The effects of a horizontal magnetic field on the Rayleigh–Taylor instability

Fan Yang; Andrei Khodak; Howard A. Stone

doi:10.1016/j.nme.2018.12.023

The effects of a horizontal magnetic field on the Rayleigh–Taylor instability

Fan Yang, Andrei Khodak, Howard A. Stone

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

8 Scopus citations

Abstract

The stability of a thin conductive liquid film flowing along a solid wall is an important problem that occurs in many proposed fusion device designs. In this paper we investigate the linear stability of an electrically conductive liquid film of finite thickness in the presence of a strong magnetic field. Inviscid flows of finite and infinite electric conductivity are considered. The magnetic field is found to decrease the unstable growth rate for both finite and infinite conductivity fluids but only narrows the unstable modes for infinite conductivity fluids. Our theory serves as an extension to the classical theory by Chandrasekhar (1961) [1] by considering the finite-thickness and finite-conductivity effects.

Original language	English (US)
Pages (from-to)	175-181
Number of pages	7
Journal	Nuclear Materials and Energy
Volume	18
DOIs	https://doi.org/10.1016/j.nme.2018.12.023
State	Published - Jan 2019

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Materials Science (miscellaneous)
Nuclear Energy and Engineering

Keywords

MHD
PFC
Rayleigh–Taylor instability

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10.1016/j.nme.2018.12.023

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title = "The effects of a horizontal magnetic field on the Rayleigh–Taylor instability",

abstract = "The stability of a thin conductive liquid film flowing along a solid wall is an important problem that occurs in many proposed fusion device designs. In this paper we investigate the linear stability of an electrically conductive liquid film of finite thickness in the presence of a strong magnetic field. Inviscid flows of finite and infinite electric conductivity are considered. The magnetic field is found to decrease the unstable growth rate for both finite and infinite conductivity fluids but only narrows the unstable modes for infinite conductivity fluids. Our theory serves as an extension to the classical theory by Chandrasekhar (1961) [1] by considering the finite-thickness and finite-conductivity effects.",

keywords = "MHD, PFC, Rayleigh–Taylor instability",

author = "Fan Yang and Andrei Khodak and Stone, {Howard A.}",

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doi = "10.1016/j.nme.2018.12.023",

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T1 - The effects of a horizontal magnetic field on the Rayleigh–Taylor instability

AU - Yang, Fan

AU - Khodak, Andrei

AU - Stone, Howard A.

PY - 2019/1

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N2 - The stability of a thin conductive liquid film flowing along a solid wall is an important problem that occurs in many proposed fusion device designs. In this paper we investigate the linear stability of an electrically conductive liquid film of finite thickness in the presence of a strong magnetic field. Inviscid flows of finite and infinite electric conductivity are considered. The magnetic field is found to decrease the unstable growth rate for both finite and infinite conductivity fluids but only narrows the unstable modes for infinite conductivity fluids. Our theory serves as an extension to the classical theory by Chandrasekhar (1961) [1] by considering the finite-thickness and finite-conductivity effects.

AB - The stability of a thin conductive liquid film flowing along a solid wall is an important problem that occurs in many proposed fusion device designs. In this paper we investigate the linear stability of an electrically conductive liquid film of finite thickness in the presence of a strong magnetic field. Inviscid flows of finite and infinite electric conductivity are considered. The magnetic field is found to decrease the unstable growth rate for both finite and infinite conductivity fluids but only narrows the unstable modes for infinite conductivity fluids. Our theory serves as an extension to the classical theory by Chandrasekhar (1961) [1] by considering the finite-thickness and finite-conductivity effects.

KW - MHD

KW - PFC

KW - Rayleigh–Taylor instability

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M3 - Article

AN - SCOPUS:85059092899

SN - 2352-1791

VL - 18

SP - 175

EP - 181

JO - Nuclear Materials and Energy

JF - Nuclear Materials and Energy

ER -

The effects of a horizontal magnetic field on the Rayleigh–Taylor instability

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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