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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| 言語: | English |
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Hindawi Publishing Corporation
2013
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| オンライン･アクセス: | http://psasir.upm.edu.my/id/eprint/30210/1/30210.pdf http://psasir.upm.edu.my/id/eprint/30210/ https://www.hindawi.com/journals/aaa/2013/269420/abs/ |
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my.upm.eprints.302102017-10-19T07:32:36Z http://psasir.upm.edu.my/id/eprint/30210/ Lie group analysis and similarity solutions for mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Gheisari, Yousof Chaharborj, Reza Seddighi Abu Bakar, Mohd Rizam Abdul Majid, Zanariah 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30210/1/30210.pdf Chaharborj, Sarkhosh Seddighi and Ismail, Fudziah and Gheisari, Yousof and Chaharborj, Reza Seddighi and Abu Bakar, Mohd Rizam and Abdul Majid, Zanariah (2013) 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, 2013. art. no. 269420. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/269420/abs/ 10.1155/2013/269420 |
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English |
| 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 |
| author |
Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Gheisari, Yousof Chaharborj, Reza Seddighi Abu Bakar, Mohd Rizam Abdul Majid, Zanariah |
| spellingShingle |
Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Gheisari, Yousof Chaharborj, Reza Seddighi Abu Bakar, Mohd Rizam Abdul Majid, Zanariah Lie group analysis and similarity solutions for mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet |
| author_facet |
Chaharborj, Sarkhosh Seddighi Ismail, Fudziah Gheisari, Yousof Chaharborj, Reza Seddighi Abu Bakar, Mohd Rizam Abdul Majid, Zanariah |
| author_sort |
Chaharborj, Sarkhosh Seddighi |
| title |
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_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_sort |
lie group analysis and similarity solutions for mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2013 |
| url |
http://psasir.upm.edu.my/id/eprint/30210/1/30210.pdf http://psasir.upm.edu.my/id/eprint/30210/ https://www.hindawi.com/journals/aaa/2013/269420/abs/ |
| _version_ |
1643829990256541696 |
| score |
13.251813 |