Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem

The dissertation reports the analytical approach and numerical simulation of a transport phenomenon which is governed by the advection-diffusion equation. The main objective is to solve this governing equation by both analytical and numerical methods. One-dimensional advection-diffusion equation is...

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Main Author: Mohamad Nor, Mohd. Azuan
Format: Thesis
Language:English
Published: 2017
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Online Access:http://eprints.utm.my/id/eprint/78831/1/MohdAzuanMohamadMFS2017.pdf
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spelling my-utm-ep.788312018-09-17T04:20:59Z Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem 2017-04 Mohamad Nor, Mohd. Azuan QA Mathematics The dissertation reports the analytical approach and numerical simulation of a transport phenomenon which is governed by the advection-diffusion equation. The main objective is to solve this governing equation by both analytical and numerical methods. One-dimensional advection-diffusion equation is solved by using Laplace Transformation method. Then, the solution is interpreted in two-dimensional graph of solute mass concentration over the distance. The graph is plotted using a mathematical tool i.e. MATLAB software. On the other hand, the numerical simulation is performed by using Computational Fluid Dynamics (CFD) software, ANSYS Fluent. In ANSYS Fluent, the solver discretizes the transport equation using Finite Volume Method where the computational flow domain is divided into control volumes. The transport model is partly adapted based on a phenomenon of solute mass concentration distribution in mixture with air in the flow domain of the cylindrical silo during fumigation. Based on this applications, the initial and boundary conditions are defined similar to the ones in analytical approach. From this simulation, data is obtained in form of graphical distribution profile of solute mass which can be compared against the works from analytical approach, hence, the verification is achieved. The verification demonstrates the accuracy of numerical solution on this transport phenomena, thus, it can be used for various experimental applications. 2017-04 Thesis http://eprints.utm.my/id/eprint/78831/ http://eprints.utm.my/id/eprint/78831/1/MohdAzuanMohamadMFS2017.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:109750 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mohamad Nor, Mohd. Azuan
Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
description The dissertation reports the analytical approach and numerical simulation of a transport phenomenon which is governed by the advection-diffusion equation. The main objective is to solve this governing equation by both analytical and numerical methods. One-dimensional advection-diffusion equation is solved by using Laplace Transformation method. Then, the solution is interpreted in two-dimensional graph of solute mass concentration over the distance. The graph is plotted using a mathematical tool i.e. MATLAB software. On the other hand, the numerical simulation is performed by using Computational Fluid Dynamics (CFD) software, ANSYS Fluent. In ANSYS Fluent, the solver discretizes the transport equation using Finite Volume Method where the computational flow domain is divided into control volumes. The transport model is partly adapted based on a phenomenon of solute mass concentration distribution in mixture with air in the flow domain of the cylindrical silo during fumigation. Based on this applications, the initial and boundary conditions are defined similar to the ones in analytical approach. From this simulation, data is obtained in form of graphical distribution profile of solute mass which can be compared against the works from analytical approach, hence, the verification is achieved. The verification demonstrates the accuracy of numerical solution on this transport phenomena, thus, it can be used for various experimental applications.
format Thesis
qualification_level Master's degree
author Mohamad Nor, Mohd. Azuan
author_facet Mohamad Nor, Mohd. Azuan
author_sort Mohamad Nor, Mohd. Azuan
title Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
title_short Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
title_full Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
title_fullStr Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
title_full_unstemmed Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
title_sort analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2017
url http://eprints.utm.my/id/eprint/78831/1/MohdAzuanMohamadMFS2017.pdf
_version_ 1747818081986543616