Double-Diffusive Natural Convection in an Enclosure Filled With Fluid-Saturated Porous Medium: A Generalized Non-Darcy Approach

Nithiarasu, Perumal; Seetharamu, K. N.; Sundararajan, T.

doi:10.1080/10407789608913848

Cited by 106 publications

(48 citation statements)

References 9 publications

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“…The steady-state solution consisting of the non-dimensional temperature and concentration fields and the stream function are shown in Figure 4. These results compare very well with those reported in [21]. The time step size used was varied starting from 0.00002 at early times to 0.0005 towards steady-state.…”

Section: Example 1: Double Diffusive Convection In a Constant Porositsupporting

confidence: 77%

“…The main equations to be solved are the momentum, energy and solute equations. A quadratic drag force term is included in addition to the Darcy term in order to allow us to compare the present method with the results given in [21]. The non-dimensional form of the momentum equation with the quadratic drag force is as follows:…”

Section: Example 1: Double Diffusive Convection In a Constant Porositmentioning

confidence: 99%

“…All the example problems for flow in porous media have been taken from Nithiarasu et al [21,22]. We then proceed to model a directional binary alloy solidification example.…”

Section: Numerical Examplesmentioning

confidence: 99%

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A stabilized volume‐averaging finite element method for flow in porous media and binary alloy solidification processes

Zabaras

Samanta

2004

Numerical Meth Engineering

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SUMMARYA stabilized equal-order velocity-pressure finite element algorithm is presented for the analysis of flow in porous media and in the solidification of binary alloys. The adopted governing macroscopic conservation equations of momentum, energy and species transport are derived from their microscopic counterparts using the volume-averaging method. The analysis is performed in a single-domain with a fixed numerical grid. The fluid flow scheme developed includes SUPG (streamline-upwind/PetrovGalerkin), PSPG (pressure stabilizing/Petrov-Galerkin) and DSPG (Darcy stabilizing/PetrovGalerkin) stabilization terms in a variable porosity medium. For the energy and species equations a classical SUPG-based finite element method is employed. The developed algorithms were tested extensively with bilinear elements and were shown to perform stably and with nearly quadratic convergence in high Rayleigh number flows in varying porosity media. Examples are shown in natural and double diffusive convection in porous media and in the directional solidification of a binary-alloy.

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Section: Example 1: Double Diffusive Convection In a Constant Porositsupporting

confidence: 77%

Section: Example 1: Double Diffusive Convection In a Constant Porositmentioning

confidence: 99%

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A stabilized volume‐averaging finite element method for flow in porous media and binary alloy solidification processes

Zabaras

Samanta

2004

Numerical Meth Engineering

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“…Prominent among the latter being geothermal energy resources; nuclear energy systems; petroleum reservoirs; analysis of insulating systems; grain storage; pollutant dispersion in aquifers; the processes of crystal manufacture, foam metals and fibrous media; to name but a few. [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

The Impact of Cylindrical Fuel Assemblies’ Arrangement on the Heat and Mass Transfers into an Horizontal Porous Circular Cylinder

Ragui

Boutra

Benkahla

2015

ILCPA

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ABSTRACT. The present work refers to the investigation of natural convection into an horizontal porous circular cylinder, driven by cooperating thermal and solutal buoyancy forces. The circular cylinder is maintained at constant temperature and concentration lower than that of four inner, heat and solute, ones which are arranged in two different manners. The physical model for the momentum conservation equation makes use of the Brinkman extension of the classical Darcy equation, the set of coupled equations is solved using the finite volume method and the SIMPLER algorithm. Through a parametric study, the effects of the distance between the cylinders on the thermal and solutal characteristics are widely inspected. Then, powerful correlations predicting the mean transfer inside the porous medium as a function of the cylinders' disposition are proposed, which predict within ±1% the numerical results. It is to note that the validity of the computing code used was ascertained by comparing our results with the experimental and the numerical ones already available in the literature.

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“…Prominent among these applications being geothermal energy resources; nuclear energy systems; petroleum reservoirs; analysis of insulating systems; grain storage; pollutant dispersion in aquifers; processes of crystal manufacture, foam metals and fibrous media; to name but a few [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

Ragui¹,

Boutra²,

Benkahla³

et al. 2018

IJHT

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Through our paper, thermosolutal convection of viscoplastic materials 'so called Bingham plastics' which occurs into a porous matrix with an inner pollutant source has been treated numerically, in the aim to light out the impact of some relevant parameters; such Lewis and porous Rayleigh numbers; as well as the buoyancy ratio and the source dimension one; on a such conjugate phenomenon. To do so, the physical model for the momentum conservation equations is made using the Brinkman extension of the classical Darcy equation. The set of coupled equations is solved using the finite volume method and the SIMPLER algorithm. The heat and solute source within the porous space has taken a circular shape. Simply said, our pollutant source is a transport pipe which presented in 2D.To handle the latter in Cartesian Coordinates; the Cartesian Cut-Cell approach was adopted. After a careful treatment of such double-diffusive convection within the Bingham-porous space; powerful expressions that expect the mean transfer rates in such industrial geometry are set forth as a function of the governing parameters. These correlations, which predicted with ±3% the numerical results, may count as a complement to previous Newtonian-fluid researches. It is to note that the validity of the computing code was ascertained by comparing our results with experimental data and numerical ones, already available in the literature.

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Double-Diffusive Natural Convection in an Enclosure Filled With Fluid-Saturated Porous Medium: A Generalized Non-Darcy Approach

Cited by 106 publications

References 9 publications

A stabilized volume‐averaging finite element method for flow in porous media and binary alloy solidification processes

A stabilized volume‐averaging finite element method for flow in porous media and binary alloy solidification processes

The Impact of Cylindrical Fuel Assemblies’ Arrangement on the Heat and Mass Transfers into an Horizontal Porous Circular Cylinder

Circular heat and solute source within a viscoplastic porous enclosure: The critical source dimension for optimum transfers

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