Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet
An analysis for the mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet is carried out via symmetry analysis. By employing Lie group method to the given system of nonlinear partial differential equations, we can obtain information about the invariants and...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/269420 |
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| author | Sarkhosh Seddighi Chaharborj Fudziah Ismail Yousof Gheisari Reza Seddighi Chaharborj Mohd Rizam Abu Bakar Zanariah Abdul Majid |
| author_facet | Sarkhosh Seddighi Chaharborj Fudziah Ismail Yousof Gheisari Reza Seddighi Chaharborj Mohd Rizam Abu Bakar Zanariah Abdul Majid |
| author_sort | Sarkhosh Seddighi Chaharborj |
| collection | DOAJ |
| description | An analysis for the mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet is carried out via symmetry analysis. By employing Lie group method to the given system of nonlinear partial differential equations, we can obtain information about the invariants and symmetries of these equations. This information can be used to determine the similarity variables that will reduce the number of independent variables in the system. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using fifth-order Improved Runge-Kutta Method (IRK5) coupled with shooting method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. This paper' results in comparison with known results are excellent. |
| format | Article |
| id | doaj-art-0e82c9ae5a3448cd9458aa4e5b59c9c7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0e82c9ae5a3448cd9458aa4e5b59c9c72025-08-20T03:54:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/269420269420Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical SheetSarkhosh Seddighi Chaharborj0Fudziah Ismail1Yousof Gheisari2Reza Seddighi Chaharborj3Mohd Rizam Abu Bakar4Zanariah Abdul Majid5Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, MalaysiaDepartment of Mathematics, Islamic Azad University, Bushehr Branch, 7514763448 Bushehr, IranDepartment of Applied Mathematics and Computer Science, Eastern Mediterranean University, Famagusta, Northern Cyprus via Mersin 10, TurkeyDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, MalaysiaInstitute of Mathematical Research, Universiti Putra Malaysia, 43400 Serdang Selangor, Darul Ehsan, MalaysiaAn analysis for the mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet is carried out via symmetry analysis. By employing Lie group method to the given system of nonlinear partial differential equations, we can obtain information about the invariants and symmetries of these equations. This information can be used to determine the similarity variables that will reduce the number of independent variables in the system. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using fifth-order Improved Runge-Kutta Method (IRK5) coupled with shooting method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. This paper' results in comparison with known results are excellent.http://dx.doi.org/10.1155/2013/269420 |
| spellingShingle | Sarkhosh Seddighi Chaharborj Fudziah Ismail Yousof Gheisari Reza Seddighi Chaharborj Mohd Rizam Abu Bakar Zanariah Abdul Majid Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet Abstract and Applied Analysis |
| title | Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet |
| title_full | Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet |
| title_fullStr | Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet |
| title_full_unstemmed | Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet |
| title_short | Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet |
| title_sort | lie group analysis and similarity solutions for mixed convection boundary layers in the stagnation point flow toward a stretching vertical sheet |
| url | http://dx.doi.org/10.1155/2013/269420 |
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