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Density fingering in spatially modulated Hele-Shaw cells.

Tamara Tóth1, Dezso Horváth, Agota Tóth

  • 1Department of Physical Chemistry, University of Szeged, P.O. Box 105, Szeged, H-6701, Hungary.

The Journal of Chemical Physics
|December 25, 2007
PubMed
Summary

Density fingering in chemical reactions was studied in a Hele-Shaw cell with varying gap widths. Researchers observed three distinct cellular patterns based on chemical composition and cell geometry, impacting reaction front evolution.

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Area of Science:

  • Chemical kinetics
  • Fluid dynamics
  • Pattern formation

Background:

  • Density fingering, a phenomenon driven by density gradients, is crucial in various chemical and geological processes.
  • Hele-Shaw cells provide a controlled environment to study fluid instabilities and pattern formation.
  • Periodically heterogeneous environments can significantly alter the dynamics of reactive fronts.

Purpose of the Study:

  • To experimentally investigate density fingering of the chlorite-tetrathionate reaction.
  • To analyze the influence of periodic heterogeneity in a Hele-Shaw cell on pattern evolution.
  • To characterize the different cellular structures formed and their dependence on system parameters.

Main Methods:

  • Utilizing a Hele-Shaw cell with spatially modulated gap width to introduce periodic heterogeneity.

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  • Conducting experiments on the chlorite-tetrathionate reaction under varying chemical compositions and geometric conditions.
  • Analyzing the initial front evolution using dispersion curves.
  • Characterizing long-time behavior through autocorrelation functions and mixing length measurements.

    • Main Results:

    • Observed three distinct types of cellular structures depending on spatial wavelength, gap width, and chemical composition.
    • Initial evolution of the reaction front was successfully characterized by dispersion curves.
    • Long-time pattern evolution was described by changes in the autocorrelation function and mixing length.

    Conclusions:

    • The study successfully demonstrated and characterized density fingering in a periodically heterogeneous Hele-Shaw cell.
    • The observed cellular structures are sensitive to both chemical and geometric parameters.
    • The findings provide insights into pattern formation and mixing dynamics in complex reactive systems.