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Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model.

Yaw Delali Bensah1, J A Sekhar2

  • 1Department of Materials Science and Engineering, University of Ghana, Legon, Accra P.O. Box LG 77, Ghana.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary
This summary is machine-generated.

The Maximum Entropy Production Rate-density (MEPR) model accurately predicts bifurcations in solidifying alloys by identifying a critical interface diffuseness. This new approach in materials science offers better predictability than traditional models for morphological evolution.

Keywords:
MEPRcellular morphologycoefficient of diffusion at high temperaturesgrowth velocitymaximum entropy production ratemorphological bifurcations at solid–liquid interfaceplanar morphologytemperature gradients

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Area of Science:

  • Materials Science
  • Thermodynamics
  • Solidification Science

Background:

  • Morphological evolution during solid-liquid interface growth is complex.
  • Understanding bifurcations in solidification requires advanced models.
  • Traditional models show limitations in predicting interface instability.

Purpose of the Study:

  • To introduce and validate the Maximum Entropy Production Rate-density (MEPR) model.
  • To assess the MEPR model's ability to predict bifurcations during alloy solidification.
  • To compare the MEPR model's predictions with experimental data and traditional models.

Main Methods:

  • Review of a pre-publication arXiv preprint on maximum entropy generation.
  • Comparison of MEPR model predictions with experimental observations of dilute alloys.
  • Validation using solute diffusion coefficients in Pb-Sn alloys.
  • Comparative analysis with historical solidification instability models (1953-2011).

Main Results:

  • The MEPR model accurately predicts bifurcations in dilute alloys during solidification.
  • A critical interface diffuseness for plane-front instability is predicted.
  • MEPR shows good predictability for liquid diffusion coefficients, especially with small interface diffuseness.
  • MEPR outperforms traditional interface breakdown models in predictive accuracy.

Conclusions:

  • The MEPR model provides a novel and effective approach for understanding solidification morphology.
  • The model successfully predicts interface instability and bifurcations.
  • MEPR offers enhanced predictability compared to conventional methods in materials science.