Inertia effect in two‐dimensional MHD channel flow under a traveling sine wave magnetic field

1991 ◽  
Vol 3 (12) ◽  
pp. 3107-3116 ◽  
Author(s):  
Kazuyuki Ueno
2014 ◽  
Vol 760 ◽  
pp. 387-406 ◽  
Author(s):  
Jonathan Hagan ◽  
Jānis Priede

AbstractThis study is concerned with the stability of a flow of viscous conducting liquid driven by a pressure gradient in the channel between two parallel walls subject to a transverse magnetic field. Although the magnetic field has a strong stabilizing effect, this flow, similarly to its hydrodynamic counterpart – plane Poiseuille flow – is known to become turbulent significantly below the threshold predicted by linear stability theory. We investigate the effect of the magnetic field on two-dimensional nonlinear travelling-wave states which are found at substantially subcritical Reynolds numbers starting from $\mathit{Re}_{n}=2939$ without the magnetic field and from $\mathit{Re}_{n}\sim 6.50\times 10^{3}\mathit{Ha}$ in a sufficiently strong magnetic field defined by the Hartmann number $\mathit{Ha}$. Although the latter value is a factor of seven lower than the linear stability threshold $\mathit{Re}_{l}\sim 4.83\times 10^{4}\mathit{Ha}$, it is still more than an order of magnitude higher than the experimentally observed value for the onset of turbulence in magnetohydrodynamic (MHD) channel flow.


PAMM ◽  
2016 ◽  
Vol 16 (1) ◽  
pp. 631-632
Author(s):  
Dmitry Krasnov ◽  
Thomas Boeck

2000 ◽  
Vol 2000.1 (0) ◽  
pp. 17-18
Author(s):  
Mamoru TANAHASHI ◽  
Daigo FUJIMURA ◽  
Toshio MIYAUCHI

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