Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection
This paper considers the extended problem of the thermosolutal Marangoni forced convection boundary layer by Pop et al. (2001) when the wall is permeable, namely, there is a suction or injection effect. The governing system of partial differential equations is transformed into a system of ordinary d...
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Format: | Article |
Language: | English |
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Hindawi Publishing Corporation
2011
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Online Access: | http://psasir.upm.edu.my/id/eprint/24818/1/Dual%20solutions%20on%20thermosolutal%20marangoni%20forced%20convection%20boundary%20layer%20with%20suction%20and%20injection.pdf |
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author | Abdul Hamid, Rohana Md. Arifin, Norihan Nazar, Roslinda Md. Ali, Fadzilah Pop, Ioan |
author_facet | Abdul Hamid, Rohana Md. Arifin, Norihan Nazar, Roslinda Md. Ali, Fadzilah Pop, Ioan |
author_sort | Abdul Hamid, Rohana |
collection | UPM |
description | This paper considers the extended problem of the thermosolutal Marangoni forced convection boundary layer by Pop et al. (2001) when the wall is permeable, namely, there is a suction or injection effect. The governing system of partial differential equations is transformed into a system of ordinary differential equations, and the transformed equations are solved numerically using the shooting method. The effects of suction or injection parameter on the velocity, temperature, and concentration profiles are illustrated and presented in tables and figures. It is shown that dual solutions exist for the similarity parameter less than 0.5. |
first_indexed | 2024-03-06T08:00:59Z |
format | Article |
id | upm.eprints-24818 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T08:00:59Z |
publishDate | 2011 |
publisher | Hindawi Publishing Corporation |
record_format | dspace |
spelling | upm.eprints-248182016-06-30T05:13:01Z http://psasir.upm.edu.my/id/eprint/24818/ Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection Abdul Hamid, Rohana Md. Arifin, Norihan Nazar, Roslinda Md. Ali, Fadzilah Pop, Ioan This paper considers the extended problem of the thermosolutal Marangoni forced convection boundary layer by Pop et al. (2001) when the wall is permeable, namely, there is a suction or injection effect. The governing system of partial differential equations is transformed into a system of ordinary differential equations, and the transformed equations are solved numerically using the shooting method. The effects of suction or injection parameter on the velocity, temperature, and concentration profiles are illustrated and presented in tables and figures. It is shown that dual solutions exist for the similarity parameter less than 0.5. Hindawi Publishing Corporation 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24818/1/Dual%20solutions%20on%20thermosolutal%20marangoni%20forced%20convection%20boundary%20layer%20with%20suction%20and%20injection.pdf Abdul Hamid, Rohana and Md. Arifin, Norihan and Nazar, Roslinda and Md. Ali, Fadzilah and Pop, Ioan (2011) Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection. Mathematical Problems in Engineering, 2011 (875754). pp. 1-19. ISSN 1024-123X 10.1155/2011/875754 |
spellingShingle | Abdul Hamid, Rohana Md. Arifin, Norihan Nazar, Roslinda Md. Ali, Fadzilah Pop, Ioan Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection |
title | Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection |
title_full | Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection |
title_fullStr | Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection |
title_full_unstemmed | Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection |
title_short | Dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection |
title_sort | dual solutions on thermosolutal marangoni forced convection boundary layer with suction and injection |
url | http://psasir.upm.edu.my/id/eprint/24818/1/Dual%20solutions%20on%20thermosolutal%20marangoni%20forced%20convection%20boundary%20layer%20with%20suction%20and%20injection.pdf |
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