Boundary domain integral method for the study of double diffusive natural convection in porous media

Kramer, J.; Jecl, R.; Škerget, L.

doi:10.1016/j.enganabound.2007.04.001

Cited by 26 publications

(9 citation statements)

References 16 publications

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“…The interface conditions providing field variable continuity and flux conservation are imposed on each interface. Among those approaches, we mention here the Green element method (GEM) introduced by Taigbenu [1][2][3], the boundary-domain integral method (BDIM) introduced by Škerget and collaborators [4][5][6][7] and the dual reciprocity method-multi domain (DRM-MD) approach introduced by Popov and Power [8][9][10][11][12][13][14][15][16]. In all cases the authors reported improvements compared to the classical single domain BEM in terms of reduced memory, reduced CPU requirements and increased accuracy.…”

Section: Introductionmentioning

confidence: 99%

Domain decomposition boundary element method with overlapping sub-domains

Thanh

Popov

2009

Engineering Analysis with Boundary Elements

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Section: Introductionmentioning

confidence: 99%

Domain decomposition boundary element method with overlapping sub-domains

Thanh

Popov

2009

Engineering Analysis with Boundary Elements

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“…With decrease in Da the infl uence of Brinkman term becomes almost negligible; consequently, the inertial effect becomes signifi cant due to high fl uid velocity. The infl uence of Darcy term is investigated in [19] for the case of 2D double-diffusive natural convection in porous media and in [20] for the case of 3D natural convection in porous cube.…”

Section: Governing Equationsmentioning

confidence: 99%

Three-dimensional double-diffusive natural convection with opposing buoyancy effects in porous enclosure by Boundary Element Method

Kramer¹,

Ravnik²,

Jecl³

et al. 2013

Int. J. CMEM

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A three-dimensional double-diffusive natural convection with opposing buoyancy effects in a cubic enclosure fi lled with fl uid saturated porous media is studied numerically using the boundary element method (BEM). The mathematical model is based on the space-averaged Navier-Stokes equations, which are coupled with the energy and species equations. The simulation of coupled laminar viscous fl ow, heat and solute transfer is performed using a combination of single-domain BEM and subdomain BEM, which solves the velocity-vorticity formulation of governing equations. The numerical simulations for a case of negative values of buoyancy coeffi cient are presented, focusing on the situations where the fl ow fi eld becomes three-dimensional. The results are analyzed in terms of the average heat and mass transfer at the walls of the enclosure. When possible, the results are compared with previous existing numerical data published in literature.

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“…Considerable effort has been directed toward heat-transfer studies for natural convection in porous media [26][27][28][29][30]. Oztop [31] studied the heat transfer with natural convection of an inclined partially cooled rectangular enclosure filled with a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Modeling the Natural Convection Flow in a Square Porous Enclosure Filled with a Micropolar Nanofluid under Magnetohydrodynamic Conditions

et al. 2020

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The laminar, natural convective flow of a micropolar nanofluid in the presence of a magnetic field in a square porous enclosure was studied. The micropolar nanofluid is considered to be an electrically conductive fluid. The governing equations of the flow problem are the conservation of mass, energy, and linear momentum, as well as the angular momentum and the induction equations. In the proposed model, the Darcy–Brinkman momentum equations with buoyancy and advective inertia are used. Experimentally obtained forms of the dynamic viscosity, the thermal conductivity, and the electric conductivity are employed. A meshless point collocation method has been applied to numerically solve the flow and transport equations in their vorticity-stream function formulation. The effects of characteristic dimensionless parameters, such as the Rayleigh and Hartmann numbers, for a range of porosity and solid volume fraction of Al2O3 particles in a water-based micropolar nanofluid on the flow and heat transfer in the cavity are investigated. The results indicate that the intensity of the magnetic field significantly affects both the flow and the temperature distributions. Moreover, the addition of nanoparticles deteriorates the heat-transfer efficiency under specific conditions.

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Boundary domain integral method for the study of double diffusive natural convection in porous media

Cited by 26 publications

References 16 publications

Domain decomposition boundary element method with overlapping sub-domains

Domain decomposition boundary element method with overlapping sub-domains

Three-dimensional double-diffusive natural convection with opposing buoyancy effects in porous enclosure by Boundary Element Method

Modeling the Natural Convection Flow in a Square Porous Enclosure Filled with a Micropolar Nanofluid under Magnetohydrodynamic Conditions

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