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The effect of finite-conductvity Hartmann walls on the linear stability of Hunt's flow | | Thomas Arlt
; Jānis Priede
; Leo Bühler
; | | Date: |
9 May 2017 | | Abstract: | We analyse numerically the linear stability of the fully developed liquid
metal flow in a square duct with insulating side walls and thin electrically
conducting horizontal walls with the wall conductance ratio $c=0.01cdots 1$
subject to a vertical magnetic field with the Hartmann numbers up to
$Ha=10^{4}.$ In a sufficiently strong magnetic field, the flow consists of two
jets at the side walls walls and a near-stagnant core with the relative
velocity $sim(cHa)^{-1}.$ We find that for $Hagtrsim300,$ the effect of wall
conductivity on the stability of the flow is mainly determined by the effective
Hartmann wall conductance ratio $cHa.$ For $cll 1,$ the increase of the
magnetic field or that of the wall conductivity has a destabilizing effect on
the flow. Maximal destabilization of the flow occurs at $Haapprox30/c.$ In a
stronger magnetic field with cHagtrsim30, the destabilizing effect vanishes
and the asymptotic results of Priede et al. [J. Fluid Mech. 649, 115, 2010] for
the ideal Hunt’s flow with perfectly conducting Hartmann walls are recovered. | | Source: | arXiv, 1705.3375 | | Services: | Forum | Review | PDF | Favorites | |
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