Geodesic
Compressible flow through solar chimneys with variable cross section - an exact solution
Theoretical and applied mechanics, Tome 44 (2017) no. 2.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Buoyancy driven, adiabatic and compressible flow in relatively high solar chimneys is treated in the paper analytically by using one-dimen\-sional 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 
@article{TAM_2017_44_2_a7,
     author = {Vladan D. Djordjevi\'c and Aleksandar S. \'Co\'ci\'c},
     title = {Compressible flow through solar chimneys with variable cross section - an exact solution},
     journal = {Theoretical and applied mechanics},
     pages = {215 - 228},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/TAM_2017_44_2_a7/}
}
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Vladan D. Djordjević; Aleksandar S. Ćoćić. Compressible flow through solar chimneys with variable cross section - an exact solution. Theoretical and applied mechanics, Tome 44 (2017) no. 2. http://geodesic.mathdoc.fr/item/TAM_2017_44_2_a7/