ELECTRICAL RESISTANCE OF NON-HOMOGENEOUS CONICAL BODY

The aim of this paper is to determine the electric resistance of a hollow conical conductor body for the steady-state current flow. The studied steady-state conduction problem is axisymmetric. The material of the conductor body is isotropic and non-homogeneous. The conductivity is a smooth function...

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Bibliographic Details
Published in:Annals of Faculty Engineering Hunedoara 2022-11, Vol.20 (4), p.35-40
Main Authors: Ecsedi, István, Lengyel, Ákos József, Baksa, Attila
Format: Article
Language:English
Subjects:
Boundary element method
Conductors
Conical bodies
Electric currents
Electrical resistance
Engineering
Equilibrium flow
Exact solutions
Finite difference method
Finite element method
Functionally gradient materials
Homogeneity
Numerical methods
Spherical coordinates
Steady state
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Summary:The aim of this paper is to determine the electric resistance of a hollow conical conductor body for the steady-state current flow. The studied steady-state conduction problem is axisymmetric. The material of the conductor body is isotropic and non-homogeneous. The conductivity is a smooth function of the polar angle of a spherical coordinate system. The materials, whose properties are smooth functions of the space coordinates, are called functionally graded materials. An analytical solution which is based on the governing equations of steady-state problems of electricity is presented. The effect of the non-homogeneity to the electric resistance is analyzed. Two types of non-homogeneities are considered. The numerical results of the paper can be used as benchmark solutions for the usual numerical methods, such as finite element method finite difference method, boundary element method, etc.
ISSN:1584-2665
2601-2332