scholarly journals Numerical studies of thermal convection with temperature- and pressure-dependent viscosity at extreme viscosity contrasts

2015 ◽  
Vol 27 (7) ◽  
pp. 076603 ◽  
Author(s):  
Tania S. Khaleque ◽  
A. C. Fowler ◽  
P. D. Howell ◽  
M. Vynnycky
Keyword(s):  
Thermal Convection ◽  
Numerical Studies ◽  
Pressure Dependent Viscosity ◽  
Temperature And Pressure ◽  
Dependent Viscosity

scholarly journals GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE-STRESS FLUID WITH TEMPERATURE AND PRESSURE DEPENDENT VISCOSITY

2013 ◽  
Vol 35 (3) ◽  
pp. 85-102 ◽  
Author(s):  
◽  
Shalu Choudhary ◽  
P. K. Bharti
Keyword(s):  
Couple Stress ◽  
Linear Instability ◽  
Optimal Result ◽  
Onset Of Convection ◽  
Stability Threshold ◽  
Instability Theory ◽  
Pressure Dependent Viscosity ◽  
Temperature And Pressure ◽  
Dependent Viscosity ◽  
Instability Boundary

Abstract We show that the global nonlinear stability threshold for convection in a couple-stress fluid with temperature and pressure dependent viscosity is exactly the same as the linear instability boundary. This optimal result is important because it shows that linearized instability theory has captured completely the physics of the onset of convection. It has also been found that the couplestress fluid is more stable than the ordinary viscous fluid and then the effect of couple-stress parameter (F) and variable dependent viscosity (Γ) on the onset of convection is also analyzed.

Conditional stability for thermal convection in a rotating couple-stress fluid saturating a porous media with temperature- and pressure-dependent viscosity using a thermal non-equilibrium model

2014 ◽  
Vol 39 (2) ◽  
Author(s):  
Sunil ◽  
Shalu Choudhary ◽  
Amit Mahajan
Keyword(s):  
Equilibrium Model ◽  
Couple Stress ◽  
Linear Instability ◽  
Couple Stress Fluid ◽  
Conditional Stability ◽  
Onset Of Convection ◽  
Pressure Dependent Viscosity ◽  
Temperature And Pressure ◽  
Dependent Viscosity ◽  
Non Equilibrium

Abstract.A nonlinear stability threshold for convection in a rotating couple-stress fluid saturating a porous medium with temperature- and pressure-dependent viscosity using a thermal non-equilibrium model is found to be exactly the same as the linear instability boundary. This optimal result is important because it shows that linear theory has completely captured the physics of the onset of convection. The effects of couple-stress fluid parameter

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