The Effect of Solute Immobilization on a Stability of a Diffusion Front in Porous Media Under Gravity Field

2015 ◽  
Vol 111 (1) ◽  
pp. 239-251 ◽  
Author(s):  
Boris S. Maryshev ◽  
Tatyana P. Lyubimova ◽  
Dmitrii V. Lyubimov
Fluids ◽  
2019 ◽  
Vol 4 (3) ◽  
pp. 147 ◽  
Author(s):  
Vadasz

A review on instability and consequent natural convection in rotating porous media is presented. Taylor-Proudman columns and geostrophic flows exist in rotating porous media just the same as in pure fluids. The latter leads to a tendency towards two-dimensionality. Natural convection resulting from density gradients in a gravity field as well as natural convection induced by density gradients due to the centripetal acceleration are being considered. The former is the result of gravity-induced buoyancy, the latter is due to centripetally-induced buoyancy. The effect of Coriolis acceleration is also discussed. Linear stability analysis as well as weak nonlinear solutions are being derived and presented.


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