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Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi

A Laplace's heat conduction equation is derived and then solved before identifying the temperature distribution of aluminium using the same equation. The heat conduction equation was derived from the First Law of Thennodynamics before applying Fourier's Law of Heat Conduction and then solv...

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Main Authors: Mat Nawi, Aimi Zafirah, Azizul, Fatin Munirah, Mohamad Tarmizi, Maryam Nadhrah
Format: Student Project
Language:English
Published: 2017
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110026/1/110026.pdf
https://ir.uitm.edu.my/id/eprint/110026/
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spelling my.uitm.ir.1100262025-02-11T08:44:23Z https://ir.uitm.edu.my/id/eprint/110026/ Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi Mat Nawi, Aimi Zafirah Azizul, Fatin Munirah Mohamad Tarmizi, Maryam Nadhrah Study and teaching Equations Analysis A Laplace's heat conduction equation is derived and then solved before identifying the temperature distribution of aluminium using the same equation. The heat conduction equation was derived from the First Law of Thennodynamics before applying Fourier's Law of Heat Conduction and then solved using central finite difference method and Gauss-Seidel iterations. The temperature distribution of aluminium was calculated using a different set of boundary equations than the one used for the first heat equation. Three different number of nodes, 2x2, 3x3 and 8x8 were used to solve the heat equation to see how it affected the accuracy of the temperature distribution. The solution then was graphed using MATLAB software. It was found that the more nodes used, the more accurate the temperature distribution calculated. All the results gained were compared with previously published work for validation. 2017 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110026/1/110026.pdf Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi. (2017) [Student Project] <http://terminalib.uitm.edu.my/110026.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Mat Nawi, Aimi Zafirah
Azizul, Fatin Munirah
Mohamad Tarmizi, Maryam Nadhrah
Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi
description A Laplace's heat conduction equation is derived and then solved before identifying the temperature distribution of aluminium using the same equation. The heat conduction equation was derived from the First Law of Thennodynamics before applying Fourier's Law of Heat Conduction and then solved using central finite difference method and Gauss-Seidel iterations. The temperature distribution of aluminium was calculated using a different set of boundary equations than the one used for the first heat equation. Three different number of nodes, 2x2, 3x3 and 8x8 were used to solve the heat equation to see how it affected the accuracy of the temperature distribution. The solution then was graphed using MATLAB software. It was found that the more nodes used, the more accurate the temperature distribution calculated. All the results gained were compared with previously published work for validation.
format Student Project
author Mat Nawi, Aimi Zafirah
Azizul, Fatin Munirah
Mohamad Tarmizi, Maryam Nadhrah
author_facet Mat Nawi, Aimi Zafirah
Azizul, Fatin Munirah
Mohamad Tarmizi, Maryam Nadhrah
author_sort Mat Nawi, Aimi Zafirah
title Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi
title_short Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi
title_full Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi
title_fullStr Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi
title_full_unstemmed Technical report: solving two dimensional explicit heat conduction equation by using finite difference method / Aimi Zafirah Mat Nawi, Fatin Munirah Azizul and Maryam Nadhrah Mohamad Tarmizi
title_sort technical report: solving two dimensional explicit heat conduction equation by using finite difference method / aimi zafirah mat nawi, fatin munirah azizul and maryam nadhrah mohamad tarmizi
publishDate 2017
url https://ir.uitm.edu.my/id/eprint/110026/1/110026.pdf
https://ir.uitm.edu.my/id/eprint/110026/
_version_ 1825165142014296064
score 13.239859

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