Dual solution of mixed convection boundary- layer flow in a porous medium
This report records the project done by the author during final year. The aim of this project is to test and find out the dual solution of mixed convection boundary layer flow in a porous medium. The author had opportunities to study Matlab software to solve this problem, which is in the chapter two...
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| Other Authors: | |
| Format: | Final Year Project (FYP) |
| Language: | English |
| Published: |
2010
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| Online Access: | http://hdl.handle.net/10356/40328 |
| _version_ | 1811693178285195264 |
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| author | Nan, Xiao Qian |
| author2 | Shu Jian Jun |
| author_facet | Shu Jian Jun Nan, Xiao Qian |
| author_sort | Nan, Xiao Qian |
| collection | NTU |
| description | This report records the project done by the author during final year. The aim of this project is to test and find out the dual solution of mixed convection boundary layer flow in a porous medium. The author had opportunities to study Matlab software to solve this problem, which is in the chapter two of the report. The author also made use of this chance to gain some knowledge in different types of heat convection in free and forced boundary layers, interaction of porous medium on the boundary field.
Using all these theory and understanding the mathematic governing equations to plot graphs, and get dual solution of mixed convection boundary layer flow for opposing flow and blowing flow.
The purpose of the study is to show that dual solutions exist in the opposing flow regime and continue into that of the assisting flow regime The results showed that it is possible to obtain dual solutions of the similarity equations for both assisting flow (λ>0), as well as for the opposing flow (λ<0). In this study, the governing nonlinear ordinary differential equations were solved. For λ<0, there is a critical value λc with two branches of solution between λ>λc and λ=λc. As the boundary layer separates from the surface at λ=λc, no solutions can be obtain for λ<λc . The blowing flow, for σ<0, there is a critical value of σc with two branches of solution between σ > σ c, and there is no solutions can be obtain for σ < σ c |
| first_indexed | 2024-10-01T06:47:33Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/40328 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:47:33Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | ntu-10356/403282023-03-04T18:49:00Z Dual solution of mixed convection boundary- layer flow in a porous medium Nan, Xiao Qian Shu Jian Jun School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering::Fluid mechanics This report records the project done by the author during final year. The aim of this project is to test and find out the dual solution of mixed convection boundary layer flow in a porous medium. The author had opportunities to study Matlab software to solve this problem, which is in the chapter two of the report. The author also made use of this chance to gain some knowledge in different types of heat convection in free and forced boundary layers, interaction of porous medium on the boundary field. Using all these theory and understanding the mathematic governing equations to plot graphs, and get dual solution of mixed convection boundary layer flow for opposing flow and blowing flow. The purpose of the study is to show that dual solutions exist in the opposing flow regime and continue into that of the assisting flow regime The results showed that it is possible to obtain dual solutions of the similarity equations for both assisting flow (λ>0), as well as for the opposing flow (λ<0). In this study, the governing nonlinear ordinary differential equations were solved. For λ<0, there is a critical value λc with two branches of solution between λ>λc and λ=λc. As the boundary layer separates from the surface at λ=λc, no solutions can be obtain for λ<λc . The blowing flow, for σ<0, there is a critical value of σc with two branches of solution between σ > σ c, and there is no solutions can be obtain for σ < σ c Bachelor of Engineering (Mechanical Engineering) 2010-06-14T09:02:11Z 2010-06-14T09:02:11Z 2010 2010 Final Year Project (FYP) http://hdl.handle.net/10356/40328 en Nanyang Technological University 98 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Mechanical engineering::Fluid mechanics Nan, Xiao Qian Dual solution of mixed convection boundary- layer flow in a porous medium |
| title | Dual solution of mixed convection boundary- layer flow in a porous medium |
| title_full | Dual solution of mixed convection boundary- layer flow in a porous medium |
| title_fullStr | Dual solution of mixed convection boundary- layer flow in a porous medium |
| title_full_unstemmed | Dual solution of mixed convection boundary- layer flow in a porous medium |
| title_short | Dual solution of mixed convection boundary- layer flow in a porous medium |
| title_sort | dual solution of mixed convection boundary layer flow in a porous medium |
| topic | DRNTU::Engineering::Mechanical engineering::Fluid mechanics |
| url | http://hdl.handle.net/10356/40328 |
| work_keys_str_mv | AT nanxiaoqian dualsolutionofmixedconvectionboundarylayerflowinaporousmedium |