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Modelling heat and mass flow through packed pebble beds : a heterogeneous volume-averaged approach

Dissertation (MEng)--University of Pretoria, 2008.

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Other Authors: Malan, A.G.
Format: Thesis
Published: University of Pretoria 2013
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access_status_str Open Access
author2 Malan, A.G.
author_browse Malan, A.G.
author_facet Malan, A.G.
collection Thesis
dc_rights_str_mv © University of Pretoria 2007 E1077/
description Dissertation (MEng)--University of Pretoria, 2008.
format Thesis
id oai:repository.up.ac.za:2263/27623
institution University of Pretoria (South Africa)
last_indexed 2026-06-10T12:38:48.199Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2013
publishDateRange 2013
publishDateSort 2013
publisher University of Pretoria
publisherStr University of Pretoria
record_format dspace
source_str UPSpace — University of Pretoria Institutional Repository
spelling oai:repository.up.ac.za:2263/27623 Modelling heat and mass flow through packed pebble beds : a heterogeneous volume-averaged approach Malan, A.G. Meyer, Josua P. coert.visser@deneldynamics.co.za Visser, Coert Johannes Heat Thermodynamics Viscous floww Porous materials Computational fluid dynamics Transmission Pebble bed reactors UCTD Dissertation (MEng)--University of Pretoria, 2008. This work details modelling buoyancy-driven viscous flow and heat transfer through heterogeneous saturated packed pebble beds via a set of volume-averaged conservation equations in which local thermal disequilibrium is accounted for. The latter refers to the two phases considered viz. solid and fluid, differing in temperature. This is effected by describing each phase with its own governing equation. Further to the aforementioned, the governing equation set is written in terms of intrinsic volume-averaged material properties that are fully variant with respect to temperature. The heterogeneous solid phase is described with a porosity field varying from 0.39 to 0.99. The intent of the stated upper bound is to explicitly model typical packed bed near-wall phenomena such as wall-channelling and pebble-wall heat transfer as true to reality as possible, while maintaining scientific rigour. The set of coupled non-linear partial differential equations is solved via a locally preconditioned artificial compressibility method, where spatial discretisation is effected with a compact finite volume edge-based discretisation method. The latter is done in the interest of accuracy. Stabilisation is effected via JST scalar-valued artificial dissipation. This is the first instance in which an artificial compressibility algorithm is applied to modelling heat and fluid flow through heterogeneous porous materials. As a result of the aforementioned, calculation of the acoustic velocities, stabilisation scaling factors and allowable time-step sizes were revised. The developed technology is demonstrated by application to the modelling of SANA test cases, i.e. natural convective flow inside a heated porous axisymmetric cavity. Predicted results are shown to be within 12% of experimental measurements in all cases, while having an average deviation of only 3%. Mechanical and Aeronautical Engineering unrestricted 2013-09-07T11:52:18Z 2008-09-09 2013-09-07T11:52:18Z 2008-04-18 2008-09-09 2008-08-29 Dissertation a 2007 E1077/gm http://hdl.handle.net/2263/27623 http://upetd.up.ac.za/thesis/available/etd-08292008-125630/ © University of Pretoria 2007 E1077/ application/pdf University of Pretoria
spellingShingle Heat
Thermodynamics
Viscous floww
Porous materials
Computational fluid dynamics
Transmission
Pebble bed reactors
UCTD
Modelling heat and mass flow through packed pebble beds : a heterogeneous volume-averaged approach
title Modelling heat and mass flow through packed pebble beds : a heterogeneous volume-averaged approach
title_full Modelling heat and mass flow through packed pebble beds : a heterogeneous volume-averaged approach
title_fullStr Modelling heat and mass flow through packed pebble beds : a heterogeneous volume-averaged approach
title_full_unstemmed Modelling heat and mass flow through packed pebble beds : a heterogeneous volume-averaged approach
title_short Modelling heat and mass flow through packed pebble beds : a heterogeneous volume-averaged approach
title_sort modelling heat and mass flow through packed pebble beds a heterogeneous volume averaged approach
topic Heat
Thermodynamics
Viscous floww
Porous materials
Computational fluid dynamics
Transmission
Pebble bed reactors
UCTD
url http://hdl.handle.net/2263/27623
http://upetd.up.ac.za/thesis/available/etd-08292008-125630/