Particle in short-range potential in two dimensional structure in magnetic field

2006 ◽  
Vol 3 (6) ◽  
pp. 319-323 ◽  
Author(s):  
S P Andreev ◽  
T V Pavlova
Keyword(s):  
Magnetic Field ◽  
Short Range ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Short Range Potential ◽  
Range Potential

Magneto-thermoelectric effects in two-dimensional quantum well: role of short-range potential

2009 ◽  
Vol 81 (1) ◽  
pp. 015701 ◽  
Author(s):  
F M Hashimzade ◽  
Kh A Hasanov ◽  
B H Mehdiyev ◽  
S Cakmak
Keyword(s):  
Quantum Well ◽  
Short Range ◽  
Two Dimensional ◽  
Thermoelectric Effects ◽  
Short Range Potential ◽  
Range Potential

scholarly journals Magnetoconvection in a horizontal duct flow at very high Hartmann and Grashof numbers

2021 ◽  
Vol 931 ◽  
Author(s):  
R. Akhmedagaev ◽  
O. Zikanov ◽  
Y. Listratov
Keyword(s):  
Magnetic Field ◽  
Magnetic Field Effect ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Duct Flow ◽  
Mean Flow ◽  
Horizontal Magnetic Field ◽  
Nuclear Fusion Reactor ◽  
Dimensional Approximation ◽  
Very High

Direct numerical simulations and linear stability analysis are carried out to study mixed convection in a horizontal duct with constant-rate heating applied at the bottom and an imposed transverse horizontal magnetic field. A two-dimensional approximation corresponding to the asymptotic limit of a very strong magnetic field effect is validated and applied, together with full three-dimensional analysis, to investigate the flow's behaviour in the previously unexplored range of control parameters corresponding to typical conditions of a liquid metal blanket of a nuclear fusion reactor (Hartmann numbers up to $10^4$ and Grashof numbers up to $10^{10}$ ). It is found that the instability to quasi-two-dimensional rolls parallel to the magnetic field discovered at smaller Hartmann and Grashof numbers in earlier studies also occurs in this parameter range. Transport of the rolls by the mean flow leads to magnetoconvective temperature fluctuations of exceptionally high amplitudes. It is also demonstrated that quasi-two-dimensional structure of flows at very high Hartmann numbers does not guarantee accuracy of the classical two-dimensional approximation. The accuracy deteriorates at the highest Grashof numbers considered in the study.

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