An analysis of blasius boundary layer solution with different numerical methods

The nonlinear equation from Prandtl has been solved by Blasius using Fourth order Runge-Kutta methods. The thesis aims to study the effect of solving the nonlinear equation using different numerical methods. Upon the study of the different numerical methods be use to solve the nonlinear equation, th...

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Main Author: Mustafa Saifudeen, Abdul Walid
Format: Undergraduates Project Papers
Language:English
Published: 2012
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/4887/
http://umpir.ump.edu.my/id/eprint/4887/
http://umpir.ump.edu.my/id/eprint/4887/1/cd7295_64.pdf
id ump-4887
recordtype eprints
spelling ump-48872015-03-03T09:21:47Z http://umpir.ump.edu.my/id/eprint/4887/ An analysis of blasius boundary layer solution with different numerical methods Mustafa Saifudeen, Abdul Walid QA Mathematics The nonlinear equation from Prandtl has been solved by Blasius using Fourth order Runge-Kutta methods. The thesis aims to study the effect of solving the nonlinear equation using different numerical methods. Upon the study of the different numerical methods be use to solve the nonlinear equation, the Predictor-Corrector methods, the Shooting method and the Modified Predictor-Corrector method were used. The differences of the methods with the existing Blasius solution method were analyzed. The Modified Predictor-Corrector method was developed from the Predictor-Corrector method by adjusting the pattern of the equation. It shows the graphs of the f, f’ and f’’ against the eta. All the methods have the same shape of graph. The Shooting method is closely to the Blasius method but not stable at certain value. The Variational Iteration method that has been used cannot be proceeding because the method only valid for the earlier flows and lost the pattern at the higher value of eta. It can be comprehend that the Predictor-Corrector methods, the Shooting method and the Modified Predictor-Corrector method achieve the conditions and can be applied to solve the nonlinear equation with minimal differences. The methods are highly recommended to solve the Sakiadis problem instead of the stationary flat plate problem. 2012-06 Undergraduates Project Papers NonPeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/4887/1/cd7295_64.pdf Mustafa Saifudeen, Abdul Walid (2012) An analysis of blasius boundary layer solution with different numerical methods. Faculty of Mechanical Engineering, Universiti Malaysia Pahang. http://iportal.ump.edu.my/lib/item?id=chamo:75550&theme=UMP2
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mustafa Saifudeen, Abdul Walid
An analysis of blasius boundary layer solution with different numerical methods
description The nonlinear equation from Prandtl has been solved by Blasius using Fourth order Runge-Kutta methods. The thesis aims to study the effect of solving the nonlinear equation using different numerical methods. Upon the study of the different numerical methods be use to solve the nonlinear equation, the Predictor-Corrector methods, the Shooting method and the Modified Predictor-Corrector method were used. The differences of the methods with the existing Blasius solution method were analyzed. The Modified Predictor-Corrector method was developed from the Predictor-Corrector method by adjusting the pattern of the equation. It shows the graphs of the f, f’ and f’’ against the eta. All the methods have the same shape of graph. The Shooting method is closely to the Blasius method but not stable at certain value. The Variational Iteration method that has been used cannot be proceeding because the method only valid for the earlier flows and lost the pattern at the higher value of eta. It can be comprehend that the Predictor-Corrector methods, the Shooting method and the Modified Predictor-Corrector method achieve the conditions and can be applied to solve the nonlinear equation with minimal differences. The methods are highly recommended to solve the Sakiadis problem instead of the stationary flat plate problem.
format Undergraduates Project Papers
author Mustafa Saifudeen, Abdul Walid
author_facet Mustafa Saifudeen, Abdul Walid
author_sort Mustafa Saifudeen, Abdul Walid
title An analysis of blasius boundary layer solution with different numerical methods
title_short An analysis of blasius boundary layer solution with different numerical methods
title_full An analysis of blasius boundary layer solution with different numerical methods
title_fullStr An analysis of blasius boundary layer solution with different numerical methods
title_full_unstemmed An analysis of blasius boundary layer solution with different numerical methods
title_sort analysis of blasius boundary layer solution with different numerical methods
publishDate 2012
url http://umpir.ump.edu.my/id/eprint/4887/
http://umpir.ump.edu.my/id/eprint/4887/
http://umpir.ump.edu.my/id/eprint/4887/1/cd7295_64.pdf
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last_indexed 2023-09-18T21:59:52Z
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