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Theoretical and Applied Mechanics, 2017, Volume 44, Issue 2, Pages 215–228
DOI: https://doi.org/10.2298/TAM170815014D
(Mi tam30)
 

Compressible flow through solar chimneys with variable cross section — an exact solution

Vladan D. Djordjevića, Aleksandar S. Ćoćićb

a Serbian Academy of Sciences and Arts, Belgrade, Serbia
b University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia
References:
Abstract: Buoyancy driven, adiabatic and compressible flow in relatively high solar chimneys is treated in the paper analytically by using one-dimensional model of flow. General equations written suitably in a non-dimensional form are used for a qualitative discussion pertaining to the mutual effects of gravity, viscosity and varying cross section of the chimney. It is shown that in case of low Mach number flow these equations possess exact solutions obtainable by ordinary mathematical methods for any given chimney shape. Also shown, and demonstrated on an example, is the procedure of evaluation of the chimney shape that satisfies a condition imposed beforehand upon the flow. For better insight into the role of various parameters the solutions are presented in the form of power series expansions.
Keywords: compressible flow, solar chimney analytical solution.
Received: 15.08.2017
Bibliographic databases:
Document Type: Article
MSC: 76N15
Language: English
Citation: Vladan D. Djordjević, Aleksandar S. Ćoćić, “Compressible flow through solar chimneys with variable cross section — an exact solution”, Theor. Appl. Mech., 44:2 (2017), 215–228
Citation in format AMSBIB
\Bibitem{DjoOci17}
\by Vladan~D.~Djordjevi\'c, Aleksandar~S.~\'Co{\'c}i{\'c}
\paper Compressible flow through solar chimneys with variable cross section~--- an exact solution
\jour Theor. Appl. Mech.
\yr 2017
\vol 44
\issue 2
\pages 215--228
\mathnet{http://mi.mathnet.ru/tam30}
\crossref{https://doi.org/10.2298/TAM170815014D}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000423915600007}
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  • https://www.mathnet.ru/eng/tam/v44/i2/p215
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    Theoretical and Applied Mechanics
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