Transverse velocity effect on Hunt's flow

Hao Wang; Jie Mao; Ke Liu; Sheng Wang; Liang Yu

doi:10.1109/TPS.2017.2777844

Transverse velocity effect on Hunt's flow

Hao Wang, Jie Mao^*, Ke Liu, Sheng Wang, Liang Yu

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

Benchmark solutions for the validation of magnetohydrodynamic (MHD) codes are of great importance in the development of MHD solver. Hunt's case II is recommended as a benchmark case to validate MHD codes related to fusion applications. Hunt's analytical solution is based on 2-D fully developed laminar flow assumption, which means that the velocity vector has only the flow direction component. In this paper, Hunt's case II has been numerical simulated to investigate the transverse velocity effect using a 3-D MHD solver developed in OpenFOAM environment. A wide range of Hartmann numbers, Reynolds numbers, and wall conductance ratios is tested. Our results show that the 2-D assumption becomes invalid when the transverse velocity is over the order of 10^-3. Therefore, the analytical solution is not suitable for the validation of MHD duct flow at high Reynolds numbers.

Original language	English
Pages (from-to)	1534-1538
Number of pages	5
Journal	IEEE Transactions on Plasma Science
Volume	46
Issue number	5
DOIs	https://doi.org/10.1109/TPS.2017.2777844
Publication status	Published - May 2018
Event	IEEE Symposium on Fusion Engineering (27th : 2017) - Shanghai, China Duration: 4 Jun 2017 → 8 Jun 2017 Conference number: SOFE 2017

Keywords

3-D
Hunt's flow
magnetohydrodynamics (MHDs)
numerical analysis
transverse velocity
VALIDATION

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10.1109/TPS.2017.2777844

Cite this

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title = "Transverse velocity effect on Hunt's flow",

abstract = "Benchmark solutions for the validation of magnetohydrodynamic (MHD) codes are of great importance in the development of MHD solver. Hunt's case II is recommended as a benchmark case to validate MHD codes related to fusion applications. Hunt's analytical solution is based on 2-D fully developed laminar flow assumption, which means that the velocity vector has only the flow direction component. In this paper, Hunt's case II has been numerical simulated to investigate the transverse velocity effect using a 3-D MHD solver developed in OpenFOAM environment. A wide range of Hartmann numbers, Reynolds numbers, and wall conductance ratios is tested. Our results show that the 2-D assumption becomes invalid when the transverse velocity is over the order of 10-3. Therefore, the analytical solution is not suitable for the validation of MHD duct flow at high Reynolds numbers.",

keywords = "3-D, Hunt's flow, magnetohydrodynamics (MHDs), numerical analysis, transverse velocity, VALIDATION",

author = "Hao Wang and Jie Mao and Ke Liu and Sheng Wang and Liang Yu",

year = "2018",

month = may,

doi = "10.1109/TPS.2017.2777844",

language = "English",

volume = "46",

pages = "1534--1538",

journal = "IEEE Transactions on Plasma Science",

issn = "0093-3813",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

number = "5",

note = "IEEE Symposium on Fusion Engineering (27th : 2017) ; Conference date: 04-06-2017 Through 08-06-2017",

}

TY - JOUR

T1 - Transverse velocity effect on Hunt's flow

AU - Wang, Hao

AU - Mao, Jie

AU - Liu, Ke

AU - Wang, Sheng

AU - Yu, Liang

N1 - Conference code: SOFE 2017

PY - 2018/5

Y1 - 2018/5

N2 - Benchmark solutions for the validation of magnetohydrodynamic (MHD) codes are of great importance in the development of MHD solver. Hunt's case II is recommended as a benchmark case to validate MHD codes related to fusion applications. Hunt's analytical solution is based on 2-D fully developed laminar flow assumption, which means that the velocity vector has only the flow direction component. In this paper, Hunt's case II has been numerical simulated to investigate the transverse velocity effect using a 3-D MHD solver developed in OpenFOAM environment. A wide range of Hartmann numbers, Reynolds numbers, and wall conductance ratios is tested. Our results show that the 2-D assumption becomes invalid when the transverse velocity is over the order of 10-3. Therefore, the analytical solution is not suitable for the validation of MHD duct flow at high Reynolds numbers.

AB - Benchmark solutions for the validation of magnetohydrodynamic (MHD) codes are of great importance in the development of MHD solver. Hunt's case II is recommended as a benchmark case to validate MHD codes related to fusion applications. Hunt's analytical solution is based on 2-D fully developed laminar flow assumption, which means that the velocity vector has only the flow direction component. In this paper, Hunt's case II has been numerical simulated to investigate the transverse velocity effect using a 3-D MHD solver developed in OpenFOAM environment. A wide range of Hartmann numbers, Reynolds numbers, and wall conductance ratios is tested. Our results show that the 2-D assumption becomes invalid when the transverse velocity is over the order of 10-3. Therefore, the analytical solution is not suitable for the validation of MHD duct flow at high Reynolds numbers.

KW - 3-D

KW - Hunt's flow

KW - magnetohydrodynamics (MHDs)

KW - numerical analysis

KW - transverse velocity

KW - VALIDATION

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U2 - 10.1109/TPS.2017.2777844

DO - 10.1109/TPS.2017.2777844

M3 - Conference paper

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SN - 0093-3813

VL - 46

SP - 1534

EP - 1538

JO - IEEE Transactions on Plasma Science

JF - IEEE Transactions on Plasma Science

IS - 5

T2 - IEEE Symposium on Fusion Engineering (27th : 2017)

Y2 - 4 June 2017 through 8 June 2017

ER -

Transverse velocity effect on Hunt's flow

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Keywords

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