A Simplified Scaling Law of Cell-Dendrite Transition in Directional Solidification
To describe the cell-dendrite transition (CDT) during directional solidification, a new simplified scaling law is proposed and verified by quantitative phase field simulations. This scaling law bears clear physical foundation with consideration of the overall effects of primary spacing, pulling velo...
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Format: | Article |
Language: | English |
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Wiley
2019-01-01
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Series: | Advances in Condensed Matter Physics |
Online Access: | http://dx.doi.org/10.1155/2019/8767640 |
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author | Yaochan Zhu Hua Qiu Zhijun Wang Eckart Schnack |
author_facet | Yaochan Zhu Hua Qiu Zhijun Wang Eckart Schnack |
author_sort | Yaochan Zhu |
collection | DOAJ |
description | To describe the cell-dendrite transition (CDT) during directional solidification, a new simplified scaling law is proposed and verified by quantitative phase field simulations. This scaling law bears clear physical foundation with consideration of the overall effects of primary spacing, pulling velocity, and thermal gradient on the onset of sidebranches. The analysis results show that the exponent parameters in this simplified scaling law vary within different systems, which mediates the discrepancy of exponent parameters in previous experiments. The scaling law also presents an explanation for the destabilizing mechanism of thermal gradient in sidebranching dynamics. |
format | Article |
id | doaj-art-3a8ac35312814ccca242a7d9beb38071 |
institution | Kabale University |
issn | 1687-8108 1687-8124 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Condensed Matter Physics |
spelling | doaj-art-3a8ac35312814ccca242a7d9beb380712025-02-03T06:06:57ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242019-01-01201910.1155/2019/87676408767640A Simplified Scaling Law of Cell-Dendrite Transition in Directional SolidificationYaochan Zhu0Hua Qiu1Zhijun Wang2Eckart Schnack3Xi’an Aeronautical Polytechnic Institute, Xi’an 710089, ChinaXi’an Aeronautical Polytechnic Institute, Xi’an 710089, ChinaState Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an, ChinaKarlsruhe Institute of Technology, Karlsruhe 76131, GermanyTo describe the cell-dendrite transition (CDT) during directional solidification, a new simplified scaling law is proposed and verified by quantitative phase field simulations. This scaling law bears clear physical foundation with consideration of the overall effects of primary spacing, pulling velocity, and thermal gradient on the onset of sidebranches. The analysis results show that the exponent parameters in this simplified scaling law vary within different systems, which mediates the discrepancy of exponent parameters in previous experiments. The scaling law also presents an explanation for the destabilizing mechanism of thermal gradient in sidebranching dynamics.http://dx.doi.org/10.1155/2019/8767640 |
spellingShingle | Yaochan Zhu Hua Qiu Zhijun Wang Eckart Schnack A Simplified Scaling Law of Cell-Dendrite Transition in Directional Solidification Advances in Condensed Matter Physics |
title | A Simplified Scaling Law of Cell-Dendrite Transition in Directional Solidification |
title_full | A Simplified Scaling Law of Cell-Dendrite Transition in Directional Solidification |
title_fullStr | A Simplified Scaling Law of Cell-Dendrite Transition in Directional Solidification |
title_full_unstemmed | A Simplified Scaling Law of Cell-Dendrite Transition in Directional Solidification |
title_short | A Simplified Scaling Law of Cell-Dendrite Transition in Directional Solidification |
title_sort | simplified scaling law of cell dendrite transition in directional solidification |
url | http://dx.doi.org/10.1155/2019/8767640 |
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