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- W3101740282 abstract "We analyse numerically the linear stability of fully developed liquid metal flow in a square duct with insulating side walls and thin, electrically conducting horizontal walls. The wall conductance ratio $c$ is in the range of 0.01 to 1 and the duct is subject to a vertical magnetic field with Hartmann numbers up to $mathit{Ha}=10^{4}$ . In a sufficiently strong magnetic field, the flow consists of two jets at the side walls and a near-stagnant core with relative velocity ${sim}(cmathit{Ha})^{-1}$ . We find that for $mathit{Ha}gtrsim 300,$ the effect of wall conductivity on the stability of the flow is mainly determined by the effective Hartmann wall conductance ratio $cmathit{Ha}.$ 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 $mathit{Ha}approx 30/c$ . In a stronger magnetic field with $cmathit{Ha}gtrsim 30$ , the destabilizing effect vanishes and the asymptotic results of Priede et al. ( J. Fluid Mech. , vol. 649, 2010, pp. 115–134) for ideal Hunt’s flow with perfectly conducting Hartmann walls are recovered." @default.
- W3101740282 created "2020-11-23" @default.
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- W3101740282 date "2017-06-08" @default.
- W3101740282 modified "2023-09-27" @default.
- W3101740282 title "The effect of finite-conductivity Hartmann walls on the linear stability of Hunt’s flow" @default.
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- W3101740282 doi "https://doi.org/10.1017/jfm.2017.322" @default.
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