Axisymmetric Magnetohydrodynamic Channel Flow

1962 ◽  
Vol 29 (2) ◽  
pp. 143-150 ◽  
Author(s):  
F. D. HAINS ◽  
Y. A. YOLER
Keyword(s):  
Channel Flow ◽  
Magnetohydrodynamic Channel

scholarly journals A variational principle for magnetohydrodynamic channel flow

1970 ◽  
Vol 43 (1) ◽  
pp. 211-224 ◽  
Author(s):  
Norman C. Wenger
Keyword(s):  
Channel Flow ◽  
Variational Formulation ◽  
Fluid Velocity ◽  
Channel Cross Section ◽  
Mhd Generator ◽  
Square Channel ◽  
Flow Problems ◽  
Finite Electrical Conductivity ◽  
Magnetohydrodynamic Channel ◽  
Mhd Channel

A variational formulation is presented for a class of magnetohydrodynamic (MHD) channel flow problems. This formulation yields solutions for the fluid velocity and the induced electric potential in a channel with a uniform transverse static magnetic field. The channel cross-section is constant but arbitrary, and the channel walls can be either insulators or conductors with finite electrical conductivity. Electric currents are permitted to enter and leave the channel walls so that the solutions are suitable for MHD generator and pump applications. An example of a square channel with conducting walls is solved as an illustration.

Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control

2008 ◽  
Vol 57 (10) ◽  
pp. 805-812 ◽  
Author(s):  
Chao Xu ◽  
Eugenio Schuster ◽  
Rafael Vazquez ◽  
Miroslav Krstic
Keyword(s):  
Boundary Control ◽  
Channel Flow ◽  
Magnetohydrodynamic Channel

Theoretical analysis of quasi-one-dimensional compressible magnetohydrodynamic channel flow

2021 ◽  
Vol 411 ◽  
pp. 126500
Author(s):  
Ke Xu ◽  
Xiang Li ◽  
Zhenxun Gao ◽  
Chongwen Jiang ◽  
Chun-Hian Lee
Keyword(s):  
Theoretical Analysis ◽  
Channel Flow ◽  
One Dimensional ◽  
Magnetohydrodynamic Channel

Numerical study of turbulent magnetohydrodynamic channel flow

2007 ◽  
Vol 572 ◽  
pp. 179-188 ◽  
Author(s):  
THOMAS BOECK ◽  
DMITRY KRASNOV ◽  
EGBERT ZIENICKE
Keyword(s):  
Channel Flow ◽  
Numerical Study ◽  
Layer Structure ◽  
Momentum Balance ◽  
Mean Flow ◽  
Mean Velocity ◽  
Static Approximation ◽  
The Mean ◽  
Magnetohydrodynamic Channel ◽  
Normal Magnetic Field

Mean flow properties of turbulent magnetohydrodynamic channel flow with electrically insulating channel walls are studied using high-resolution direct numerical simulations. The Lorentz force due to the homogeneous wall-normal magnetic field is computed in the quasi-static approximation. For strong magnetic fields, the mean velocity profile shows a clear three-layer structure consisting of a viscous region near each wall and a plateau in the middle connected by logarithmic layers. This structure reflects the significance of viscous, turbulent, and electromagnetic stresses in the streamwise momentum balance dominating the viscous, logarithmic, and plateau regions, respectively. The width of the logarithmic layers changes with the ratio of Reynolds- and Hartmann numbers. Turbulent stresses typically decay more rapidly away from the walls than predicted by mixing-length models.

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