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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| Format: | Undergraduates Project Papers |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Online Zugang: | http://umpir.ump.edu.my/id/eprint/4887/1/36.An%20analysis%20of%20blasius%20boundary%20layer%20solution%20with%20different%20numerical%20methods.pdf |
| _version_ | 1825821574985416704 |
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| author | Mustafa Saifudeen, Abdul Walid |
| author_facet | Mustafa Saifudeen, Abdul Walid |
| author_sort | Mustafa Saifudeen, Abdul Walid |
| collection | UMP |
| 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. |
| first_indexed | 2024-03-06T11:43:36Z |
| format | Undergraduates Project Papers |
| id | UMPir4887 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T11:43:36Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | UMPir48872023-03-24T01:24:20Z 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 pdf en http://umpir.ump.edu.my/id/eprint/4887/1/36.An%20analysis%20of%20blasius%20boundary%20layer%20solution%20with%20different%20numerical%20methods.pdf Mustafa Saifudeen, Abdul Walid (2012) An analysis of blasius boundary layer solution with different numerical methods. Faculty of Mechanical Engineering, Universiti Malaysia Pahang. |
| spellingShingle | QA Mathematics Mustafa Saifudeen, Abdul Walid An analysis of blasius boundary layer solution with different numerical methods |
| title | 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_short | An analysis of blasius boundary layer solution with different numerical methods |
| title_sort | analysis of blasius boundary layer solution with different numerical methods |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/4887/1/36.An%20analysis%20of%20blasius%20boundary%20layer%20solution%20with%20different%20numerical%20methods.pdf |
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