Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation
The onset of oscillatory Benard-Marangoni convection in a horizontal fluid layer with internal heat generation and a deformable free surface is studied using an analytical technique employing the classical linear stability theory. We consider the case when both the Rayleigh number and Marangoni numb...
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| Format: | Article |
| Language: | English |
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Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Perlis
2023-09-01
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| Series: | Journal of Computing Research and Innovation |
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| Online Access: | https://jcrinn.com/index.php/jcrinn/article/view/342 |
| _version_ | 1827794440408793088 |
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| author | Mohamad Najib Mohamad Fadzil Izleen Ibrahim |
| author_facet | Mohamad Najib Mohamad Fadzil Izleen Ibrahim |
| author_sort | Mohamad Najib Mohamad Fadzil |
| collection | DOAJ |
| description | The onset of oscillatory Benard-Marangoni convection in a horizontal fluid layer with internal heat generation and a deformable free surface is studied using an analytical technique employing the classical linear stability theory. We consider the case when both the Rayleigh number and Marangoni number are linearly dependent. We obtained the analytical result for the expansion of the Rayleigh number in the limit of a very short wave. We found that the internal heat generation factor influences the leading order of Rayleigh number. |
| first_indexed | 2024-03-11T18:33:43Z |
| format | Article |
| id | doaj.art-30e33b58262e4f1ea4d09506a6751114 |
| institution | Directory Open Access Journal |
| issn | 2600-8793 |
| language | English |
| last_indexed | 2024-03-11T18:33:43Z |
| publishDate | 2023-09-01 |
| publisher | Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Perlis |
| record_format | Article |
| series | Journal of Computing Research and Innovation |
| spelling | doaj.art-30e33b58262e4f1ea4d09506a67511142023-10-13T06:03:03ZengFaculty of Computer and Mathematical Sciences, Universiti Teknologi MARA PerlisJournal of Computing Research and Innovation2600-87932023-09-0182747910.24191/jcrinn.v8i2.342342Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat GenerationMohamad Najib Mohamad Fadzil0Izleen Ibrahim1Universiti Teknologi MARA, Perlis BranchUniversiti Teknologi MARA, Perlis BranchThe onset of oscillatory Benard-Marangoni convection in a horizontal fluid layer with internal heat generation and a deformable free surface is studied using an analytical technique employing the classical linear stability theory. We consider the case when both the Rayleigh number and Marangoni number are linearly dependent. We obtained the analytical result for the expansion of the Rayleigh number in the limit of a very short wave. We found that the internal heat generation factor influences the leading order of Rayleigh number.https://jcrinn.com/index.php/jcrinn/article/view/342benard-marangoni convectionrayleigh-benard convectionfree covectionmarangoni convection |
| spellingShingle | Mohamad Najib Mohamad Fadzil Izleen Ibrahim Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation Journal of Computing Research and Innovation benard-marangoni convection rayleigh-benard convection free covection marangoni convection |
| title | Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation |
| title_full | Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation |
| title_fullStr | Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation |
| title_full_unstemmed | Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation |
| title_short | Marginal Stability of Oscillatory Bénard-Marangoni Convection With Internal Heat Generation |
| title_sort | marginal stability of oscillatory benard marangoni convection with internal heat generation |
| topic | benard-marangoni convection rayleigh-benard convection free covection marangoni convection |
| url | https://jcrinn.com/index.php/jcrinn/article/view/342 |
| work_keys_str_mv | AT mohamadnajibmohamadfadzil marginalstabilityofoscillatorybenardmarangoniconvectionwithinternalheatgeneration AT izleenibrahim marginalstabilityofoscillatorybenardmarangoniconvectionwithinternalheatgeneration |