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Double conductor line above a two-layered cylinder with varying properties

Published online by Cambridge University Press:  17 February 2009

A. A. Kolyshkin  and
Rémi Vaillancourt
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Abstract

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The change of impedance per unit length in a single or double conductor line situated parallel to an infinitely long two-layered metallic circular cylinder is found (within the quasistatic approximation) in the form of an infinite series. The cylinder consists of an inner core and an outer annulus. The properties of the inner core are assumed to be constant. The relative magnetic permeability, μ(r) = rα and the conductivity, σ(r) = σ(0)rκ, of the outer annulus vary with respect to the radial coordinate, r, and α and κ are arbitrary real numbers. Numerical results are presented in the form of figures and tables.

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 1 , July 1996 , pp. 1 - 15
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Benklevskaya, N. P., Scherbinin, V. E., Burtsev, G. A. and Stepin, Yu. V., “Operation on ferromagnetic probe transducers in a strongly nonuniform magnetic field”, Soviet J. of Nondestructive Testing 24(5) (1988) 333–337.Google Scholar
[2]Dyakin, V. V. and Sandovsky, V. A., “Theory and computations of superposed transducers” (Nauka, Moscow, 1981) (In Russian).Google Scholar
[3]Jahnke, E. and Emde, F., Tables of Functions with Formulae and Curves (Dover, New York, 1945) 146.Google Scholar
[4]Kasimov, G. A. and Kulaev, Yu. V., “An applied electromagnetic transducer above the object of inspection with the electrical and magnetic properties of the material changing with depth”, Soviet J. of Nondestructive Testing 14 (1978) 550–552.Google Scholar
[5]Kolyshkin, A. A., Smolyakov, A. P., and Vaillancourt, R., “Analytical solution in eddy-current testing of double-layer media with depth-varying magnetic properties”, IEEE Trans. on Magnetics 27 (1991) 4360–4365.CrossRefGoogle Scholar
[6]Kolyshkin, A. A. and Vaillancourt, R., “Analytical solution to eddy current testing of cylindrical problems with varying properties”, Canad. Appl. Math. Quart. 2 (Summer 1994) 349–360.Google Scholar
[7]Smythe, W. R., Static and Dynamic Electricity, 3rd ed. (Hemisphere, New York, 1989) 368.Google Scholar
[8]Tegopoulos, J. A. and Kriezis, E. E., Eddy currents in linear conducting media, Studies in Electrical and Electronic Engineering, vol. 16, (Elsevier, Amsterdam, 1985).Google Scholar
[9]Uzal, E., Moulder, J. C., Mitra, S., and Rose, J. H., “Impedance of coils over layered metals with continuously variable conductivity and permeability: Theory and experiment”, J. Appl. Phys. 74 (1993) 2076–2089.Google Scholar
[10]Vlasov, V. V. and Komarov, V. A., “Interaction of the magnetic field of a long single-turn loop with a conducting ferromagnetic cylinder”, Soviet J. of Nondestructive Testing 8 (1972) 433–440.Google Scholar
[11]Zatsepin, N. N. and Tatamikov, V. M., “Theory of a superposed transducer”, Soviet J. of Nondestructive Testing 18 (1982) 81–87.Google Scholar