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Rod eutectic growth in bulk undercooled melts
  • Junfeng Xu,
  • Tao Zhang,
  • Peter Galenko
Junfeng Xu
Xian Technological University
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Tao Zhang
Institute for Frontier Materials
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Peter Galenko
Friedrich-Schiller-Universitat Jena
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Abstract

This article proposes an analytical model to understand the rod-growth of eutectic in the bulk undercooled melt. Based on the previous derivations of the lamellar eutectic growth models, relaxing the assumptions of small Peclet numbers, the model is derived by considering melt kinetic and thermal undercoolings. The intent of this model is to predict the transitions in eutectic pattern for conditions of the low and high growth velocity. In addition to investigation of the transition between lamellar and rod eutectic pattern, mathematical simplifications of solving Bessel function are presented as well, which is the most important priority to model calculation.

Peer review status:ACCEPTED

30 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
03 May 2021Submission Checks Completed
03 May 2021Assigned to Editor
17 May 2021Reviewer(s) Assigned
12 Jul 2021Review(s) Completed, Editorial Evaluation Pending
01 Aug 2021Editorial Decision: Revise Minor
24 Aug 20211st Revision Received
24 Aug 2021Submission Checks Completed
24 Aug 2021Assigned to Editor
13 Sep 2021Reviewer(s) Assigned
14 Sep 2021Review(s) Completed, Editorial Evaluation Pending
21 Sep 2021Editorial Decision: Accept