Multiple instabilities of thermocapillary flow in a cylindrical pool with a rotating disk on the free surface

Jinchao He, Hao Liu, Qiulin Li, Na Zhang, Mi Nie, and Weina Mao
Phys. Rev. E 105, 055101 – Published 3 May 2022

Abstract

The thermocapillary flow instabilities of silicon melt in a cylindrical pool with a rotating disk on the free surface (a simplified model of the Czochralski crystal growth) are numerically investigated by using the linear stability analysis. The complete neutral or critical stability curves are determined. Results show that the neutral stability curves form a closed region in the parameter plane, in which the steady axisymmetric flow is linearly stable. Two types of rotating wave (RW1 and RW2) instabilities and two types of hydrothermal wave (HTW1 and HTW2) instabilities are found. The energy analysis shows that all the instabilities are hydrodynamic (inertial) in nature. Specifically, RW1 and RW2 are caused by the azimuthal shear induced by the crystal rotation, while HTW1 and HTW2 are caused by the radial shear induced by the thermocapillary force.

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  • Received 16 February 2022
  • Accepted 17 April 2022

DOI:https://doi.org/10.1103/PhysRevE.105.055101

©2022 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsNonlinear Dynamics

Authors & Affiliations

Jinchao He1,2,3, Hao Liu1,2,3,*, Qiulin Li1,2,3, Na Zhang4, Mi Nie5, and Weina Mao5

  • 1Chongqing Southwest Research Institute for Water Transport Engineering, Chongqing Jiaotong University, Chongqing 400016, China
  • 2Key Laboratory of Inland Waterway Regulation Engineering Ministry of Communications, Chongqing Jiaotong University, Chongqing 400074, China
  • 3Chongqing Xike Consulting Center for Water Transport Engineering, Chongqing 400016, China
  • 4Upper Changjiang River Bureau of Hydrological and Water Resources Survey, Chongqing 400020, China
  • 5Chongqing Urban Construction Investment (Group) Co., Ltd., Chongqing 400015, China

  • *Corresponding author: liuh@cqjtu.edu.cn

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Issue

Vol. 105, Iss. 5 — May 2022

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