Eddy currents induced in a conducting rod of finite length by a coaxial encircling coil

2005 ◽  
Vol 38 (16) ◽  
pp. 2861-2868 ◽  
Author(s):  
John R Bowler ◽  
Theodoros P Theodoulidis
Keyword(s):  
Finite Length ◽  
Eddy Currents ◽  
Rod Of Finite Length

Transient Heat Conduction in a Rod of Finite Length With Variable Thermal Properties

1960 ◽  
Vol 27 (4) ◽  
pp. 617-622 ◽  
Author(s):  
W. H. Chu ◽  
H. N. Abramson
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Finite Length ◽  
Thermophysical Properties ◽  
Numerical Procedure ◽  
Transient Heat Conduction ◽  
Theoretical Solution ◽  
Rod Of Finite Length

This paper presents a theoretical solution for transient heat conduction in a rod of finite length with variable thermal properties. A numerical procedure is developed and the results of one example are presented and compared with the corresponding solution for the case of constant properties. Application to the problem of determination of thermophysical properties is discussed briefly.

scholarly journals Analytical Solutions of Eddy-Current Problems in a Finite Length Cylinder

2018 ◽  
Vol 7 (4) ◽  
pp. 1-11
Author(s):  
Y. Zhilichev
Keyword(s):  
Magnetic Field ◽  
Finite Length ◽  
Eddy Currents ◽  
Separation Of Variables ◽  
Finite Difference Methods ◽  
Radial Coordinate ◽  
Variation Of Parameters ◽  
Scalar Magnetic Potential ◽  
Hollow Cylinders ◽  
Applied Fields

Magnetic field and eddy currents in a cylinder of finite length are calculated by separation of variables. The magnetic field outside the cylinder or inside the bore of the hollow cylinder and shell is expressed in terms of Bessel functions. Both axial and transverse applied fields are considered for the solid and hollow cylinders. The equations for the vector potential components are transformed in one-dimensional equations along the radial coordinate with the consequent integration   by the method of variation of parameters. The equation for the scalar electric potential when required is also integrated analytically. Expressions for the magnetic moment and loss are derived. An alternative analytical solution in terms of scalar magnetic potential is derived for the finite length thin shells. All formulas are validated by the comparison with the solutions by finite–element and finite-difference methods.

scholarly journals The electric or magnetic polarisation of a thin cylinder of finite length by a uniform field of force

1907 ◽  
Vol 79 (527) ◽  
pp. 31-42
Keyword(s):  
Finite Length ◽  
General Problem ◽  
Normal Component ◽  
Uniform Field ◽  
Electric Force ◽  
Central Section ◽  
Thin Cylinder ◽  
Method Of Solution ◽  
The Mean ◽  
Rod Of Finite Length

The problem to be considered is the calculation of the polarisation induced in a cylindrical rod of finite length by a uniform field of force parallel to its axis. The only formula previously given appears to be that of Green for the normal component of the polarity at the surface of the rod. In the following investigation the method of solution of the general problem of induction by series is used, and expressions are given in §§ 4 and 5 for the mean moment of the rod and the induction across the central section. It is assumed that the susceptibility of the rod is independent of the applied force; consequently the formulæ apply especially to a dielectric rod suspended in a uniform field of electric force, this being, in fact, the purpose for which the calculations were made.

scholarly journals On solution of initial-boundary problem, connected with longitudinal impact of elastic-viscous rod

1987 ◽  
pp. 112
Author(s):  
S.S. Kritskaia ◽  
D.I. Rogach
Keyword(s):  
Linear Equation ◽  
Boundary Problem ◽  
Finite Length ◽  
Fourier Method ◽  
Initial Boundary ◽  
Longitudinal Impact ◽  
Initial Boundary Problem ◽  
Rod Of Finite Length

We conduct the solution, by Fourier method, of the problem about longitudinal oscillations caused by impact to one end of elastic-viscous rod of finite length with variable lateral section in the case when the condition of fixation of another end of the rod is represented by linear equation in displacement and deformation.

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