Influence of temperature dependent viscosity and internal heating on the onset of convection in porous enclosures saturated with viscoelastic fluid

2020 ◽  
Vol 15 (6) ◽  
Author(s):  
Dhananjay Yadav ◽  
Manal Maqhusi
Keyword(s):  
Viscoelastic Fluid ◽  
Temperature Dependent ◽  
Internal Heating ◽  
Temperature Dependent Viscosity ◽  
Onset Of Convection ◽  
Influence Of Temperature ◽  
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.

Unsteady hydromagnetic flow of a viscoelastic fluid with temperature-dependent viscosity

2002 ◽  
Vol 80 (9) ◽  
pp. 1015-1024 ◽  
Author(s):  
A L Aboul-Hassan ◽  
H A Attia
Keyword(s):  
Viscoelastic Fluid ◽  
Energy Equation ◽  
Transverse Magnetic ◽  
Fluid Viscosity ◽  
Hydromagnetic Flow ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Different Temperatures ◽  
Horizontal Pressure ◽  
Dependent Viscosity

The flow of a conducting, viscoelastic fluid between two horizontal porous plates in the presence of a transverse-magnetic field is studied. The plates are assumed to be nonconducting and maintained at two fixed but different temperatures. The fluid viscosity is assumed to be temperature dependent and the fluid is subjected to a uniform suction from above and injection from below. The motion of the fluid is produced by a uniform horizontal pressure gradient. The equation of motion and the energy equation are solved numerically to yield the velocity and temperature distributions. PACS Nos.: 44.05+e, 44.10+i, 44.15+a, 44.20+b, 4435+c, 47.11+j, 47.15-x, 47.15cb, 47.60+i, 47.65+a

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