A New Divergence Method for Heat Transfer with Neumann Boundary Condition

New Divergence Theorem is a new formulation for the simplest case of heat transfer problem involving Neumann Boundary Condition which combines two different numerical techniques which are Finite Element Method (FEM) and Finite Volume Method (FVM). The use of numerical techniques to solve such pro...

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Main Author: Sabri, Fatin Nabilah
Format: Final Year Project
Language: English
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-utpedia.23022 /
Published: Universiti Teknologi PETRONAS 2017
Subjects:
TA Engineering (General). Civil engineering (General)
Online Access: http://utpedia.utp.edu.my/23022/1/i.%20Final%20Dissertation.pdf
http://utpedia.utp.edu.my/23022/
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spelling utp-utpedia.230222022-03-11T04:14:52Z http://utpedia.utp.edu.my/23022/ A New Divergence Method for Heat Transfer with Neumann Boundary Condition Sabri, Fatin Nabilah TA Engineering (General). Civil engineering (General) New Divergence Theorem is a new formulation for the simplest case of heat transfer problem involving Neumann Boundary Condition which combines two different numerical techniques which are Finite Element Method (FEM) and Finite Volume Method (FVM). The use of numerical techniques to solve such problems is therefore considered essentials since the powerful Finite Element Method (FEM) is capable in solving heat transfer analysis by giving a piecewise approximation of the domain. This study aims to evaluate the hypothesis of combining FEM with the FVM and to develop a new formulation of heat transfer problem involving Neumann Boundary Condition. Finite Volume Method (FVM), which uses the concept of Green Divergence Theorem, where a surface integral can be transformed to line integral has less accuracy since it develops the assumption of constant flux. Universiti Teknologi PETRONAS 2017-09 Final Year Project NonPeerReviewed application/pdf en http://utpedia.utp.edu.my/23022/1/i.%20Final%20Dissertation.pdf Sabri, Fatin Nabilah (2017) A New Divergence Method for Heat Transfer with Neumann Boundary Condition. Universiti Teknologi PETRONAS. (Submitted)
institution Universiti Teknologi Petronas
collection UTPedia
language English
topic TA Engineering (General). Civil engineering (General)
spellingShingle TA Engineering (General). Civil engineering (General)
Sabri, Fatin Nabilah
A New Divergence Method for Heat Transfer with Neumann Boundary Condition
description New Divergence Theorem is a new formulation for the simplest case of heat transfer problem involving Neumann Boundary Condition which combines two different numerical techniques which are Finite Element Method (FEM) and Finite Volume Method (FVM). The use of numerical techniques to solve such problems is therefore considered essentials since the powerful Finite Element Method (FEM) is capable in solving heat transfer analysis by giving a piecewise approximation of the domain. This study aims to evaluate the hypothesis of combining FEM with the FVM and to develop a new formulation of heat transfer problem involving Neumann Boundary Condition. Finite Volume Method (FVM), which uses the concept of Green Divergence Theorem, where a surface integral can be transformed to line integral has less accuracy since it develops the assumption of constant flux.
format Final Year Project
author Sabri, Fatin Nabilah
author_sort Sabri, Fatin Nabilah
title A New Divergence Method for Heat Transfer with Neumann Boundary Condition
title_short A New Divergence Method for Heat Transfer with Neumann Boundary Condition
title_full A New Divergence Method for Heat Transfer with Neumann Boundary Condition
title_fullStr A New Divergence Method for Heat Transfer with Neumann Boundary Condition
title_full_unstemmed A New Divergence Method for Heat Transfer with Neumann Boundary Condition
title_sort new divergence method for heat transfer with neumann boundary condition
publisher Universiti Teknologi PETRONAS
publishDate 2017
url http://utpedia.utp.edu.my/23022/1/i.%20Final%20Dissertation.pdf
http://utpedia.utp.edu.my/23022/
_version_ 1741195896207441920
score 11.62408

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