Theoretical analysis of the electrical and magnetic field distributions in a toroidal core with circular cross section

1999 ◽  
Vol 35 (3) ◽  
pp. 1924-1931 ◽  
Author(s):  
Daming Zhang ◽  
Chek Fok Foo
Keyword(s):  
Magnetic Field ◽  
Theoretical Analysis ◽  
Cross Section ◽  
Circular Cross Section ◽  
Field Distributions

The evolution of magnetic flux ropes in sheared plasma flows

2000 ◽  
Vol 64 (1) ◽  
pp. 41-55 ◽  
Author(s):  
J. M. SCHMIDT ◽  
P. J. CARGILL
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Shear Layer ◽  
Cross Section ◽  
Circular Cross Section ◽  
Flux Rope ◽  
Plasma Pressure ◽  
Magnetic Flux Ropes ◽  
Flux Ropes ◽  
The Magnetic Field

The evolution of magnetic flux ropes in a sheared plasma flow is investigated. When the magnetic field outside the flux rope lies parallel to the axis of the flux rope, a flux rope of circular cross-section, whose centre is located at the midpoint of the shear layer, has its shape distorted, but remains in the shear layer. Small displacements of the flux-rope centre above or below the midpoint of the shear layer lead to the flux-rope being expelled from the shear layer. This motion arises because small asymmetries in the plasma pressure around the flux-rope boundary leads to a force that forces the flux rope into a region of uniform flow. When the magnetic field outside the flux rope lies in a plane perpendicular to the flux-rope axis, the flux rope and external magnetic field reconnect with each other, leading to the destruction of the flux rope.

Excitation of a conducting cylinder by an axial electric dipole

1968 ◽  
Vol 46 (3) ◽  
pp. 211-219
Author(s):  
L. Shafai
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Cross Section ◽  
Electric Dipole ◽  
Circular Cross Section ◽  
Conducting Cylinder ◽  
Infinite Integral ◽  
The Magnetic Field

The electromagnetic field of an axial electric dipole near a perfectly conducting cylinder of circular cross section is expressed in terms of an infinite integral. For the magnetic field on the surface of the cylinder, the integral is evaluated analytically for cylinders of small and large radii and numerically for cylinders of moderate radii.

Plasma-Konfigurationen mit Oberflächenströmen, die von einem Magnetfeld im Gleichgewicht gehalten werden

1958 ◽  
Vol 13 (4) ◽  
pp. 260-267
Author(s):  
R. Kippenhahn
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Axial Symmetry ◽  
Constant Pressure ◽  
Circular Cross Section ◽  
Variable Cross Section ◽  
Surface Currents ◽  
Variable Cross ◽  
Geometrical Properties ◽  
Variable Diameter

Configurations of a plasma with constant pressure and with surface-currents are examined which are in equilibrium with a exterior magnetic potential-field. With the aid of an existence-theorem from the theory of partial differential equations the question of the existence of such configurations is reduced to differential-geometrical properties of the surface of the plasma. These properties are then investigated for the torus of circular cross-section with an interior azimutal magnetic field and for a surface of axial symmetry with variable diameter. Finally a torus of variable cross-section is treated approximately.

Dynamic Self-Assembly in Confined Micro-Domains

2004 ◽  
Author(s):  
Dong Liu ◽  
Martin Maxey ◽  
George Karniadakis
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Self Assembly ◽  
Three Dimensional ◽  
Circular Cross Section ◽  
Self Assembled ◽  
Paramagnetic Beads ◽  
Exciting Possibility ◽  
The Magnetic Field

We simulate dynamic self-assembly of paramagnetic beads in domains of rectangular, triangular and circular cross-section. We demonstrate that depending on the magnetic field, the number of microparticles, and the shape of microdomain, different self-assembled structures can be produced. This provides an exciting possibility for making reconfigurable multi-functional microdevices, and may also suggest new protocols for fabricating three-dimensional microsystems and nanosystems.

Axialsymmetrische Lösungen der magnetohydrostatischen Gleichung mit Oberflächenströmen II

1958 ◽  
Vol 13 (7) ◽  
pp. 493-498 ◽  
Author(s):  
K. Jörgens
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Circular Cross Section ◽  
Arbitrary Cross Section ◽  
Axially Symmetric ◽  
Equilibrium Configurations ◽  
Circular Case ◽  
Axis Of Symmetry ◽  
Hydrodynamic Equilibrium ◽  
The Magnetic Field

Axially symmetric magneto-hydrodynamic equilibrium configurations are considered where the plasma is contained in a torus of arbitrary cross-section and electric currents flow in the surface of the plasma only. It is shown that the magnetic field is uniquely determined by the values of the total current in azimuthal and in meridional direction respectively and by the gas pressure. A method is given to compute the location of discontinuities of the magnetic field outside of the torus. The singularities are found explicitly in the case of elliptic or circular cross-section. In the circular case only the magnetic field is regular everywhere outside except on the axis of symmetry.

scholarly journals Effect of shaping on turbulent dynamics in reversed-field pinch simulations

2021 ◽  
Vol 87 (6) ◽  
Author(s):  
Robert Chahine ◽  
Kai Schneider ◽  
Wouter J.T. Bos
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Cross Sections ◽  
Circular Cross Section ◽  
Hydrodynamic Pressure ◽  
Magnetic Pressure ◽  
Reversed Field Pinch ◽  
Plasma Dynamics ◽  
Elliptical Cross ◽  
Reversed Field

We study the influence of the shape of the plasma container on the dynamics of the reversed-field pinch (RFP). The geometries we consider are periodic cylinders with elliptical and circular-shaped cross-sections. Numerical simulations of fully nonlinear viscoresistive magnetohydrodynamics are carried out to illustrate how the plasma dynamics is affected by shaping. It is shown that independent of the plasma shape, the quantity $\beta$ , comparing the hydrodynamic pressure to the magnetic pressure, decreases for increasing values of the Lundquist number, but the pressure gradient fluctuations remain roughly constant, when compared to the Lorentz force. Different elliptical shapes of the cross-section of the domain lead to the excitation of different toroidal (or axial) magnetic and dynamic modes. Furthermore, it is found that in a geometry with circular cross-section, a significant local poloidal angular momentum is observed, absent in the geometries with elliptical cross-section. Because the confinement is dominantly determined by plasma movement, and the dynamics of the velocity and magnetic field are modified by the modification of the geometry, shaping can thus affect the performance of RFP devices.

Sign in / Sign up

Export Citation Format

Share Document