Title
Solidification Morphology and Bifurcation Predictions with the Maximum Entropy Production Rate Model.
Abstract
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
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 Bensah100.34
J. A. Sekhar200.34