KFU. Card publication. Optimal shape of an anthill dome: Bejan's principle revisited

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FEDERAL UNIVERSITY

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OPTIMAL SHAPE OF AN ANTHILL DOME: BEJAN'S PRINCIPLE REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2013

Язык

русский

Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Kasimova R.G., Obnosov Yu.V., Baksht F.B., Kacimov A.R. Optimal shape of an anthill dome: Bejan's principle revisited. Ecological Modelling (Elsevier),250(2013),384-390:dx.doi.org/10.1016/j.ecolmodel.2012.11.021

Annotation

An anthill is modeled as a paraboloid of revolution, whose surface (dome) dissipates heat from the interior of the nest to the ambient air according to the Robin boundary condition, which involves a constant coefficient, given temperature jump and dome's area. The total heat loss of the net is one (integral) component of ants' colony expenditures of energy. Ants, populating the paraboloid, spend also energy individually, by hoisting the load from the ground surface to a certain elevation within the paraboloid and by overcoming a Coulombian resistance, proportional to the trajectory length. In order to count the gross colony expenditures for these mechanical activities all trajectories are integrated over the volume. Ants are assumed to move along the shortest straight lines of their regular sorties between the nest and forest. The three-component energy is mathematically expressed as a closed-form function of only one variable, the paraboloid height-to-width ratio. The minimum of th

Keywords

mathematical modeling, constructal design, social insects, ant nest, heat transfer, global minimum

The name of the journal

ECOL MODEL

URL

http://dx.doi.org/10.1016/j.ecolmodel.2012.11.021

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

https://repository.kpfu.ru/eng/?p_id=49368&p_lang=2

Resource files

File name	Size (MB)	Format
EcMod,2013.pdf	0,32	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2013-01-01T00:00:00Z	ru_RU
dc.date.available	2013-01-01T00:00:00Z	ru_RU
dc.date.issued	2013	ru_RU
dc.identifier.citation	Kasimova R.G., Obnosov Yu.V., Baksht F.B., Kacimov A.R. Optimal shape of an anthill dome: Bejan's principle revisited. Ecological Modelling (Elsevier),250(2013),384-390:dx.doi.org/10.1016/j.ecolmodel.2012.11.021	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=49368&p_lang=2	ru_RU
dc.description.abstract	ECOL MODEL	ru_RU
dc.description.abstract	An anthill is modeled as a paraboloid of revolution, whose surface (dome) dissipates heat from the interior of the nest to the ambient air according to the Robin boundary condition, which involves a constant coefficient, given temperature jump and dome's area. The total heat loss of the net is one (integral) component of ants' colony expenditures of energy. Ants, populating the paraboloid, spend also energy individually, by hoisting the load from the ground surface to a certain elevation within the paraboloid and by overcoming a Coulombian resistance, proportional to the trajectory length. In order to count the gross colony expenditures for these mechanical activities all trajectories are integrated over the volume. Ants are assumed to move along the shortest straight lines of their regular sorties between the nest and forest. The three-component energy is mathematically expressed as a closed-form function of only one variable, the paraboloid height-to-width ratio. The minimum of th	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	mathematical modeling	ru_RU
dc.subject	constructal design	ru_RU
dc.subject	social insects	ru_RU
dc.subject	ant nest	ru_RU
dc.subject	heat transfer	ru_RU
dc.subject	global minimum	ru_RU
dc.title	Optimal shape of an anthill dome: Bejan's principle revisited	ru_RU
dc.type	Articles in international journals and collections	ru_RU