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Related Experiment Video

Updated: Jul 12, 2026

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids

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Asymptotic scaling laws for imploding thin fluid shells.

M M Basko¹, J Meyer-ter-Vehn

¹Max-Planck-Institut für Quantenoptik, D-85748 Garching, Germany.

Physical Review Letters

|June 13, 2002

Summary

This study establishes scaling laws for thin shell implosions in converging flows. A critical adiabatic index (gamma) determines distinct density buildup patterns during implosion, impacting stagnation density and pressure.

Area of Science:

Fluid dynamics
Plasma physics
High-energy-density physics

Background:

Understanding implosion dynamics is crucial for inertial confinement fusion and astrophysical phenomena.
Thin shell implosions in converging flows present complex fluid instabilities and energy transfer mechanisms.

Purpose of the Study:

To establish universal scaling laws for thin shell implosions in converging flows.
To identify distinct implosion phases and their governing parameters.
To investigate the role of the adiabatic index in density buildup and stagnation properties.

Main Methods:

Analysis of implosion trajectories in the in-flight aspect ratio (A) and Mach number (M) parametric plane.
Identification of asymptotic branches representing different implosion phases for A, M >> 1.

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Investigation of the critical adiabatic index (gamma(cr)) separating density buildup patterns.

Main Results:

Three asymptotic branches corresponding to three implosion phases were identified.
A critical adiabatic index, gamma(cr) = 1+2/nu, was found to govern the final implosion phase.
Scaling laws for stagnation density (rho(s)) and pressure (P(s)) with peak Mach number (M(0)) were derived.

Conclusions:

The study provides a comprehensive framework for understanding thin shell implosions.
The critical adiabatic index offers a new parameter for controlling implosion outcomes.
Derived scaling laws are essential for predictive modeling in related fields.