Peer-reviewedCC BYExamples and Counterexamples
Have we been using the wrong Hartmann number? Fixing fundamental errors in MHD Jeffery–Hamel flow
- 1Department of Mathematics, The Hong Kong University of Science and Technology, HKUST, Clear Water Bay, Kowloon, Hong Kong
- 2School of Mathematics & Statistics, The University of New South Wales, UNSW, Sydney, NSW, 2052, Australia; Corresponding author.
Abstract
In recent years there has been significant interest in understanding magnetohydrodynamic (MHD) Jeffery–Hamel problems involving two-dimensional flow. Such dynamics involve an incompressible, conducting, viscous fluid flowing between two inclined planar walls, forming a converging or diverging channel. In reading the associated literature, we discovered a repeated issue with the reported form of the Hartmann number, linked with a frequent inconsistency in the form of the ordinary differential equation under consideration. The purpose of this note is to bring this fundamental error to light and to suggest some corrections.
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BibTeX
@article{lo2026have,
title = {{Have we been using the wrong Hartmann number? Fixing fundamental errors in MHD Jeffery–Hamel flow}},
author = {Lik Kan Nicholas Lo and Christopher C. Tisdell},
journal = {Examples and Counterexamples},
year = {2026},
month = nov,
doi = {10.1016/j.exco.2026.100235},
url = {https://doi.org/10.1016/j.exco.2026.100235},
note = {CC BY},
}
RIS
TY - JOUR
TI - Have we been using the wrong Hartmann number? Fixing fundamental errors in MHD Jeffery–Hamel flow
AU - Lik Kan Nicholas Lo
AU - Christopher C. Tisdell
PY - 2026
DA - 2026/11/07
JO - Examples and Counterexamples
DO - 10.1016/j.exco.2026.100235
UR - https://doi.org/10.1016/j.exco.2026.100235
AB - In recent years there has been significant interest in understanding magnetohydrodynamic (MHD) Jeffery–Hamel problems involving two-dimensional flow. Such dynamics involve an incompressible, conducting, viscous fluid flowing between two inclined planar walls, forming a converging or diverging channel. In reading the associated literature, we discovered a repeated issue with the reported form of the Hartmann number, linked with a frequent inconsistency in the form of the ordinary differential equation under consideration. The purpose of this note is to bring this fundamental error to light and to suggest some corrections.
SN - 2666-657X
ER -