Influence of External Magnetic Field on 3D Thermocapillary Convective Flow in Various Thin Annular Pools Filled with Silicon Melt

Document Type : Regular Article

Authors

1 Department of Mechanical, University of UAMO-Bouira, 10000, Algeria

2 Laboratory of Materials and Sustainable Development (LMDD), University of AMO-Bouira, 10000, Algeria

3 Technicum of Collo, Education –Skikda, 21000, Algeria

Abstract

Thermocapillary convection flows can have an impact on the homogeneity of floating zone semiconductor crystals. An external magnetic field can also help to reduce this non-homogeneity. The goal of this research is to minimize thermocapillary convection in various thin annular pools filled with silicon melt. A three-dimensional (3D) numerical technique is proposed that employs an implicit finite volume formulation. The steady-state thermocapillary flow in six thin annular pools (R=0.3, 0.4, 0.5, 0.6, 0.7, and 0.8) subjected to an externally induced magnetic field was observed. Under magnetic field influence, the effects of increasing annular gap, R on the hydrothermal wave number and azimuthal pattern are obtained. The results reveal that hydrothermal waves m=14, m=11, m=8, m=6, m=4, and m=3 are observed in steady flow for R=0.3; 0.4; 0.5; 0.6; 0.7, and R=0.8, respectively. The maximum temperature occurs in the intermediate zone between the inner and outer walls when there is no magnetic field. Under a strong enough magnetic field, isothermal lines change form and become concentric circles. As the amplitude of the magnetic field (Ha) grows, the azimuthal velocity and temperature at the free surface reduce, and the asymmetric 3D flow becomes axisymmetric steady when Ha surpasses a threshold value.

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Main Subjects

References

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Journal of Applied Fluid Mechanics
Volume 16, Issue 9 - Serial Number 77
September 2023
Pages 1853-1864

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History

  • Received: 08 February 2023
  • Revised: 06 April 2023
  • Accepted: 20 April 2023
  • Available online: 01 July 2023

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