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摘要
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 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 similar to(cHa)(-1). We find that for Ha greater than or similar to 300; the effect of wall conductivity on the stability of the flow is mainly determined by the effective Hartmann wall conductance ratio cHa : For c << 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 Ha approximate to 30/c. In a stronger magnetic field with cHa greater than or similar to 30, the destabilizing effect vanishes and the asymptotic results of Priede et al.
- 出版日期2017-7
