A numerical method for solving the dynamic three-dimensional Ericksen–Leslie equations for nematic liquid crystals subject to a strong magnetic field

2010 ◽  
Vol 165 (3-4) ◽  
pp. 143-157 ◽  
Author(s):  
Pedro A. Cruz ◽  
Murilo F. Tomé ◽  
Iain W. Stewart ◽  
Sean McKee
1996 ◽  
Vol 222 (1-2) ◽  
pp. 113-118 ◽  
Author(s):  
E. Andreoli de Oliveira ◽  
G. Barbero ◽  
A.M. Figueiredo Neto ◽  
A.K. Zvezdin

Author(s):  
G. Tomita ◽  
M. Kaneda ◽  
T. Tagawa ◽  
H. Ozoe

Three-dimensional numerical computations were carried out for the natural convection of air in a horizontal cylindrical enclosure in a magnetic field, which is modeled for a bore space of a horizontal superconducting magnet. The enclosure was cooled from the circumferential sidewall at the constant heat flux and vertical end walls were thermally insulated. A strong magnetic field was considered by a one-turn electric coil with the concentric and twice diameter of the cylinder. Without a magnetic field, natural convection occurs along the circumferential sidewall. When a magnetic field was applied, magnetizing force induced the additional convection, that is, the cooled air at the circumferential wall was attracted to the location of a coil. Consequently, the temperature around the coil decreased extensively.


Nonlinearity ◽  
2016 ◽  
Vol 29 (8) ◽  
pp. 2474-2496 ◽  
Author(s):  
A Contreras ◽  
C Garcia-Azpeitia ◽  
C J García-Cervera ◽  
S Joo

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