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Buoyancy-drag mix model obtained by multifluid interpenetration equations.
Baolian Cheng1, A J Scannapieco
1Applied Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
Summary
This study derives a buoyancy drag equation for mixing zone edges, linking microscopic collisions to macroscopic fluid drag. Results align with experiments and inertial confinement fusion implosions.
Area of Science:
- Fluid dynamics
- Plasma physics
- Astrophysical fluid dynamics
Background:
- Rayleigh-Taylor and Richtmyer-Meshkov instabilities drive mixing zone edge motion.
- Existing models for this phenomenon are often phenomenological.
- A physics-based foundation is needed to connect microscopic and macroscopic behaviors.
Purpose of the Study:
- Derive a buoyancy drag equation for mixing zone edges.
- Provide a physics foundation for buoyancy-drag mix models.
- Establish a physical link between microscopic collision frequency and macroscopic fluid drag.
Main Methods:
- Utilized the multifluid interpenetration mix model equations from Scannapieco and Cheng.
- Derived a buoyancy drag equation from these fundamental equations.
- Compared model parameter predictions with experimental data.
Main Results:
- A buoyancy drag equation was successfully derived.
- The derivation establishes a physical connection between microscopic collision frequency and macroscopic fluid drag.
- Predicted values for the model parameter a(ss') range from 0.043-0.125, dependent on the Atwood number.
Conclusions:
- The derived equation offers a physics-based approach to modeling mixing zone dynamics.
- The findings are consistent with Rocket-Rig experiments and inertial confinement fusion capsule implosions.
- This work bridges the gap between microscopic physics and macroscopic fluid behavior in mixing zones.