This work was performed under the auspices of the U.S. Department of Energy by the University of California Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48.
Physical Review E
Fluid mechanics -- Mathematical models, Anisotropy, Interfaces (Physical sciences)
We present linearized stability analyses of the effect of slow anisotropic compression or expansion on the growth of perturbations at accelerated fluid interfaces in both planar and spherical geometries. The interface separates two fluids with different densities, compressibilities, and compression rates. We show that a perturbation of large mode number on a spherical interface grows at precisely the same rate as a similar perturbation on a planar interface subjected to the same normal and transverse compression rates.
J.D. Ramshaw and P. Amendt, "Linearized stability analysis of accelerated planar and spherical fluid interfaces with slow compression," Phys. Rev. E 67, 056304 (2003)