Vladan Djordjevic; Aleksandar Ćoćić · 10.2298/tam170815014d https://doi.org/10.2298/tam170815014d
Theoretical and Applied Mechanics
Compressible flow through solar chimneys with variable cross section – an exact solution Vladan Djordjevic; Aleksandar Cocic 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.
Solar chimney power plant
2017
Theoretical and Applied Mechanics
yes
2017-01-01 12:00:00 00003079
compressible flow through solar chimneys with variable cross section – an exact solution
2017
Theoretical and Applied Mechanics
Vladan Djordjevic; Aleksandar Ćoćić
10.2298/tam170815014d
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.
Abstract by the authors, reproduced under the CC BY-NC-ND 4.0 licence. Original publication via the link below.
Open source
PDF (open access)