The onset of convection in a binary fluid mixture with temperature dependent viscosity and Coriolis force with Soret presence

2017 ◽  
Author(s):  
Nurul Hafizah Zainal Abidin ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Zanariah Abdul Majid ◽  
Siti Salwa Abd Ghani
Keyword(s):  
Coriolis Force ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Onset Of Convection ◽  
Fluid Mixture ◽  
Binary Fluid ◽  
Dependent Viscosity

scholarly journals Effect of Soret and Temperature Dependent Viscosity on Thermohaline Convection in a Ferrofluid Saturating a Porous Medium

2014 ◽  
Vol 19 (2) ◽  
pp. 321-336
Author(s):  
R. Sekar ◽  
K. Raju
Keyword(s):  
Porous Medium ◽  
Fluid Layer ◽  
Effect Of Temperature ◽  
Stationary Mode ◽  
Free Boundaries ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Onset Of Convection ◽  
Wide Range ◽  
Dependent Viscosity

Abstract Soret driven ferrothermoconvective instability in multi-component fluids has a wide range of applications in heat and mass transfer. This paper deals with the theoretical investigation of the effect of temperature dependent viscosity on a Soret driven ferrothermohaline convection heated from below and salted from above subjected to a transverse uniform magnetic field in the presence of a porous medium. The Brinkman model is used in the study. It is found that the stationary mode of instability is preferred. For a horizontal fluid layer contained between two free boundaries an exact solution is examined using the normal mode technique for a linear stability analysis. The effect of salinity has been included in magnetization and density of the fluid. The critical thermal magnetic Rayleigh number for the onset of instability is obtained numerically for sufficiently large values of the buoyancy magnetization parameter M1 using the method of numerical Galerkin technique. It is found that magnetization and permeability of the porous medium destabilize the system. The effect of temperature dependent viscosity stabilizes the system on the onset of convection.

scholarly journals Surface deformation on thermocapillary convection in a binary fluid with internal heat generation and temperature dependent viscosity

2018 ◽  
Vol 7 (2.15) ◽  
pp. 86
Author(s):  
Nurul Hafizah Zainal Abidin ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Nur Zarifah Abdul Hamid ◽  
Zanariah Abdul Majid
Keyword(s):  
Heat Generation ◽  
Thermocapillary Convection ◽  
Surface Deformation ◽  
Fluid Layer ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Binary Fluid ◽  
Dependent Viscosity

The effects of temperature dependent viscosity and internal heat generation on the onset of steady Bénard-Marangoni convection in a horizontal binary fluid layer heated from below is investigated theoretically. The upper free surface is assumed to be deformable and the lower boundary is considered to be rigid and perfectly insulated to temperature perturbations. The asymptotic solution of the long wavelength is obtained using regular perturbation method with wave number as a perturbation parameter. It is found that the surface deformation of a binary fluid layer enhances the onset of thermocapillary convection while increasing the value of internal heat generation and temperature dependent viscosity will destabilize the binary fluid layer system. 

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

2019 ◽  
Vol 9 (4) ◽  
pp. 413-421
Author(s):  
Nurul Hafizah Zainal Abidin ◽  
◽  
Nor Fadzillah Mohd Mokhtar ◽  
Zanariah Abdul Majid ◽  
◽  
...  
Keyword(s):  
Fluid Layer ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Binary Fluid ◽  
Dependent Viscosity ◽  
Double Diffusive

Onset of convection in a variable-viscosity fluid

1982 ◽  
Vol 120 ◽  
pp. 411-431 ◽  
Author(s):  
Karl C. Stengel ◽  
Dean S. Oliver ◽  
John R. Booker
Keyword(s):  
Rayleigh Number ◽  
Viscosity Ratio ◽  
Variable Viscosity ◽  
Critical Rayleigh Number ◽  
Horizontal Layer ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Onset Of Convection ◽  
Numerical Predictions ◽  
Dependent Viscosity

The Rayleigh number R, in a horizontal layer with temperature-dependent viscosity can be based on the viscosity at T0, the mean of the boundary temperatures. The critical Rayleigh number Roc for fluids with exponential and super-exponential viscosity variation is nearly constant at low values of the ratio of the viscosities at the top and bottom boundaries; increases at moderate values of the viscosity ratio, reaching a maximum at a ratio of about 3000, and then decreases. This behaviour is explained by a simple physical argument based on the idea that convection begins first in the sublayer with maximum Rayleigh number. The prediction of Palm (1960) that certain types of temperature-dependent viscosity always decrease Roc is confirmed by numerical results but is not relevant to the viscosity variations typical of real liquids. The infinitesimal-amplitude state assumed by linear theory in calculating Roc does not exist because the convection jumps immediately to a finite amplitude at R0c. We observe a heat-flux jump at R0c exceeding 10% when the viscosity ratio exceeds 150. However, experimental measurements of R0c for glycerol up to a viscosity ratio of 3400 are in good agreement with the numerical predictions when the effects of a temperature-dependent expansion coefficient and thermal diffusivity are included.

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