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 journalConference paperpeer-review

9 Citations (Scopus)


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 languageEnglish
Pages (from-to)1534-1538
Number of pages5
JournalIEEE Transactions on Plasma Science
Issue number5
Publication statusPublished - May 2018
EventIEEE Symposium on Fusion Engineering (27th : 2017) - Shanghai, China
Duration: 4 Jun 20178 Jun 2017
Conference number: SOFE 2017


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


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