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Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model

This dissertation deals with the simulation of dispersed multiphase flow. The particle-particle and particle-fluid interactions in this class of flows play an important role on the hydrodynamics and fluid transport phenomena that govern the overall flow behaviour. Accurate computational modelling of...

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Main Author: Musehane, Ndivhuwo M
Other Authors: Reddy, B Daya
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2017
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access_status_str Open Access
author Musehane, Ndivhuwo M
author2 Reddy, B Daya
author_browse Musehane, Ndivhuwo M
Reddy, B Daya
author_facet Reddy, B Daya
Musehane, Ndivhuwo M
author_sort Musehane, Ndivhuwo M
collection Thesis
description This dissertation deals with the simulation of dispersed multiphase flow. The particle-particle and particle-fluid interactions in this class of flows play an important role on the hydrodynamics and fluid transport phenomena that govern the overall flow behaviour. Accurate computational modelling of the particle-particle and particle- fluid interactions is thus required to correctly model the flow. The aim of this study is to use a Direct Numerical Simulation approach based on a smoothed Volume Of Fluid method to model particle-particle interactions in a dispersed multiphase flow at a fundamental level, and employing a surface thin film model, to drastically reduce the computational effort required. A multiscale modelling approach is followed with the smoothed Volume Of Fluid simulation on the particle scale and the surface thin film model simulation on the thin- film scale. The resulting governing equations are the Navier-Stokes equations for an incompressible viscous multiphase Newtonian fluid undergoing laminar and isothermal three-dimensional flow, the interface advection equation and the reduced order surface thin film equation. The model equations are discretized using the Finite Volume Method and implemented into the open source software OpenFOAM®. The numerical solution is obtained by solving the resulting non-linear system of equations implicitly on a structured computational grid on parallel processors using a pressure correction algorithm to converge the pressure at each time step. The study is restricted to gas-liquid systems where particles could either be bubbles or droplets; rigid particles are not considered. The model is tested against experimental results from binary collision of hydrocarbon droplets. Good qualitative numerical results are obtained at a practical computational cost.
format Thesis
id oai:open.uct.ac.za:11427/22963
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:32:17.361Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2017
publishDateRange 2017
publishDateSort 2017
publisher Department of Mathematics and Applied Mathematics
publisherStr Department of Mathematics and Applied Mathematics
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/22963 Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model Musehane, Ndivhuwo M Reddy, B Daya Oxtoby, Oliver Francis Mathematics and Applied Mathematics This dissertation deals with the simulation of dispersed multiphase flow. The particle-particle and particle-fluid interactions in this class of flows play an important role on the hydrodynamics and fluid transport phenomena that govern the overall flow behaviour. Accurate computational modelling of the particle-particle and particle- fluid interactions is thus required to correctly model the flow. The aim of this study is to use a Direct Numerical Simulation approach based on a smoothed Volume Of Fluid method to model particle-particle interactions in a dispersed multiphase flow at a fundamental level, and employing a surface thin film model, to drastically reduce the computational effort required. A multiscale modelling approach is followed with the smoothed Volume Of Fluid simulation on the particle scale and the surface thin film model simulation on the thin- film scale. The resulting governing equations are the Navier-Stokes equations for an incompressible viscous multiphase Newtonian fluid undergoing laminar and isothermal three-dimensional flow, the interface advection equation and the reduced order surface thin film equation. The model equations are discretized using the Finite Volume Method and implemented into the open source software OpenFOAM®. The numerical solution is obtained by solving the resulting non-linear system of equations implicitly on a structured computational grid on parallel processors using a pressure correction algorithm to converge the pressure at each time step. The study is restricted to gas-liquid systems where particles could either be bubbles or droplets; rigid particles are not considered. The model is tested against experimental results from binary collision of hydrocarbon droplets. Good qualitative numerical results are obtained at a practical computational cost. 2017-01-24T09:04:58Z 2017-01-24T09:04:58Z 2016 Master Thesis Masters MSc http://hdl.handle.net/11427/22963 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town
spellingShingle Mathematics and Applied Mathematics
Musehane, Ndivhuwo M
Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model
thesis_degree_str Master's
title Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model
title_full Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model
title_fullStr Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model
title_full_unstemmed Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model
title_short Direct numerical simulation of bubble-bubble and droplet-droplet interaction using a Surface Thin Film model
title_sort direct numerical simulation of bubble bubble and droplet droplet interaction using a surface thin film model
topic Mathematics and Applied Mathematics
url http://hdl.handle.net/11427/22963
work_keys_str_mv AT musehanendivhuwom directnumericalsimulationofbubblebubbleanddropletdropletinteractionusingasurfacethinfilmmodel