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Open AccessArticle

Convective Flow in an Aquifer Layer

School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, TX 78539-2999, USA
Author to whom correspondence should be addressed.
Fluids 2017, 2(4), 52;
Received: 28 August 2017 / Revised: 29 September 2017 / Accepted: 29 September 2017 / Published: 8 October 2017
(This article belongs to the Special Issue Convective Instability in Porous Media)
Here, we investigate weakly nonlinear hydrothermal two-dimensional convective flow in a horizontal aquifer layer with horizontal isothermal and rigid boundaries. We treat such a layer as a porous medium, where Darcy’s law holds, subjected to the conditions that the porous layer’s permeability and the thermal conductivity are variable in the vertical direction. This analysis is restricted to the case that the subsequent hydraulic resistivity and diffusivity have a small rate of change with respect to the vertical variable. Applying the weakly nonlinear approach, we derive various order systems and express their solutions. The solutions for convective flow quantities such as vertical velocity and the temperature that arise as the Rayleigh number exceeds its critical value are computed and presented in graphical form. View Full-Text
Keywords: convective flow; aquifer layer; permeability; hydrothermal convective flow; aquifer layer; permeability; hydrothermal
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Bhatta, D.; Riahi, D. Convective Flow in an Aquifer Layer. Fluids 2017, 2, 52.

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