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Optimal shape of an anthill dome: Bejan's constructal law revisited

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dc.contributor.author Kasimova R.
dc.contributor.author Obnosov Y.
dc.contributor.author Baksht F.
dc.contributor.author Kacimov A.
dc.date.accessioned 2018-09-18T20:08:28Z
dc.date.available 2018-09-18T20:08:28Z
dc.date.issued 2013
dc.identifier.issn 0304-3800
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/136910
dc.description.abstract An anthill is modelled 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 this function is found by a routine of computer algebra. The proposed model amalgamates into a single and relatively simple function, tractable by standard calculus, the property of the whole structure (dome area) with labouring of insects-comrades. The ants are sociobiologically analogized with Bejan's builders of ancient pyramids and contemporary designers of man-made "dream-houses" or "dream-prisons". © 2012 Elsevier B.V.
dc.relation.ispartofseries Ecological Modelling
dc.subject Ant nest
dc.subject Constructal design
dc.subject Global minimum
dc.subject Heat transfer
dc.subject Mathematical modelling
dc.subject Social insects
dc.title Optimal shape of an anthill dome: Bejan's constructal law revisited
dc.type Article
dc.relation.ispartofseries-volume 250
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 384
dc.source.id SCOPUS03043800-2013-250-SID84872384100


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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