Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity
The effect of temperature-dependent viscosity in a horizontal double diffusive binary fluid layer is investigated. When the layer is heated from below, the convection of Benard-Marangoni will start to exists. Linear stability analysis is performed and the eigenvalues from few cases of boundary condi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Institute of Mathematical Sciences
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81546/1/MARANGONI.pdf |
| _version_ | 1796980932514676736 |
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| author | Zainal Abidin, Nurul Hafizah Mohd Mokhtar, Nor Fadzillah Abdul Majid, Zanariah |
| author_facet | Zainal Abidin, Nurul Hafizah Mohd Mokhtar, Nor Fadzillah Abdul Majid, Zanariah |
| author_sort | Zainal Abidin, Nurul Hafizah |
| collection | UPM |
| description | The effect of temperature-dependent viscosity in a horizontal double diffusive binary fluid layer is investigated. When the layer is heated from below, the convection of Benard-Marangoni will start to exists. Linear stability analysis is performed and the eigenvalues from few cases of boundary conditions were obtained. Galerkin method were used to solve the numerical calculation and marginal stability curve is obtained. Results shows that an increase of temperature-dependent viscosity will destabilized the system. The impact of double diffusive coefficients are also revealed. It is found that the effect of Soret parameter exhibits destabilizing reaction on the system while an opposite response is noted with an increase of Dufour parameter. |
| first_indexed | 2024-03-06T10:30:19Z |
| format | Article |
| id | upm.eprints-81546 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:30:19Z |
| publishDate | 2019 |
| publisher | American Institute of Mathematical Sciences |
| record_format | dspace |
| spelling | upm.eprints-815462021-05-07T03:40:44Z http://psasir.upm.edu.my/id/eprint/81546/ Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity Zainal Abidin, Nurul Hafizah Mohd Mokhtar, Nor Fadzillah Abdul Majid, Zanariah The effect of temperature-dependent viscosity in a horizontal double diffusive binary fluid layer is investigated. When the layer is heated from below, the convection of Benard-Marangoni will start to exists. Linear stability analysis is performed and the eigenvalues from few cases of boundary conditions were obtained. Galerkin method were used to solve the numerical calculation and marginal stability curve is obtained. Results shows that an increase of temperature-dependent viscosity will destabilized the system. The impact of double diffusive coefficients are also revealed. It is found that the effect of Soret parameter exhibits destabilizing reaction on the system while an opposite response is noted with an increase of Dufour parameter. American Institute of Mathematical Sciences 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81546/1/MARANGONI.pdf Zainal Abidin, Nurul Hafizah and Mohd Mokhtar, Nor Fadzillah and Abdul Majid, Zanariah (2019) Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity. Numerical Algebra, Control and Optimization, 9 (4). pp. 413-421. ISSN 2155-3289; ESSN: 2155-3297 https://www.aimsciences.org/article/doi/10.3934/naco.2019040 10.3934/naco.2019040 |
| spellingShingle | Zainal Abidin, Nurul Hafizah Mohd Mokhtar, Nor Fadzillah Abdul Majid, Zanariah Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity |
| title | Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity |
| title_full | Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity |
| title_fullStr | Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity |
| title_full_unstemmed | Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity |
| title_short | Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity |
| title_sort | onset of benard marangoni instabilities in a double diffusive binary fluid layer with temperature dependent viscosity |
| url | http://psasir.upm.edu.my/id/eprint/81546/1/MARANGONI.pdf |
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