A sufficient criterion for RayleighTaylor instability of incompressible viscous threelayer flow
Abstract
Normal mode analysis was used to investigate RayleighTaylor instability (RTI) for threelayer viscous stratified incompressible steady flow. When the top third and bottom first layers extend up to infinity, the middle layer has a small thickness delta. It is assumed that the wave Reynolds number is sufficiently small. A dispersion relation is obtained which is valid up to the order of the maximal value of all possible K exp j (j is less than or equal to 0, and K is the wave number). A sufficient condition for instability is found to depend on ratios alpha and beta of the coefficients of viscosity, delta, the surface tension ratio, and wave number. This new analytical criterion for RTI of threelayer fluids recovers the results of the corresponding problem for twolayer fluids.
 Publication:

International Journal of Engineering Science
 Pub Date:
 1991
 Bibcode:
 1991IJES...29.1439P
 Keywords:

 Flow Stability;
 Incompressible Flow;
 Stratified Flow;
 Taylor Instability;
 Viscous Flow;
 Boundary Layer Stability;
 Interfacial Tension;
 Numerical Analysis;
 Reynolds Number;
 Steady Flow;
 Viscosity;
 Wavelengths;
 Fluid Mechanics and Heat Transfer