Abstract
By means of a weakly nonlinear stability analysis it is shown that the Hartmann boundary layer presents subcritical instability in the proximity of the minimum linear critical Reynolds number. This gives further support to earlier speculations that finite amplitude effects account for the discrepancies between the results of the linear stability analysis and experimental evidence on laminarisation.
Original language | English |
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Pages (from-to) | 345-353 |
Number of pages | 9 |
Journal | European Journal of Mechanics, B/Fluids |
Volume | 22 |
Issue number | 4 |
DOIs | |
State | Published - Jul 2003 |
Externally published | Yes |
Funding
This work was supported by the Engineering and Physical Sciences Research Council of the UK, grant GR/N04072.
Keywords
- Hartmann layers
- Magnetohydrodynamics
- Transition
- Weakly nonlinear