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Double diffusive convection in a horizontal sparcely packed porous layer

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TLDR
In this article, a linear stability analysis for the problem of double diffusion in a horizontal layer of sparcely packed porous medium is presented and the critical parameters of the problem are determined and the boundaries defining the regions of direct and overstable modes are obtained.
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This article is published in International Communications in Heat and Mass Transfer.The article was published on 1986-09-01. It has received 93 citations till now. The article focuses on the topics: Double diffusive convection & Darcy's law.

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Citations
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Journal ArticleDOI

Compositional convection in a reactive crystalline mush and melt differentiation

TL;DR: In this paper, the authors describe experiments on the directional solidification of aqueous ammonium chloride solutions, where the addition of small amounts of a polymerizing agent permits variation of the solution viscosity independently of thermal conditions, phase diagram, and permeability.
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Numerical study of double-diffusive natural convection in a porous cavity using the Darcy-Brinkman formulation

TL;DR: In this paper, the authors deal with natural convection in confined porous media, driven by cooperating thermal and solutal buoyancy forces, and the results are mainly analyzed in terms of the average heat and mass transfers at the walls of the enclosure.
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Thermosolutal convection in a horizontal porous layer heated from below in the presence of a horizontal through flow

TL;DR: In this paper, the effect of a homogeneous longitudinal through flow on the onset of convection in a horizontal porous layer saturated by a binary fluid and heated from below or above was investigated.
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Double-diffusive and Soret-induced convection in a shallow horizontal porous layer

TL;DR: In this article, an analytical and numerical study of the natural convection in a horizontal porous layer filled with a binary fluid is presented. But the authors assume that the solutal buoyancy forces are induced either by the imposition of constant fluxes of mass on the horizontal walls (double-diffusive convection, $a\,{=}\,0$ ) or by temperature gradients (Soret effects,$a \,{ =}\,1$ ).
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Multiple solutions for double-diffusive convection in a vertical porous enclosure

TL;DR: In this article, a numerical study is made of double-diffusive natural convection in a rectangular fluid-saturated vertical porous enclosure, where the flows are driven by conditions of uniform heat and mass fluxes imposed along the two vertical side walls of the cavity where the two buoyancy effects can either augment or counteract each other.
References
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Book

Buoyancy Effects in Fluids

J. S. Turner
TL;DR: In this article, the authors introduce linear internal waves and herar flows in a stratified fluid and double-diffusive convection in stably stratified fluids, and show that the shear flows can produce turbulence.
Journal ArticleDOI

A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

TL;DR: In this paper, the viscous force exerted by a flowing fluid on a dense swarm of particles is described by a modification of Darcy's equation, which was necessary in order to obtain consistent boundary conditions.
Journal ArticleDOI

Convection Currents in a Porous Medium

TL;DR: In this paper, it was shown that the minimum temperature gradient for which convection can occur is approximately 4π2h2μ/kgρ0α D2, where h2 is the thermal diffusivity, g is the acceleration of gravity, μ is the viscosity, k is the permeability, α is the coefficient of cubical expansion, ρ 0 is the density at zero temperature, and D is the thickness of the layer; this exceeds the limiting gradient found by Rayleigh for a simple fluid by a factor of 16D2/27π2
Book ChapterDOI

Heat Transfer in Geothermal Systems

TL;DR: In this paper, the authors discuss the mathematical formulation of convective heat transfer in geothermal systems and the prediction of reservoir behavior under production can be obtained by idealizing it as a saturated porous medium.
Journal ArticleDOI

Onset of Thermohaline Convection in a Porous Medium

TL;DR: In this article, the problem of the onset of convection, induced by buoyancy effects resulting from vertical thermal and solute concentration gradients, in a horizontal layer of a saturated porous medium, is treated by linear perturbation analysis.
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Double diffusive convection in porous medium

The paper discusses the phenomenon of double diffusive convection in a horizontal layer of sparcely packed porous medium using a linear stability analysis.