Melt Nucleating and Two-Dimensional Temperature Fluctuation Model

CHEN Mingwen; ZHAO Wenbin; WANG Zidong; SUN Renji

doi:10.13374/j.issn1001-053x.2004.03.020

Volume 26 Issue 3

Aug. 2021

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CHEN Mingwen, ZHAO Wenbin, WANG Zidong, SUN Renji. Melt Nucleating and Two-Dimensional Temperature Fluctuation Model[J]. Chinese Journal of Engineering, 2004, 26(3): 304-306. doi: 10.13374/j.issn1001-053x.2004.03.020

Citation:

CHEN Mingwen, ZHAO Wenbin, WANG Zidong, SUN Renji. Melt Nucleating and Two-Dimensional Temperature Fluctuation Model[J]. Chinese Journal of Engineering, 2004, 26(3): 304-306. doi: 10.13374/j.issn1001-053x.2004.03.020

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Melt Nucleating and Two-Dimensional Temperature Fluctuation Model

doi: 10.13374/j.issn1001-053x.2004.03.020

1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, China;
2. Materials Science and Engineering School, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2003-07-31
Available Online: 2021-08-16

Abstract

Abstract

A two-dimension steady temperature fluctuation mathematical model is studied. The solution of the model is proved to be existential, unique and steady. The temperature solution of the mathematical model shows an exponentially descendent and oscillatory pattern with respect to the crystal growth direction. It theoretically confirms that the horizontal melt convection condition accelerates temperature fluctuation and results in a large number of nuclei.
- metal solidification,
- crystal growing,
- partial differential equation