Temperature dependent viscosity effect on stability convection of double diffusive binary fluid
In this thesis, the thermal instability in a double diffusive binary fluid with temperature dependent viscosity effect is formulated mathematically based on Boussinesq approximation. The linear stability analysis is applied to the governing equations. The resulting eigenvalue obtained are solved...
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| Format: | Thesis |
| Language: | English |
| Published: |
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/90346/ http://psasir.upm.edu.my/id/eprint/90346/1/IPM%202020%204%20ir.pdf |
| _version_ | 1848861041917689856 |
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| author | Zainal Abidin, Nurul Hafizah |
| author_facet | Zainal Abidin, Nurul Hafizah |
| author_sort | Zainal Abidin, Nurul Hafizah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this thesis, the thermal instability in a double diffusive binary fluid with temperature
dependent viscosity effect is formulated mathematically based on Boussinesq
approximation. The linear stability analysis is applied to the governing equations.
The resulting eigenvalue obtained are solved numerically using single-term Galerkin
method with respect to different velocities and temperature conditions. The systems
considered in this analysis are designed in one fluid layer system or saturated in
an anisotropic porous medium. The mathematical model is then extended in a
viscoelastic fluid where the oscillatory mode was presented. The Darcy model is
used to describe the flow regime in the porous medium while the Oldroyd model is
implemented for the viscoelastic fluid.
The impact of temperature dependent viscosity, double diffusive coefficients, vertical
magnetic field, feedback control, Coriolis force, and internal heat generation,
anisotropic and viscoelastic parameters on the onset of Rayleigh-B´enard in the system
are analyzed and presented graphically. It is found that an increase of the temperature
dependent viscosity, Soret number, Lewis number always delayed the onset
of convection in the system, meanwhile elevating the effects of vertical magnetic
field, Dufour number, Coriolis force, feedback control, and solutal Rayleigh number
hastened the instability of the system. For the effect of mechanical anisotropic on the
porous medium, results show that the mechanical anisotropy destabilizes the system
while the thermal anisotropy stabilizes the porous system. The effect of stress relaxation
and strain retardation in the oscillatory mode of convection in the viscoelastic
fluid were also discussed. Findings revealed that the critical Rayleigh-B´enard increased
as the stress relaxation decreased and strain retardation increased. |
| first_indexed | 2025-11-15T12:54:50Z |
| format | Thesis |
| id | upm-90346 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:54:50Z |
| publishDate | 2019 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-903462021-12-01T06:46:22Z http://psasir.upm.edu.my/id/eprint/90346/ Temperature dependent viscosity effect on stability convection of double diffusive binary fluid Zainal Abidin, Nurul Hafizah In this thesis, the thermal instability in a double diffusive binary fluid with temperature dependent viscosity effect is formulated mathematically based on Boussinesq approximation. The linear stability analysis is applied to the governing equations. The resulting eigenvalue obtained are solved numerically using single-term Galerkin method with respect to different velocities and temperature conditions. The systems considered in this analysis are designed in one fluid layer system or saturated in an anisotropic porous medium. The mathematical model is then extended in a viscoelastic fluid where the oscillatory mode was presented. The Darcy model is used to describe the flow regime in the porous medium while the Oldroyd model is implemented for the viscoelastic fluid. The impact of temperature dependent viscosity, double diffusive coefficients, vertical magnetic field, feedback control, Coriolis force, and internal heat generation, anisotropic and viscoelastic parameters on the onset of Rayleigh-B´enard in the system are analyzed and presented graphically. It is found that an increase of the temperature dependent viscosity, Soret number, Lewis number always delayed the onset of convection in the system, meanwhile elevating the effects of vertical magnetic field, Dufour number, Coriolis force, feedback control, and solutal Rayleigh number hastened the instability of the system. For the effect of mechanical anisotropic on the porous medium, results show that the mechanical anisotropy destabilizes the system while the thermal anisotropy stabilizes the porous system. The effect of stress relaxation and strain retardation in the oscillatory mode of convection in the viscoelastic fluid were also discussed. Findings revealed that the critical Rayleigh-B´enard increased as the stress relaxation decreased and strain retardation increased. 2019-10 Thesis NonPeerReviewed text en http://psasir.upm.edu.my/id/eprint/90346/1/IPM%202020%204%20ir.pdf Zainal Abidin, Nurul Hafizah (2019) Temperature dependent viscosity effect on stability convection of double diffusive binary fluid. Doctoral thesis, Universiti Putra Malaysia. Heat - Convection Thermal diffusivity Fluid mechanics |
| spellingShingle | Heat - Convection Thermal diffusivity Fluid mechanics Zainal Abidin, Nurul Hafizah Temperature dependent viscosity effect on stability convection of double diffusive binary fluid |
| title | Temperature dependent viscosity effect on stability convection of double diffusive binary fluid |
| title_full | Temperature dependent viscosity effect on stability convection of double diffusive binary fluid |
| title_fullStr | Temperature dependent viscosity effect on stability convection of double diffusive binary fluid |
| title_full_unstemmed | Temperature dependent viscosity effect on stability convection of double diffusive binary fluid |
| title_short | Temperature dependent viscosity effect on stability convection of double diffusive binary fluid |
| title_sort | temperature dependent viscosity effect on stability convection of double diffusive binary fluid |
| topic | Heat - Convection Thermal diffusivity Fluid mechanics |
| url | http://psasir.upm.edu.my/id/eprint/90346/ http://psasir.upm.edu.my/id/eprint/90346/1/IPM%202020%204%20ir.pdf |