Effect of turnaround lines of magnetic flux in two‐dimensional MHD channel flow under a traveling sine wave magnetic field

1993 ◽  
Vol 5 (2) ◽  
pp. 490-492 ◽  
Author(s):  
Kazuyuki Ueno
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Channel Flow ◽  
Sine Wave ◽  
Two Dimensional ◽  
Mhd Channel

FERMION THRESHOLD ENERGY STATES

1992 ◽  
Vol 06 (24) ◽  
pp. 1531-1534
Author(s):  
CHANGHONG ZHU
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Three Dimensional ◽  
Threshold Energy ◽  
Index Theorem ◽  
Equation Of Motion ◽  
Field Configuration ◽  
Two Dimensional ◽  
Magnetic Field Configuration ◽  
The Magnetic Field

We show that for a three-dimensional non-relativistic spinor confined on a plane, the spin-up component obeys the same equation of motion as a two-dimensional spinor. Threshold energy solution is investigated when the electron is moving in the vortex field. It can be proved from the index theorem that the existence of the threshold states depends on the magnetic flux only, not on the magnetic field configuration.

scholarly journals Two-dimensional nonlinear travelling waves in magnetohydrodynamic channel flow

2014 ◽  
Vol 760 ◽  
pp. 387-406 ◽  
Author(s):  
Jonathan Hagan ◽  
Jānis Priede
Keyword(s):  
Magnetic Field ◽  
Linear Stability ◽  
Channel Flow ◽  
Travelling Waves ◽  
Transverse Magnetic ◽  
Travelling Wave ◽  
Linear Stability Theory ◽  
Two Dimensional ◽  
Order Of Magnitude ◽  
The Magnetic Field

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.

Improvements of Feedback Control Algorism in Two-Dimensional Vector Magnetic Property Measurements

2010 ◽  
Vol 670 ◽  
pp. 327-335 ◽  
Author(s):  
Takashi Todaka ◽  
Takeru Sato ◽  
Seiji Ishikawa ◽  
Yoshitaka Maeda ◽  
Masato Enokizono
Keyword(s):  
Magnetic Field ◽  
Magnetic Property ◽  
Feedback Control ◽  
Magnetic Flux ◽  
High Magnetic Field ◽  
Type I ◽  
Control Methods ◽  
Two Dimensional ◽  
Dimensional Vector ◽  
Fast Measurement

This paper presents comparison of feedback control algorisms of magnetic flux conditions in two-dimensional vector magnetic property measurements under high magnetic field over 1.6 T. In order to develop a fast measurement algorism, several PID feedback control methods were tested. The results show that the proportion-derivative precedence type (I-PD) control is suitable for reduction of measurement times in vector magnetic property measurements.

scholarly journals Simulation and analysis of turbulent MHD channel flow with a streamwise magnetic field

PAMM ◽  
2016 ◽  
Vol 16 (1) ◽  
pp. 631-632
Author(s):  
Dmitry Krasnov ◽  
Thomas Boeck
Keyword(s):  
Magnetic Field ◽  
Channel Flow ◽  
Mhd Channel
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