On disturbances in a viscoelastic rod (of variable cross-section) of Reiss type placed in a magnetic field

1972 ◽  
Vol 97 (1) ◽  
pp. 32-36
Author(s):  
C. R. Sen Gupta
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Viscoelastic Rod

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.

scholarly journals SPECIAL FEATURES OF MAGNETIC PULSE HARDENING PROCESSING OF STEEL CYLINDRICAL PRODUCTS OF VARIABLE CROSS-SECTION

2017 ◽  
pp. 88-96
Author(s):  
A. V. Alifanov ◽  
D. A. Tsionenko ◽  
A. M. Miliukova ◽  
A. I. Harchanin ◽  
V. V. Maleronak
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Variable Cross Section ◽  
Minimal Distance ◽  
Magnetic Pulse ◽  
Variable Cross ◽  
Pulse Hardening ◽  
Product Profile ◽  
Cylindrical Steel ◽  
The Magnetic Field

The calculations of the magnetic field induction and the magnetic field intensity were carried out by the Finite Element Method (FEM) with the use of the software FEMM. The cylindrical inductor of the Magnetic-Pulse Installation (MPI) generates the magnetic field near the surface of the cylindrical steel product as of the uniform as well as variable cross section. It is shown that the regions of the products of the complex cross-section located at the minimal distance to the helix inductor are exposed to highest level of hardening. It is necessary to increase the current pulse in the inductor or to use a split inductor with the variable inner diameter repeating the product profile for hardening of the product regions located at large distances from inductor. The side surfaces of protrusions that are perpendicular to the axis of the system are not exposed to hardening due to the low gradient of the energy density of magnetic field near its surface. In the case of close proximity of the protrusions (for distance less than 1 cm), the material on the product surface in the space between protrusions is not exposedto sufficient hardening.

scholarly journals Limits of Riemann solutions for isentropic MHD in a variable cross-section duct as magnetic field vanishes

2021 ◽  
Author(s):  
Wancheng Sheng ◽  
Tao Xiao
Keyword(s):  
Magnetic Field ◽  
Riemann Problem ◽  
Cross Section ◽  
Variable Cross Section ◽  
Field Method ◽  
Variable Cross ◽  
Riemann Solutions ◽  
Stable Solutions ◽  
The Stability ◽  
Limit Solutions

The stability for magnetic field to the solution of the Riemann problem for the polytropic fluid in a variable cross-section duct is discussed. By the vanishing magnetic field method, the stable solutions are determined by comparing the limit solutions with the solutions of the Riemann problem for the polytropic fluid in a duct obtained by the entropy rate admissibility criterion.

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