Thermocapillary instability with a rotating magnetic field and system rotation

Nancy Ma; Laurent Martin Witkowski; John S. Walker

doi:10.1115/IMECE2003-43131

Thermocapillary instability with a rotating magnetic field and system rotation

Nancy Ma, Laurent Martin Witkowski, John S. Walker

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper presents a linear stability analysis for the thermocapillary convection in a liquid bridge bounded by two planar liquid-solid interfaces at the same temperature and by a cylindrical free surface with an axisymmetric heat input. The two solid boundaries are rotated at the same angular velocity in one azimuthal direction, and a rotating magnetic field is applied in the opposite azimuthal direction. The critical values of the Reynolds number for the thermocapillary convection and the critical-mode frequencies are presented as functions of the magnetic Taylor number for the rotating magnetic field and of the Reynolds number for the angular velocity of the solid boundaries.

Original language	English
Pages (from-to)	297-303
Number of pages	7
Journal	American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume	374
Issue number	3
DOIs	https://doi.org/10.1115/IMECE2003-43131
State	Published - 2003
Externally published	Yes
Event	2003 ASME International Mechanical Engineering Congress - Washington, DC., United States Duration: Nov 15 2003 → Nov 21 2003

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title = "Thermocapillary instability with a rotating magnetic field and system rotation",

abstract = "This paper presents a linear stability analysis for the thermocapillary convection in a liquid bridge bounded by two planar liquid-solid interfaces at the same temperature and by a cylindrical free surface with an axisymmetric heat input. The two solid boundaries are rotated at the same angular velocity in one azimuthal direction, and a rotating magnetic field is applied in the opposite azimuthal direction. The critical values of the Reynolds number for the thermocapillary convection and the critical-mode frequencies are presented as functions of the magnetic Taylor number for the rotating magnetic field and of the Reynolds number for the angular velocity of the solid boundaries.",

author = "Nancy Ma and Witkowski, {Laurent Martin} and Walker, {John S.}",

year = "2003",

doi = "10.1115/IMECE2003-43131",

language = "English",

volume = "374",

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journal = "American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD",

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number = "3",

note = "2003 ASME International Mechanical Engineering Congress ; Conference date: 15-11-2003 Through 21-11-2003",

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T1 - Thermocapillary instability with a rotating magnetic field and system rotation

AU - Ma, Nancy

AU - Witkowski, Laurent Martin

AU - Walker, John S.

PY - 2003

Y1 - 2003

N2 - This paper presents a linear stability analysis for the thermocapillary convection in a liquid bridge bounded by two planar liquid-solid interfaces at the same temperature and by a cylindrical free surface with an axisymmetric heat input. The two solid boundaries are rotated at the same angular velocity in one azimuthal direction, and a rotating magnetic field is applied in the opposite azimuthal direction. The critical values of the Reynolds number for the thermocapillary convection and the critical-mode frequencies are presented as functions of the magnetic Taylor number for the rotating magnetic field and of the Reynolds number for the angular velocity of the solid boundaries.

AB - This paper presents a linear stability analysis for the thermocapillary convection in a liquid bridge bounded by two planar liquid-solid interfaces at the same temperature and by a cylindrical free surface with an axisymmetric heat input. The two solid boundaries are rotated at the same angular velocity in one azimuthal direction, and a rotating magnetic field is applied in the opposite azimuthal direction. The critical values of the Reynolds number for the thermocapillary convection and the critical-mode frequencies are presented as functions of the magnetic Taylor number for the rotating magnetic field and of the Reynolds number for the angular velocity of the solid boundaries.

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U2 - 10.1115/IMECE2003-43131

DO - 10.1115/IMECE2003-43131

M3 - Conference article

AN - SCOPUS:1842429538

SN - 0272-5673

VL - 374

SP - 297

EP - 303

JO - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

JF - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

IS - 3

T2 - 2003 ASME International Mechanical Engineering Congress

Y2 - 15 November 2003 through 21 November 2003

ER -

Thermocapillary instability with a rotating magnetic field and system rotation

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