The variable gravity field and viscous dissipation effects on the double diffusive and Soret driven convective instability in a porous layer with throughflow

2020 ◽  
pp. 105050
Author(s):  
Srinivasacharya Darbhasayanam ◽  
Dipak Barman
Keyword(s):  
Gravity Field ◽  
Viscous Dissipation ◽  
Porous Layer ◽  
Convective Instability ◽  
Variable Gravity ◽  
Double Diffusive

Effect of a Variable Gravity Field on Convection in an Anisotropic Porous Medium With Internal Heat Source and Inclined Temperature Gradient

2001 ◽  
Vol 124 (1) ◽  
pp. 144-150 ◽  
Author(s):  
Sherin M. Alex ◽  
Prabhamani R. Patil
Keyword(s):  
Temperature Gradient ◽  
Heat Source ◽  
Gravity Field ◽  
Convective Instability ◽  
Opposite Effect ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Anisotropic Porous Medium ◽  
Variable Gravity ◽  
Inclined Temperature Gradient

The convective instability of a horizontal fluid-saturated anisotropic porous layer, with internal heat source and inclined temperature gradient, subject to a gravity field varying with distance in the layer, is investigated. A linear stability analysis is performed and the resulting eigenvalue problem solved using a Galerkin technique. In the absence of an inclined temperature gradient, an increase in the variable gravity parameter above −1 destabilizes the system. In its presence interesting developments occur. An increase in the heat generation destabilizes the system when the variable gravity parameter is nonnegative. When it is negative the opposite effect is seen.

Effects of Variable Gravity Field on the Onset of Ferroconvection in an Anisotropic Porous Layer

2021 ◽  
pp. 851-861
Author(s):  
S. Kiran ◽  
Y. H. Gangadharaiah ◽  
H. Nagarathnamma ◽  
R. Padmavathi
Keyword(s):  
Gravity Field ◽  
Porous Layer ◽  
Variable Gravity

scholarly journals VARIABLE GRAVITY FIELD AND THROUGHFLOW EFFECTS ON PENETRATIVE CONVECTION IN A POROUS LAYER

2013 ◽  
Vol 5 (3) ◽  
pp. 172-191 ◽  
Author(s):  
Gangadharaiah Y. H. ◽  
Suma S. P ◽  
Ananda K.
Keyword(s):  
Porous Medium ◽  
Gravity Field ◽  
Porous Layer ◽  
Perturbation Technique ◽  
Internal Heat ◽  
Wave Number ◽  
Penetrative Convection ◽  
Variable Gravity ◽  
Vertical Throughflow ◽  
The Stability

The effect of vertical throughflow and variable gravity field on the onset of penetrative convection simulated via internal heating in a porous medium is studied. Flow in the porous medium is governed by Forchheimer-extended Darcy equation. The boundaries are considered to be rigid, however permeable, and insulated to temperature perturbations. The eigen value problem is solved using a regular perturbation technique with wave number as a perturbation parameter. The variable gravity parameter, the direction of throughflow and the presence of volumetric internal heat source in a porous layer play a decisive role on the stability characteristics of the system. In addition, the influence of Prandtl number arising due to throughflow is also emphasized on the stability of the system. It is observed that both stabilizing and destabilizing factors can be enhanced due to the simultaneous presence of a volumetric source, gravity field and vertical throughflow so that a more precise control (suppress or augment) of thermal convective instability in a layer of porous medium is possible.

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