Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM)

The study of convective heat transfer has generated many interests and become more important recently because of their wide applications in engineering and in several industrial processes. In this dissertation, the effects of pressure gradient and Prandtl number on velocity and temperature profiles...

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Main Author: Daniel, Yahaya Shagaiya
Format: Thesis
Language:English
Published: 2014
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Online Access:http://eprints.utm.my/id/eprint/51406/1/YahayaShagaiyaDanielMFS2014.pdf
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spelling my.utm.514062020-07-13T03:45:16Z http://eprints.utm.my/id/eprint/51406/ Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM) Daniel, Yahaya Shagaiya QA Mathematics The study of convective heat transfer has generated many interests and become more important recently because of their wide applications in engineering and in several industrial processes. In this dissertation, the effects of pressure gradient and Prandtl number on velocity and temperature profiles on convective heat transfer in boundary layer over a flat plate are discussed. The governing boundary layer equations are transformed into a system of non-dimensional equations and then solved using Homotopy Analysis Method. This method provides the freedom to choose the initial guess function. This is used to solve the boundary layer problem. The approximate analytical results are then compared with published results obtained by Homotopy Perturbation Method and Finite Difference Method. This study is focused on comparing the accuracy of results and applicability of the three methods which are HAM, HPM and NM. Homotopy analysis method which is an approximate analytical approach compares between the HPM and NM reveals that the HAM technique is a powerful tool for the boundary layer. Results of HAM in the absence of pressure gradient are better than the HPM and Numerical Method (Finite Difference Method). 2014-06 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/51406/1/YahayaShagaiyaDanielMFS2014.pdf Daniel, Yahaya Shagaiya (2014) Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM). Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86411
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Daniel, Yahaya Shagaiya
Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM)
description The study of convective heat transfer has generated many interests and become more important recently because of their wide applications in engineering and in several industrial processes. In this dissertation, the effects of pressure gradient and Prandtl number on velocity and temperature profiles on convective heat transfer in boundary layer over a flat plate are discussed. The governing boundary layer equations are transformed into a system of non-dimensional equations and then solved using Homotopy Analysis Method. This method provides the freedom to choose the initial guess function. This is used to solve the boundary layer problem. The approximate analytical results are then compared with published results obtained by Homotopy Perturbation Method and Finite Difference Method. This study is focused on comparing the accuracy of results and applicability of the three methods which are HAM, HPM and NM. Homotopy analysis method which is an approximate analytical approach compares between the HPM and NM reveals that the HAM technique is a powerful tool for the boundary layer. Results of HAM in the absence of pressure gradient are better than the HPM and Numerical Method (Finite Difference Method).
format Thesis
author Daniel, Yahaya Shagaiya
author_facet Daniel, Yahaya Shagaiya
author_sort Daniel, Yahaya Shagaiya
title Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM)
title_short Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM)
title_full Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM)
title_fullStr Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM)
title_full_unstemmed Effects of pressure gradient on steady forced convection using homotopy analysis method (HAM)
title_sort effects of pressure gradient on steady forced convection using homotopy analysis method (ham)
publishDate 2014
url http://eprints.utm.my/id/eprint/51406/1/YahayaShagaiyaDanielMFS2014.pdf
http://eprints.utm.my/id/eprint/51406/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86411
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score 13.209306