KFU. Card publication. Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities

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THREE-PHASE ECCENTRIC ANNULUS SUBJECTED TO A POTENTIAL FIELD INDUCED BY ARBITRARY SINGULARITIES

Form of presentation

Articles in international journals and collections

Year of publication

2011

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Obnosov Yu.V. Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities. Quart. Appl. Math. 69 (2011), pp. 771-786. s0033-569x(2011)01242-8

Annotation

An infinite planar, three-component heterogeneous medium with a pair of circles as interfaces between homogeneous zones forming an eccentric annulus is considered for refraction of a potential field on the two interfaces. The velocity field is generated by an arbitrary system of singularities of arbitrary order, in congruity with the Milne-Thomson case of a two-component medium and a single circular interface. An exact analytical solution of the corresponding ${\mathbb R}$-linear conjugation problem of two Laplacian fields in the eccentrical annulus structure is derived in the class of piece-wise meromorphic functions with its fixed principal part. Three general cases of loci of the singularities with respect to the interfaces are investigated. Flow nets (isobars and streamlines) are presented.

Keywords

refraction, heterogeneous media, R-linear conjugation problem, analytic functions

The name of the journal

Q APPL MATH

URL

http://www.ams.org/journals/qam/2011-69-04/S0033-569X-2011-01242-8/home.html

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=28656&p_lang=2

Resource files

File name	Size (MB)	Format
QAM2011.pdf	0,20	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2011-01-01T00:00:00Z	ru_RU
dc.date.available	2011-01-01T00:00:00Z	ru_RU
dc.date.issued	2011	ru_RU
dc.identifier.citation	Obnosov Yu.V. Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities. Quart. Appl. Math. 69 (2011), pp. 771-786. s0033-569x(2011)01242-8	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=28656&p_lang=2	ru_RU
dc.description.abstract	Q APPL MATH	ru_RU
dc.description.abstract	An infinite planar, three-component heterogeneous medium with a pair of circles as interfaces between homogeneous zones forming an eccentric annulus is considered for refraction of a potential field on the two interfaces. The velocity field is generated by an arbitrary system of singularities of arbitrary order, in congruity with the Milne-Thomson case of a two-component medium and a single circular interface. An exact analytical solution of the corresponding ${\mathbb R}$-linear conjugation problem of two Laplacian fields in the eccentrical annulus structure is derived in the class of piece-wise meromorphic functions with its fixed principal part. Three general cases of loci of the singularities with respect to the interfaces are investigated. Flow nets (isobars and streamlines) are presented.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	refraction	ru_RU
dc.subject	heterogeneous media	ru_RU
dc.subject	R-linear conjugation problem	ru_RU
dc.subject	analytic functions	ru_RU
dc.title	Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities	ru_RU
dc.type	Articles in international journals and collections	ru_RU