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Weakly nonlinear stability of Hartmann boundary layers. (English) Zbl 1030.76017

Summary: 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 linear stability analysis and experimental evidence on laminarisation.

MSC:

76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76E30 Nonlinear effects in hydrodynamic stability

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References:

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