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Related Experiment Video

Updated: Jun 8, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Phase-field study of solidification in three-dimensional channels.

Klaus Kassner¹, Rahma Guérin, Tristan Ducousso

¹Institut für Theoretische Physik, Otto-von-Guericke Universität Magdeburg, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 28, 2010

Summary

This study explores 3D solidification in capillaries, revealing diverse growth modes like single, double, and quadruple fingers. Complex dynamics, including chaotic states, emerge with increasing undercooling and depend on capillary geometry.

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Area of Science:

Materials Science
Physics
Fluid Dynamics

Background:

Solidification processes are fundamental in materials science and crystal growth.
Understanding dendritic growth in confined geometries is crucial for controlling material properties.

Purpose of the Study:

To investigate three-dimensional solidification patterns in capillaries of varying cross-sections.
To analyze the influence of undercooling and capillary geometry on solidification dynamics.

Main Methods:

Numerical simulations of three-dimensional solidification.
Analysis of growth modes and dynamical behaviors under varying undercooling and geometric parameters.

Main Results:

Observed diverse growth modes: stationary symmetric/asymmetric single fingers, oscillating double/quadruple fingers.
Identified chaotic states in unexpected parameter regions.
Determined the supercritical nature of the symmetric-to-asymmetric finger bifurcation.

Conclusions:

Capillary geometry and undercooling significantly dictate solidification dynamics.
Complex phenomena like chirality breaking and unexpected chaos arise from these interactions.