KFU. Card publication. Topology of Heat Conduction in a Solid Slab Subject to a Non-uniform Boundary Condition: the Carslaw-Jaeger Solution Revisited

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TOPOLOGY OF HEAT CONDUCTION IN A SOLID SLAB SUBJECT TO A NON-UNIFORM BOUNDARY CONDITION: THE CARSLAW-JAEGER SOLUTION REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2012

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Kasimova R.G., Obnosov Yu.V. Topology of Heat Conduction in a Solid Slab Subject to a Non-uniform Boundary Condition: the Carslaw-Jaeger Solution Revisited. Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM J), 53(04), 2012, 308 � 320. DOI: 10.1017/S1446181112000260

Annotation

Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM J),

Keywords

2-D heat conduction, Laplace?s equation, heat lines-isotherms, complex potential, conformal mapping

The name of the journal

Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM J),

URL

http://DOI: 10.1017/S1446181112000260

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

https://repository.kpfu.ru/eng/?p_id=62228&p_lang=2

Resource files

File name	Size (MB)	Format
ANZIAM.J2013.pdf	0,09	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2012-01-01T00:00:00Z	ru_RU
dc.date.available	2012-01-01T00:00:00Z	ru_RU
dc.date.issued	2012	ru_RU
dc.identifier.citation	Kasimova R.G., Obnosov Yu.V. Topology of Heat Conduction in a Solid Slab Subject to a Non-uniform Boundary Condition: the Carslaw-Jaeger Solution Revisited. Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM J), 53(04), 2012, 308 � 320. DOI: 10.1017/S1446181112000260	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=62228&p_lang=2	ru_RU
dc.description.abstract	Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM J),	ru_RU
dc.description.abstract	Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM J),	ru_RU
dc.description.abstract	Temperature distributions recorded by thermocouples in a solid body (slab) subject to surface heating are used in a mathematical model of 2-D heat conduction. The corresponding Dirichlet problem for a holomorphic function (complex potential), involving temperature and heat stream function, is solved in a strip. The Zhukovskii function is reconstructed through singular integrals, involving an auxiliary complex variable. The complex potential is mapped onto an auxiliary half-plane. The flow net (orthogonal isotherms and heat lines) of heat conduction is compared with the known Carslaw-Jaeger solution and shows a puzzling topology of three regimes of energy fluxes for temperature-boundary conditions common in passive thermal insulation. The simplest regime is realized if cooling of a shaded zone is mild and heat flows in a slightly distorted ?resistor-model? flow tube. The second regime emerges when cooling is stronger and two disconnected separatrices demarcate the back-flow of heat fro	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	2-D heat conduction	ru_RU
dc.subject	Laplace?s equation	ru_RU
dc.subject	heat lines-isotherms	ru_RU
dc.subject	complex potential	ru_RU
dc.subject	conformal mapping	ru_RU
dc.title	Topology of Heat Conduction in a Solid Slab Subject to a Non-uniform Boundary Condition: the Carslaw-Jaeger Solution Revisited	ru_RU
dc.type	Articles in international journals and collections	ru_RU