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Related Experiment Videos

Interface pattern formation in nonlinear dissipative systems.

Rohit Trivedi1, Shan Liu, Scott Williams

  • 1Metals and Ceramics Sciences, Ames Laboratory (US-DOE) and Department of Materials Science and Engineering, Iowa State University, Ames, Iowa 50011, USA. trivedi@ameslab.gov

Nature Materials
|March 6, 2003
PubMed
Summary
This summary is machine-generated.

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Interface pattern selection in nonlinear dissipative systems is crucial across sciences. This study shows alloy solidification cell shapes resemble Saffman-Taylor finger patterns when a second phase is present.

Area of Science:

  • Physics
  • Chemistry
  • Biology
  • Materials Science

Background:

  • Interface pattern selection is vital in nonlinear dissipative systems.
  • Saffman-Taylor finger patterns, formed by fluid displacement, appear in diverse scientific fields.
  • Previous work suggests similarities between Saffman-Taylor fingers and patterns in flame fronts and diffusion-limited aggregation.

Purpose of the Study:

  • To experimentally investigate cell shape formation during directional solidification of alloys.
  • To determine if these cell shapes can be described by the Saffman-Taylor finger shape equation.

Main Methods:

  • Experimental studies of directional solidification in alloys.
  • Analysis of cell shapes formed during the process.

Related Experiment Videos

  • Comparison of observed cell shapes with the Saffman-Taylor finger shape equation.

    • Main Results:

    • Cell shapes formed during directional solidification of alloys were experimentally characterized.
    • These cell shapes were found to conform to the Saffman-Taylor finger shape equation.
    • The presence of a second phase in the intercellular region was a key factor.

    Conclusions:

    • The Saffman-Taylor finger shape equation provides a valid model for describing cell shapes in directional solidification of alloys.
    • This finding unifies pattern formation concepts across different scientific disciplines.
    • Highlights the role of second phases in dictating interface morphology.