Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation
Convection-diffusion problems, due to its fundamental nature, are found in various science and engineering applications. In this research, the importance of the relationship between grid structure and flow parameters in such problems is emphasized. In particular, we propose a systematic technique in...
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| Format: | Article |
| Language: | English |
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Dionisios Pylarinos
2018
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| Online Access: | http://eprints.uthm.edu.my/4439/1/AJ%202018%20%28766%29%20Formulation%20of%20low%20peclet%20number%20based%20grid%20expansion%20factor%20for%20the%20solution%20of%20the%20convection-diffusion%20equation.pdf |
| _version_ | 1825709844433207296 |
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| author | Abdullah, Aslam |
| author_facet | Abdullah, Aslam |
| author_sort | Abdullah, Aslam |
| collection | UTHM |
| description | Convection-diffusion problems, due to its fundamental nature, are found in various science and engineering applications. In this research, the importance of the relationship between grid structure and flow parameters in such problems is emphasized. In particular, we propose a systematic technique in the selection of the grid expansion factor based on its logarithmic relationship with low Peclet number. Such linear mathematical connection between the two non-dimensional parameters serves as a guideline for more structured decision-making and improves the heuristic process in the determination of the computational domain grid for the numerical solution of convection-diffusion equations especially in the prediction of the concentration of the scalar. Results confirm the effectiveness of the new approach. |
| first_indexed | 2024-03-05T21:48:34Z |
| format | Article |
| id | uthm.eprints-4439 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:48:34Z |
| publishDate | 2018 |
| publisher | Dionisios Pylarinos |
| record_format | dspace |
| spelling | uthm.eprints-44392021-12-06T08:06:29Z http://eprints.uthm.edu.my/4439/ Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation Abdullah, Aslam TJ255-265 Heat engines Convection-diffusion problems, due to its fundamental nature, are found in various science and engineering applications. In this research, the importance of the relationship between grid structure and flow parameters in such problems is emphasized. In particular, we propose a systematic technique in the selection of the grid expansion factor based on its logarithmic relationship with low Peclet number. Such linear mathematical connection between the two non-dimensional parameters serves as a guideline for more structured decision-making and improves the heuristic process in the determination of the computational domain grid for the numerical solution of convection-diffusion equations especially in the prediction of the concentration of the scalar. Results confirm the effectiveness of the new approach. Dionisios Pylarinos 2018 Article PeerReviewed text en http://eprints.uthm.edu.my/4439/1/AJ%202018%20%28766%29%20Formulation%20of%20low%20peclet%20number%20based%20grid%20expansion%20factor%20for%20the%20solution%20of%20the%20convection-diffusion%20equation.pdf Abdullah, Aslam (2018) Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation. Engineering, Technology & Applied Science Research, 8 (2). pp. 2680-2684. ISSN 1792-8036 |
| spellingShingle | TJ255-265 Heat engines Abdullah, Aslam Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation |
| title | Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation |
| title_full | Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation |
| title_fullStr | Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation |
| title_full_unstemmed | Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation |
| title_short | Formulation of low peclet number based grid expansion factor for the solution of the convection-diffusion equation |
| title_sort | formulation of low peclet number based grid expansion factor for the solution of the convection diffusion equation |
| topic | TJ255-265 Heat engines |
| url | http://eprints.uthm.edu.my/4439/1/AJ%202018%20%28766%29%20Formulation%20of%20low%20peclet%20number%20based%20grid%20expansion%20factor%20for%20the%20solution%20of%20the%20convection-diffusion%20equation.pdf |
| work_keys_str_mv | AT abdullahaslam formulationoflowpecletnumberbasedgridexpansionfactorforthesolutionoftheconvectiondiffusionequation |