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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Main Authors: Yaochan Zhu, Hua Qiu, Zhijun Wang, Eckart Schnack
Format: Article
Language:English
Published: Wiley 2019-01-01
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
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institution Kabale University
issn 1687-8108
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language English
publishDate 2019-01-01
publisher Wiley
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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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