parameter values. At early times, the simulations reveal the linear and nonlinear amplitude growth, verifying the applicability and accuracy of the numerical method over a range of density and viscosity ratios. At later times, the simulations show the development of elongated structures and the subsequent breakup of the heavier fluid into drops.
Yecko Philip
Zaleski Stéphane
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