Effect of Time-Periodic Boundary Temperature Modulations on the Onset of Convection in a Maxwell Fluid–Nanofluid Saturated Porous Layer

2016 ◽  
pp. 221-245
Author(s):  
Jawali C. Umavathi ◽  
Kuppalapalle Vajravelu ◽  
Prashant G. Metri ◽  
Sergei Silvestrov
Keyword(s):  
Porous Layer ◽  
Periodic Boundary ◽  
Maxwell Fluid ◽  
Onset Of Convection ◽  
Boundary Temperature ◽  
Saturated Porous Layer ◽  
Time Periodic

TRIPLE DIFFUSIVE CONVECTION IN A MAXWELL FLUID SATURATED POROUS LAYER: DARCY- BRINKMAN-MAXWELL MODEL

2016 ◽  
Vol 19 (10) ◽  
pp. 871-883
Author(s):  
Jyoti Prakash ◽  
Kultaran Kumari ◽  
Rajeev Kumar
Keyword(s):  
Porous Layer ◽  
Maxwell Fluid ◽  
Maxwell Model ◽  
Diffusive Convection ◽  
Saturated Porous Layer

Onset of Triply Diffusive Convection in a Maxwell Fluid Saturated Porous Layer

2013 ◽  
Vol 353-356 ◽  
pp. 2580-2585 ◽  
Author(s):  
Mo Li Zhao ◽  
Shao Wei Wang ◽  
Qiang Yong Zhang
Keyword(s):  
Porous Layer ◽  
Normal Mode Analysis ◽  
Lewis Number ◽  
Maxwell Fluid ◽  
Maxwell Model ◽  
Mode Analysis ◽  
Analysis Model ◽  
Diffusive Convection ◽  
Saturated Porous Layer ◽  
Triply Diffusive Convection

The linear stability of triply diffusive convection in a binary Maxwell fluid saturated porous layer is investigated. Applying normal mode analysis , the criterion for the onset of stationary and oscillatory convection is obtained. The modified Darcy-Maxwell model is used as the analysis model. This allows us to make a thorough investigation of the processes of viscoelasticity and diffusions that causes the convection to set in through oscillatory rather than stationary. The effects of the parameters of Vadasz number, normalized porosity parameter, relaxation parameter, Lewis number and solute Rayleigh number are presented.

Stability of a Horizontal Porous Layer with Timewise Periodic Boundary Conditions

1979 ◽  
Vol 101 (2) ◽  
pp. 244-248 ◽  
Author(s):  
B. Chhuon ◽  
J. P. Caltagirone
Keyword(s):  
Porous Layer ◽  
Periodic Boundary ◽  
Lower Boundary ◽  
Periodic Boundary Conditions ◽  
Temperature Oscillation ◽  
Linear Stability Theory ◽  
Onset Of Convection ◽  
Thermal Signal ◽  
Periodic Temperature ◽  
The Stability

The stability of a horizontal porous layer bounded by two impermeable planes is investigated. A time dependent periodic temperature profile is imposed on the lower boundary while the upper plane is kept at constant temperature. Starting from the preconvective temperature distribution, and using the linear stability theory, a criterion for the onset of convection is defined as a function of the perturbation wavenumber and of the amplitude and frequency of the temperature oscillation. Experimental work with a setup allowing both the amplitude and the frequency of the thermal signal to vary is done. Finally, the equations are also solved numerically and the results are compared to the previous ones. A synthesis of all results is included.

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