Stability of Electrically Conducting Fluid Flow in Channel under Magnetic Field

doi:10.16182/j.issn1004731x.joss.201708016

Abstract

Abstract: The stability of conducting fluid flow in a channel under a vertical magnetic field was simulated by non-normal modal stability analysis. The perfect conductivity assumption of the channel wall was employed in the model, and its effect on the stability problem was considered. The results show that when the Hartmann number Ha is larger than 9, the two opposite Hartmann boundary layers are essentially independent of each other; however, when the Hartmann number Ha is smaller than 9, there are still residual interactions between the two opposite Hartmann boundary layers, which has influences on the stability of the flow. Furthermore, the growth of disturbances in the present case is similar to the one with insulating walls. When the walls are conducting, the suppression effect of the magnetic field on the disturbances is more significant.

Key words: conducting walls, Hartmann boundary layers, stability, non-normal modal, numerical simulation, flow

CLC Number:

O361.5

Dong Shuai, Liu Lishuai, Ye Xuemin. Stability of Electrically Conducting Fluid Flow in Channel under Magnetic Field[J]. Journal of System Simulation, 2017, 29(8): 1762-1771.

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