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Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3934/naco.2019040
Publisher: American Institute of Mathematical Sciences
Keywords: Temperature-dependent viscosity; Binary fluid; Double diffusive; Galerkin method; Convection
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 07 May 2021 03:40
Last Modified: 07 May 2021 03:40
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3934/naco.2019040
URI: http://psasir.upm.edu.my/id/eprint/81546
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