Transient three-dimensional flow characteristics of Si melt in a czochralski configuration under a cusp-shaped magnetic field

Yoo Cheol Won; Koichi Kakimoto; Hiroyuki Ozoe

doi:10.1080/104077899274561

Transient three-dimensional flow characteristics of Si melt in a czochralski configuration under a cusp-shaped magnetic field

Yoo Cheol Won, Koichi Kakimoto, Hiroyuki Ozoe

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

Transient three-dimensional numerical computations were carried out for the convection of silicon melt in a Czochralski configuration under a cusp-shaped magnetic field. Numerical conditions are Ha = 0 and 161 with Pr = 0.013, Ra = 3.92 × 10 ⁵, Re_cr 1329, and Re_cu = -1596. Computed results show elliptic velocity and temperature profiles near the top of the melt that rotate in a circumferential direction of a crucible even under an axially symmetric cusp-shaped magnetic field at Ha = 161. Elliptic velocity and temperature distributions were stable but oscillating as a function of time. Velocity and temperature oscillation became a rather regular periodic structure under a cusp-shaped magnetic field in comparison with the nonmagnetic case.

Original language	English
Pages (from-to)	551-561
Number of pages	11
Journal	Numerical Heat Transfer; Part A: Applications
Volume	36
Issue number	6
DOIs	https://doi.org/10.1080/104077899274561
Publication status	Published - 1999 Nov 1
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Condensed Matter Physics

Access to Document

10.1080/104077899274561

Cite this

@article{39fb25dff7a74b2c820db276660ea556,

title = "Transient three-dimensional flow characteristics of Si melt in a czochralski configuration under a cusp-shaped magnetic field",

abstract = "Transient three-dimensional numerical computations were carried out for the convection of silicon melt in a Czochralski configuration under a cusp-shaped magnetic field. Numerical conditions are Ha = 0 and 161 with Pr = 0.013, Ra = 3.92 × 10 5, Recr 1329, and Recu = -1596. Computed results show elliptic velocity and temperature profiles near the top of the melt that rotate in a circumferential direction of a crucible even under an axially symmetric cusp-shaped magnetic field at Ha = 161. Elliptic velocity and temperature distributions were stable but oscillating as a function of time. Velocity and temperature oscillation became a rather regular periodic structure under a cusp-shaped magnetic field in comparison with the nonmagnetic case.",

author = "Won, {Yoo Cheol} and Koichi Kakimoto and Hiroyuki Ozoe",

year = "1999",

month = nov,

day = "1",

doi = "10.1080/104077899274561",

language = "English",

volume = "36",

pages = "551--561",

journal = "Numerical Heat Transfer; Part A: Applications",

issn = "1040-7782",

publisher = "Taylor and Francis Ltd.",

number = "6",

}

TY - JOUR

T1 - Transient three-dimensional flow characteristics of Si melt in a czochralski configuration under a cusp-shaped magnetic field

AU - Won, Yoo Cheol

AU - Kakimoto, Koichi

AU - Ozoe, Hiroyuki

PY - 1999/11/1

Y1 - 1999/11/1

N2 - Transient three-dimensional numerical computations were carried out for the convection of silicon melt in a Czochralski configuration under a cusp-shaped magnetic field. Numerical conditions are Ha = 0 and 161 with Pr = 0.013, Ra = 3.92 × 10 5, Recr 1329, and Recu = -1596. Computed results show elliptic velocity and temperature profiles near the top of the melt that rotate in a circumferential direction of a crucible even under an axially symmetric cusp-shaped magnetic field at Ha = 161. Elliptic velocity and temperature distributions were stable but oscillating as a function of time. Velocity and temperature oscillation became a rather regular periodic structure under a cusp-shaped magnetic field in comparison with the nonmagnetic case.

AB - Transient three-dimensional numerical computations were carried out for the convection of silicon melt in a Czochralski configuration under a cusp-shaped magnetic field. Numerical conditions are Ha = 0 and 161 with Pr = 0.013, Ra = 3.92 × 10 5, Recr 1329, and Recu = -1596. Computed results show elliptic velocity and temperature profiles near the top of the melt that rotate in a circumferential direction of a crucible even under an axially symmetric cusp-shaped magnetic field at Ha = 161. Elliptic velocity and temperature distributions were stable but oscillating as a function of time. Velocity and temperature oscillation became a rather regular periodic structure under a cusp-shaped magnetic field in comparison with the nonmagnetic case.

UR - http://www.scopus.com/inward/record.url?scp=0343090481&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0343090481&partnerID=8YFLogxK

U2 - 10.1080/104077899274561

DO - 10.1080/104077899274561

M3 - Article

AN - SCOPUS:0343090481

SN - 1040-7782

VL - 36

SP - 551

EP - 561

JO - Numerical Heat Transfer; Part A: Applications

JF - Numerical Heat Transfer; Part A: Applications

IS - 6

ER -

Transient three-dimensional flow characteristics of Si melt in a czochralski configuration under a cusp-shaped magnetic field

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this