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Linearized stability analysis of accelerated planar and spherical fluid interfaces with slow compression.

John D Ramshaw1, Peter A Amendt

  • 1Lawrence Livermore National Laboratory, University of California, P.O. Box 808, L-097, Livermore, CA 94551, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
Summary

Anisotropic compression affects fluid interface perturbations. Large mode number perturbations on spherical and planar interfaces grow at the same rate under identical compression conditions.

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Area of Science:

  • Fluid dynamics
  • Plasma physics
  • Astrophysical fluid dynamics

Background:

  • Fluid interfaces are crucial in various scientific domains.
  • Understanding perturbation growth under compression is vital for modeling complex phenomena.
  • Previous studies often simplified compression effects or focused on specific geometries.

Purpose of the Study:

  • To analyze the linearized stability of accelerated fluid interfaces under slow anisotropic compression or expansion.
  • To compare perturbation growth in planar and spherical geometries.
  • To investigate the influence of fluid properties like density and compressibility.

Main Methods:

  • Linearized stability analysis was employed.
  • The study considered both planar and spherical interface geometries.

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  • Anisotropic compression and expansion rates were systematically varied.

    • Main Results:

    • A direct relationship was found between compression rates and perturbation growth.
    • Large mode number perturbations on spherical interfaces exhibit growth rates identical to those on planar interfaces.
    • The findings are independent of the specific densities and compressibilities of the fluids involved.

    Conclusions:

    • Anisotropic compression significantly influences fluid interface stability.
    • The equivalence of perturbation growth rates in planar and spherical geometries simplifies theoretical modeling.
    • This research provides a foundational understanding for phenomena involving accelerated interfaces under compression.