Secular instability of MHD equilibria in a magnetic quadrupole field

1979 ◽  
Vol 19 (10) ◽  
pp. 1392-1396 ◽  
Author(s):  
A. Thyagaraja ◽  
F.A. Haas
Keyword(s):  
Quadrupole Field ◽  
Magnetic Quadrupole ◽  
Mhd Equilibria ◽  
Magnetic Quadrupole Field

scholarly journals Atomic hyperfine resonances in a magnetic quadrupole field

2007 ◽  
Vol 76 (2) ◽  
Author(s):  
Shahpoor Saeidian ◽  
Igor Lesanovsky ◽  
Peter Schmelcher
Keyword(s):  
Quadrupole Field ◽  
Magnetic Quadrupole ◽  
Magnetic Quadrupole Field

Free convection of a gas induced by a magnetic quadrupole field

2003 ◽  
Vol 261 (3) ◽  
pp. 377-384 ◽  
Author(s):  
Lijun Yang ◽  
Jianxun Ren ◽  
Yaozu Song ◽  
Zengyuan Guo
Keyword(s):  
Free Convection ◽  
Quadrupole Field ◽  
Magnetic Quadrupole ◽  
Magnetic Quadrupole Field

Lattice Boltzmann simulation of transient natural convection of air in square cavity under a magnetic quadrupole field

2016 ◽  
Vol 26 (8) ◽  
pp. 2441-2461 ◽  
Author(s):  
Nan Xie ◽  
Yihai He ◽  
Ming Yao ◽  
Changwei Jiang
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Natural Convection ◽  
Lattice Boltzmann ◽  
Distribution Functions ◽  
Square Cavity ◽  
Quadrupole Field ◽  
Content Type ◽  
Magnetic Quadrupole ◽  
Magnetic Quadrupole Field

Purpose The purpose of this paper is to apply the lattice Boltzmann method (LBM) with multiple distribution functions model, to simulate transient natural convection of air in a two-dimensional square cavity in the presence of a magnetic quadrupole field, under non-gravitational as well as gravitational conditions. Design/methodology/approach The density-temperature double distribution functions and D2Q9 model of LBM for the momentum and temperature equations are currently employed. Detailed transient structures of the flow and isotherms at unsteady state are obtained and compared for a range of magnetic force numbers from 1 to 100. Characteristics of the natural convection at initial moment, quasi-steady state and steady state are presented in present work. Findings At initial time, effects of the magnetic field and gravity are both relatively limited, but the effects become efficient as time evolves. Bi-cellular flow structures are obtained under non-gravitational condition, while the flow presents a single vortex structure at first under gravitational condition, and then emerges a bi-cellular structure with the increase of magnetic field force number. The average Nusselt number generally increases with the augment of magnetic field intensity. Practical implications This paper will be useful in the researches on crystal material and protein growth, oxygen concentration sensor, enhancement or suppression of the heat transfer in micro-electronics and micro-processing technology, etc. Originality/value The current study extended the application of LBM on the transient natural convective problem of paramagnetic fluids in the presence of an inhomogeneous magnetic field.

Rydberg atoms in a magnetic quadrupole field

2005 ◽  
Vol 38 (2) ◽  
pp. S151-S170 ◽  
Author(s):  
Igor Lesanovsky ◽  
Jörg Schmiedmayer ◽  
Peter Schmelcher
Keyword(s):  
Rydberg Atoms ◽  
Quadrupole Field ◽  
Magnetic Quadrupole ◽  
Magnetic Quadrupole Field
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