scholarly journals A–ϕ formulation of a mathematical model for the induction hardening process with a nonlinear law for the magnetic field

2017 ◽  
Vol 321 ◽  
pp. 294-315 ◽  
Author(s):  
Jaroslav Chovan ◽  
Christophe Geuzaine ◽  
Marián Slodička
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Induction Hardening ◽  
Hardening Process ◽  
The Magnetic Field

The Function of Magnetic Field in a Magnetic-Electrochemical Compound Polishing

2010 ◽  
Vol 97-101 ◽  
pp. 4141-4145 ◽  
Author(s):  
Li Min Shi ◽  
Er Liang Liu ◽  
Yong Jiang Niu ◽  
Yu Quan Chen
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Concentration Polarization ◽  
Electrochemical Reaction ◽  
Charged Particles ◽  
Polishing Process ◽  
Electrical Field ◽  
Movement Model ◽  
The Mathematical Model ◽  
The Magnetic Field

Traditionally, the magnetic field is always vertical to the electrical field in a magnetic-electrochemical compound polishing.The magnetic field is set to parallel the electrical field in this paper. The mathematical model of the charged particles movement in a magnetic field is established through the analysis of its movement process when using Coulomb laws and Lorentz force. Through constructing the velocity formulation and loci formulation, the function of the magnetic field is proved. Because of the magnetic field, the concentration polarization of electrochemical reaction can be reduced more and the electrochemical reaction can be accelerated easily than the traditional polishing in which the magnetic field is vertical to the electrical field. Finally, to verify the model, the magnetic-electrochemical compound polishing process has been tested and the results, compared with those obtained from the model, have shown the movement model is reasonable and the analysis to function of magnetic field is correct.

NUMERICAL MODELING OF INDUCTION HEATING FOR TWO-DIMENSIONAL GEOMETRIES

1993 ◽  
Vol 03 (06) ◽  
pp. 805-822 ◽  
Author(s):  
S. CLAIN ◽  
J. RAPPAZ ◽  
M. SWIERKOSZ ◽  
R. TOUZANI
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Numerical Method ◽  
Induction Heating ◽  
Two Dimensional ◽  
Time Periodicity ◽  
Model Equations ◽  
Thermal Phenomena ◽  
The Magnetic Field ◽  
Different Time Scales

We present both a mathematical model and a numerical method for simulating induction heating processes. The geometry of the conductors is cylindrical and the magnetic field is assumed to be parallel to the invariance axis. The model equations have current tension as prescribed data rather than current intensity. In particular, the formulation of the electromagnetic problem uses the magnetic field as the unknown function. The numerical method takes into account the time periodicity of the prescribed tension and deals with the two different time scales of electromagnetic and thermal phenomena.

scholarly journals Separation of Ho3+ in Static Magnetic Field

2016 ◽  
Vol 61 (4) ◽  
pp. 1919-1924 ◽  
Author(s):  
K. Kołczyk ◽  
M. Wojnicki ◽  
D. Kutyła ◽  
R. Kowalik ◽  
P. Żabiński ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Field Gradient ◽  
Rare Earths ◽  
Magnetic Field Gradient ◽  
Critical Metals ◽  
Initial Concentration ◽  
Experimental Part ◽  
The Mathematical Model ◽  
The Magnetic Field

Abstract The rare earths elements (REE) belong to the group of critical metals and they are achieving more and more interest due to their special properties. However, there occur some problems connected with their production. The most difficult phase is separation of REE. It includes a necessity to intensify currently applied processes and looking for new solutions. The present work introduces an idea to use differences in physical properties of the REE ions to get them separated. In the experimental part of the work some efforts were undertaken to analyse results presenting changes of holmium ions concentration under an influence of the magnetic field gradient. There was determined the gradient of magnetic field and concentration of Ho3+ ions depending on initial concentration of the solution and time. A simulation of changing the concentration of holmium ions in the solution under an influence of the magnetic field gradient was performed to compare the mathematical model with the obtained results.

Modeling of magnetic fields of scattering of transformer windings on a round rod for relay protection

2020 ◽  
pp. 12-15
Author(s):  
A.N. Novozhilov ◽  
T.A. Novozhilov ◽  
E.M Volgina ◽  
E.N. Kolesnikov ◽  
D.M Rahimberdinova
Keyword(s):  
Magnetic Field ◽  
Experimental Data ◽  
Mathematical Model ◽  
Magnetic Fields ◽  
Relay Protection ◽  
Sufficient Accuracy ◽  
The Magnetic Field

A mathematical model is developed that allows with sufficient accuracy to simulate the magnetic field scattering of the coil and the current windings located on a round ferromagnetic rod. Correctness of the calculation is verified by experimental data. Keywords winding, transformer, relay protection, magnetic field, scattering, modeling. [email protected]

scholarly journals MATHEMATICAL MODELING OF DYNAMIC REGIMES OF GRAINED DRYER WITH INDUCTION SUBSET OF ENERGY

2019 ◽  
pp. 64-70
Author(s):  
Boris Kotov ◽  
Victor Shvidya ◽  
Yuriy Pantsir ◽  
Igor Gerasimchuk
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Mathematical Model ◽  
Material Balance ◽  
Convective Heat Exchange ◽  
Stationary Regime ◽  
Drying Process ◽  
Distributed Parameters ◽  
Fuel Elements ◽  
The Magnetic Field

Based on the analysis of the thermal and material balance and simplified concepts of the drying process of grain material during conductive-convective heat exchange of material with fuel elements (HEE), which are heated in the magnetic field of a cylindrical inductor, a mathematical model of the non-stationary regime of the drying process with distributed parameters is formed. The obtained analytical dependences determining the distribution of parameters along the coordinate with the use of which a dynamic model of the drying process is formed.

A mathematical model of the identification of the magnetic field of a flowmeter

2006 ◽  
Vol 49 (10) ◽  
pp. 1037-1042
Author(s):  
B. A. Artem’ev ◽  
A. A. Gnedov ◽  
V. Ya. Lavrov
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
The Magnetic Field

Observing the galactic magnetic field

1967 ◽  
Vol 31 ◽  
pp. 375-380
Author(s):  
H. C. van de Hulst
Keyword(s):  
Magnetic Field ◽  
Fair Agreement ◽  
Solar Neighbourhood ◽  
Galactic Magnetic Field ◽  
The Magnetic Field

Various methods of observing the galactic magnetic field are reviewed, and their results summarized. There is fair agreement about the direction of the magnetic field in the solar neighbourhood:l= 50° to 80°; the strength of the field in the disk is of the order of 10-5gauss.

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