Title | ||
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Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model. |
Abstract | ||
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The use of the principle of maximum entropy generation per unit volume is a new approach in materials science that has implications for understanding the morphological evolution during solid-liquid interface growth, including bifurcations with or without diffuseness. A review based on a pre-publication arXiv preprint is first presented. A detailed comparison with experimental observations indicates that the Maximum Entropy Production Rate-density model (MEPR) can correctly predict bifurcations for dilute alloys during solidification. The model predicts a critical diffuseness of the interface at which a plane-front or any other form of diffuse interface will become unstable. A further confidence test for the model is offered in this article by comparing the predicted liquid diffusion coefficients to those obtained experimentally. A comparison of the experimentally determined solute diffusion constant in dilute binary Pb-Sn alloys with those predicted by the various solidification instability models (1953-2011) is additionally discussed. A good predictability is noted for the MEPR model when the interface diffuseness is small. In comparison, the more traditional interface break-down models have low predictiveness. |
Year | DOI | Venue |
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2020 | 10.3390/e22010040 | ENTROPY |
Keywords | Field | DocType |
maximum entropy production rate,MEPR,planar morphology,cellular morphology,morphological bifurcations at solid-liquid interface,growth velocity,temperature gradients,coefficient of diffusion at high temperatures | Predictability,Mathematical optimization,Instability,Morphology (linguistics),Mechanics,Maximum entropy production,Principle of maximum entropy,Mathematics,Binary number,Bifurcation,Preprint | Journal |
Volume | Issue | ISSN |
22 | 1 | 1099-4300 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yaw Delali Bensah | 1 | 0 | 0.34 |
J. A. Sekhar | 2 | 0 | 0.34 |