General equation describing viscosity of metallic melts under horizontal magnetic field

doi:10.1088/1674-1056/26/3/036601

中国物理B ›› 2017, Vol. 26 ›› Issue (3): 36601-036601.doi: 10.1088/1674-1056/26/3/036601

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

General equation describing viscosity of metallic melts under horizontal magnetic field

Yipeng Xu(许亦鹏), Xiaolin Zhao(赵晓林), Tingliang Yan(颜廷亮)

Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials, Ministry of Education, Shandong University, Jinan 250061, China

收稿日期:2016-05-06 修回日期:2016-12-20 出版日期:2017-03-05 发布日期:2017-03-05
通讯作者: Yipeng Xu E-mail:1244470102@qq.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51371107).

General equation describing viscosity of metallic melts under horizontal magnetic field

Yipeng Xu(许亦鹏), Xiaolin Zhao(赵晓林), Tingliang Yan(颜廷亮)

Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials, Ministry of Education, Shandong University, Jinan 250061, China

Received:2016-05-06 Revised:2016-12-20 Online:2017-03-05 Published:2017-03-05
Contact: Yipeng Xu E-mail:1244470102@qq.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51371107).

摘要/Abstract

摘要： Viscosities of pure Ga, Ga₈₀Ni₂₀, and Ga₈₀Cr₂₀ metallic melts under a horizontal magnetic field were investigated by a torsional oscillation viscometer. A mathematical physical model was established to quantitatively describe the viscosity of single and binary metallic melts under a horizontal magnetic field. The relationship between the viscosity and the electrical resistivity under the horizontal magnetic field was studied, which can be described as η_B=η+(2H)/(πΩ)B² (η_B is the viscosity under the horizontal magnetic field, η is the viscosity without the magnetic field, H is the height of the sample, Ω is the electrical resistivity, and B is the intensity of magnetic field). The viscosity under the horizontal magnetic field is proportional to the square of the intensity of the magnetic field, which is in very good agreement with the experimental results. In addition, the proportionality coefficient of η_B and quadratic B, which is related to the electrical resistivity, conforms to the law established that increasing the temperature of the completely mixed melts is accompanied by an increase of the electrical resistivity. We can predict the viscosity of metallic melts under magnetic field by measuring the electrical resistivity based on our equation, and vice versa. This discovery is important for understanding condensed-matter physics under external magnetic field.

关键词: viscosity, horizontal magnetic field, metallic melts, electrical resistivity

Abstract: Viscosities of pure Ga, Ga₈₀Ni₂₀, and Ga₈₀Cr₂₀ metallic melts under a horizontal magnetic field were investigated by a torsional oscillation viscometer. A mathematical physical model was established to quantitatively describe the viscosity of single and binary metallic melts under a horizontal magnetic field. The relationship between the viscosity and the electrical resistivity under the horizontal magnetic field was studied, which can be described as η_B=η+(2H)/(πΩ)B² (η_B is the viscosity under the horizontal magnetic field, η is the viscosity without the magnetic field, H is the height of the sample, Ω is the electrical resistivity, and B is the intensity of magnetic field). The viscosity under the horizontal magnetic field is proportional to the square of the intensity of the magnetic field, which is in very good agreement with the experimental results. In addition, the proportionality coefficient of η_B and quadratic B, which is related to the electrical resistivity, conforms to the law established that increasing the temperature of the completely mixed melts is accompanied by an increase of the electrical resistivity. We can predict the viscosity of metallic melts under magnetic field by measuring the electrical resistivity based on our equation, and vice versa. This discovery is important for understanding condensed-matter physics under external magnetic field.

Key words: viscosity, horizontal magnetic field, metallic melts, electrical resistivity

中图分类号: (Studies of viscosity and rheological properties of specific liquids)

66.20.Ej

64.30.Ef (Equations of state of pure metals and alloys) 75.20.En (Metals and alloys)

许亦鹏, 赵晓林, 颜廷亮. General equation describing viscosity of metallic melts under horizontal magnetic field[J]. 中国物理B, 2017, 26(3): 36601-036601.

Yipeng Xu(许亦鹏), Xiaolin Zhao(赵晓林), Tingliang Yan(颜廷亮). General equation describing viscosity of metallic melts under horizontal magnetic field[J]. Chin. Phys. B, 2017, 26(3): 36601-036601.

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General equation describing viscosity of metallic melts under horizontal magnetic field

General equation describing viscosity of metallic melts under horizontal magnetic field

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