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A finite volume method for the analysis of the thermo-flow field of a solar chimney collector

Thesis (MEng)--University of Stellenbosch, 2000.

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Main Author: Beyers, Johannes Henricus Meiring
Other Authors: Harms, T. M.
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2012
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access_status_str Open Access
author Beyers, Johannes Henricus Meiring
author2 Harms, T. M.
author_browse Beyers, Johannes Henricus Meiring
Harms, T. M.
author_facet Harms, T. M.
Beyers, Johannes Henricus Meiring
author_sort Beyers, Johannes Henricus Meiring
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MEng)--University of Stellenbosch, 2000.
format Thesis
id oai:scholar.sun.ac.za:10019.1/51568
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:47:09.638Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2012
publishDateRange 2012
publishDateSort 2012
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/51568 A finite volume method for the analysis of the thermo-flow field of a solar chimney collector Beyers, Johannes Henricus Meiring Harms, T. M. Kroger, D. G. Stellenbosch University. Faculty of Engineering. Dept. of Mechanical and Mechatronic Engineering. Fluid dynamics -- Mathematics Turbulence -- Mathematics Solar collectors Numerical method Finite volume Non-orthogonal Turbulence model SIP (Semi implicit procedure) Dissertations -- Mechanical engineering Theses -- Mechanical engineering Thesis (MEng)--University of Stellenbosch, 2000. ENGLISH ABSTRACT: This study investigates the implementation of the finite volume numerical method applicable to non-orthogonal control volumes and the application of the method to calculate the thermo-flow field within the collector area of a solar chimney power generating plant. The discretisation of the governing equations for the transient, Newtonian, incompressible and turbulent fluid flow, including heat transfer, is presented for a non-orthogonal coordinate frame. The standard k - E turbulence model, modified to include rough surfaces, is included and evaluated in the method. An implicit solution procedure (SIP-semi implicit procedure) as an alternative to a direct solution procedure for the calculation of the flow field on nonstaggered grids is investigated, presented and evaluated in this study. The Rhie and Chow interpolation practice was employed with the pressurecorrection equation to eliminate the presence of pressure oscillations on nonstaggered grids. The computer code for the solution of the three-dimensional thermo-flow fields is developed in FORTRAN 77. The code is evaluated against simple test cases for which analytical and experimental results exist. It is also applied to the analysis of the thermo-flow field of the air flow through a radial solar collector. KEYWORDS: NUMERICAL METHOD, FINITE VOLUME, NON-ORTHOGONAL, k+-e TURBULENCE MODEL, SIP AFRIKAANSE OPSOMMING: Die studie ondersoek die implementering van 'n eindige volume numeriese metode van toepassing op nie-ortogonale kontrole volumes asook die toepassing van die metode om die termo-vloei veld binne die kollekteerder area van 'n sonskoorsteen krag aanleg te bereken. Die diskretisering van die behoudsvergelykings vir die tyd-afhanlike, Newtonse, onsamedrukbare en turbulente vloei, insluitende hitteoordrag, word beskryf vir 'n nie-ortogonale koordinaatstelsel. Die standaard k - E turbulensiemodel, aangepas om growwe oppervlakrandvoorwaardes te hanteer, is ingesluit en geevalueer in die studie. 'n Implisiete oplossings metode (SIP-semi implisiete prosedure) as alternatief vir 'n direkte oplossingsmetode is ondersoek en geimplimenteer vir die berekening van die vloeiveld met nie-verspringde roosters. 'n Rhie en Chow interpolasie metode is gebruik tesame met die drukkorreksie-vergelyking ten einde ossilasies in die drukveld in die nie-verspringde roosters te vermy. Die rekenaarkode vir die oplossing van die drie dimensionele termo-vloeiveld is ontwikkel in FORTRAN 77. Die kode is geevalueer teen eenvoudige toetsprobleme waarvoor analitiese en eksperimentele resultate bestaan. Die kode IS ook gebruik om die termo-vloeiveld binne 'n radiale son kollekteerder te analiseer. SLEUTELWOORDE: NUMERIESE METODE, EINDIGE VOLUME, NIE-ORTOGONAAL, k - E TURBULENSIE MODEL, SIP 2012-08-27T11:34:34Z 2012-08-27T11:34:34Z 2000-12 Thesis http://hdl.handle.net/10019.1/51568 en_ZA Stellenbosch University 1 v. (various pagings) : ill. application/pdf Stellenbosch : Stellenbosch University
spellingShingle Fluid dynamics -- Mathematics
Turbulence -- Mathematics
Solar collectors
Numerical method
Finite volume
Non-orthogonal
Turbulence model
SIP (Semi implicit procedure)
Dissertations -- Mechanical engineering
Theses -- Mechanical engineering
Beyers, Johannes Henricus Meiring
A finite volume method for the analysis of the thermo-flow field of a solar chimney collector
title A finite volume method for the analysis of the thermo-flow field of a solar chimney collector
title_full A finite volume method for the analysis of the thermo-flow field of a solar chimney collector
title_fullStr A finite volume method for the analysis of the thermo-flow field of a solar chimney collector
title_full_unstemmed A finite volume method for the analysis of the thermo-flow field of a solar chimney collector
title_short A finite volume method for the analysis of the thermo-flow field of a solar chimney collector
title_sort finite volume method for the analysis of the thermo flow field of a solar chimney collector
topic Fluid dynamics -- Mathematics
Turbulence -- Mathematics
Solar collectors
Numerical method
Finite volume
Non-orthogonal
Turbulence model
SIP (Semi implicit procedure)
Dissertations -- Mechanical engineering
Theses -- Mechanical engineering
url http://hdl.handle.net/10019.1/51568
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