Accession Number:

AD0658548

Title:

THE RAYLEIGH-TAYLOR STABILITY OF CONFINED VISCOUS FLUIDS WITH AN INTERFACE,

Descriptive Note:

Final rept.,

Corporate Author:

FLUID THERMAL AND AEROSPACE SCIENCES CASE INST OF TECH CLEVELAND OHIO

Personal Author(s):

Report Date:

1967-06-01

Pagination or Media Count:

111.0

Abstract:

The paper is concerned with the interfacial stability of two stationary superposed viscous fluids confined within a rigid container and subject to both capillary and gravity forces, the gravitational force being directed from the heavier toward the lighter fluid. The stability of a static equilibrium interface when subject to a small disturbance is first posed as a linear initial boundary value problem and the solution obtained in terms of the normal modes associated with a normal mode analysis. The normal modes problem is then recast as a variational problem for the disturbance growth rates. Two parameters appear, the Bond number, and a viscous parameter. The linearization requires the viscous parameter to be of unit order. Using the method of undetermined functions, an approximate solution of the variational problem is obtained for the particular case of a right circular cylindrical container and a flat interface. The unstable growth rates are calculated and the critical Bond number determined to be 14.67. It is found that the viscous forces stabilize the interface. Author

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE