Stability of Marangoni Convection in a Fluid Layer with Variable Viscosity and deformable Free Surface under Free-Slip condition
The steady marangoni convection is investigated in ahorizontal layer of fluid with a free-slip bottom heated frombelow and cooled from above. Since the viscosity is temperaturedependentthe consequences of relaxing oberbeck-boussinesqapproximation and free surface deformability are theoreticallyexami...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Stefan cel Mare University of Suceava
2009-01-01
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| Series: | Journal of Applied Computer Science & Mathematics |
| Subjects: | |
| Online Access: | http://www.jacs.usv.ro/getpdf.php?issue=6&paperid=67 |
| _version_ | 1818408406423175168 |
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| author | Nurul Hafizah Zainal Abidin Norihan Md Arifin |
| author_facet | Nurul Hafizah Zainal Abidin Norihan Md Arifin |
| author_sort | Nurul Hafizah Zainal Abidin |
| collection | DOAJ |
| description | The steady marangoni convection is investigated in ahorizontal layer of fluid with a free-slip bottom heated frombelow and cooled from above. Since the viscosity is temperaturedependentthe consequences of relaxing oberbeck-boussinesqapproximation and free surface deformability are theoreticallyexamined by means of small disturbance analysis. Prediction forthe onset of convection are obtained from the analysis bynumerical technique. The effect of variable viscosity and surfacedeformation on the onset of fluid motion is investigated in detail.It is shown that the critical values of marangoni and wavenumber depend strongly on the viscosity variation and surfacedeformation. |
| first_indexed | 2024-12-14T09:43:13Z |
| format | Article |
| id | doaj.art-ae3b973e48a34cfab37bd88373ac5549 |
| institution | Directory Open Access Journal |
| issn | 2066-4273 2066-3129 |
| language | English |
| last_indexed | 2024-12-14T09:43:13Z |
| publishDate | 2009-01-01 |
| publisher | Stefan cel Mare University of Suceava |
| record_format | Article |
| series | Journal of Applied Computer Science & Mathematics |
| spelling | doaj.art-ae3b973e48a34cfab37bd88373ac55492022-12-21T23:07:44ZengStefan cel Mare University of SuceavaJournal of Applied Computer Science & Mathematics2066-42732066-31292009-01-01364347Stability of Marangoni Convection in a Fluid Layer with Variable Viscosity and deformable Free Surface under Free-Slip conditionNurul Hafizah Zainal AbidinNorihan Md ArifinThe steady marangoni convection is investigated in ahorizontal layer of fluid with a free-slip bottom heated frombelow and cooled from above. Since the viscosity is temperaturedependentthe consequences of relaxing oberbeck-boussinesqapproximation and free surface deformability are theoreticallyexamined by means of small disturbance analysis. Prediction forthe onset of convection are obtained from the analysis bynumerical technique. The effect of variable viscosity and surfacedeformation on the onset of fluid motion is investigated in detail.It is shown that the critical values of marangoni and wavenumber depend strongly on the viscosity variation and surfacedeformation.http://www.jacs.usv.ro/getpdf.php?issue=6&paperid=67Marangoni convection: Heat generationFree-slip |
| spellingShingle | Nurul Hafizah Zainal Abidin Norihan Md Arifin Stability of Marangoni Convection in a Fluid Layer with Variable Viscosity and deformable Free Surface under Free-Slip condition Journal of Applied Computer Science & Mathematics Marangoni convection: Heat generation Free-slip |
| title | Stability of Marangoni Convection in a Fluid Layer with Variable Viscosity and deformable Free Surface under Free-Slip condition |
| title_full | Stability of Marangoni Convection in a Fluid Layer with Variable Viscosity and deformable Free Surface under Free-Slip condition |
| title_fullStr | Stability of Marangoni Convection in a Fluid Layer with Variable Viscosity and deformable Free Surface under Free-Slip condition |
| title_full_unstemmed | Stability of Marangoni Convection in a Fluid Layer with Variable Viscosity and deformable Free Surface under Free-Slip condition |
| title_short | Stability of Marangoni Convection in a Fluid Layer with Variable Viscosity and deformable Free Surface under Free-Slip condition |
| title_sort | stability of marangoni convection in a fluid layer with variable viscosity and deformable free surface under free slip condition |
| topic | Marangoni convection: Heat generation Free-slip |
| url | http://www.jacs.usv.ro/getpdf.php?issue=6&paperid=67 |
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