Boundary element method for natural convection in non-Newtonian fluid saturated square porous cavity

Jecl, R.; Škerget, L.

doi:10.1016/s0955-7997(03)00077-8

Cited by 30 publications

(14 citation statements)

References 13 publications

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“…In the present study the extension of the classical Boundary Element Method (BEM) is used, the so called Boundary Domain Integral Method (BDIM) [9,10]. Because in the obtained set of integral equations boundary and domain integrals are present, the discretization of surface and domain is required.…”

Section: Boundary Element Methodsmentioning

confidence: 99%

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Boundary Element Method for double diffusive natural convection in a horizontal porous layer

Kramer¹,

Jecl²,

Skerget³

2007

WIT Transactions on Modelling and Simulation, Vol 44

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A numerical study of double-diffusive natural convection in porous media using the Boundary Element Method is presented. The studied configuration is a horizontal layer filled with fluid saturated porous media, where different temperature and concentration values are applied on the horizontal walls, while the vertical walls are adiabatic and impermeable. Transport phenomena in porous media are described with the use of modified Navier-Stokes equations in the form of conservation laws for mass, momentum, energy and species. The results for different governing parameters (Rayleigh number, Darcy number, buoyancy ratio and Lewis number) are presented and compared with those in published studies.

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Section: Boundary Element Methodsmentioning

confidence: 99%

“…The formulations for the vorticity, temperature and concentration can generally be written as a non-homogeneous elliptic diffusion-convective equation [10]:…”

Section: Velocity-vorticity Formulationmentioning

confidence: 99%

Boundary Element Method for double diffusive natural convection in a horizontal porous layer

Kramer¹,

Jecl²,

Skerget³

2007

WIT Transactions on Modelling and Simulation, Vol 44

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“…The boundary element method (BEM), which has been established for the viscous incompressible fluid motion in porous media [1], is modified and extended to capture the compressible fluid state with restriction to the subsonic flows where the difference in mass density significantly changes the velocity field, but there are no shock waves and no sudden sharp changes in the values of the field functions. Furthermore, the pressure is a thermodynamic quantity, which is temperature and mass density dependent.…”

Section: Introductionmentioning

confidence: 99%

Heat and mass transfer in compressible fluid saturated porous media with the boundary element method

Jecl¹,

Škerget²,

Kramer³

2009

WIT Transactions on the Built Environment

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Most of the studies dealing with transport phenomena in porous media are based on presuming the fluid that saturates the porous domain is incompressible and viscous, where the mass density is a constant quantity, the velocity does not depend on the mass density and pressure is simply a force in the linear momentum equation. However, in numerous natural and engineering systems, density-dependent flow processes play an important role. Besides various applications in the dynamics of pure viscous fluids, such a phenomenon can also be found in subsurface hydrology, geophysics and reservoir mechanics, which are all concerned with problems due to the presence of a permeable solidporous media. In the present work, fully developed boundary element method (BEM) numerical scheme is presented for the simulation of density dependent flow (compressible fluid flow) in porous media with restriction to the subsonic flows. The method is applied to consider heat and mass transfer in a closed porous cavity saturated with compressible fluid, differentially heated under large temperature and concentration gradients. The results in terms of velocity, temperature and species redistribution, as well as the total heat and mass transfer across the cavity, will be presented for different governing parameters.

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“…Besides various applications in the dynamics of pure viscous fluids we find such phenomena also in subsurface hydrology, geophysics, reservoir mechanics, which are all the problems concerning a presence of a permeable solid-porous media. In this work, the boundary element method, which has been established for the viscous incompressible fluid motion in porous media [1], is modified and extended to capture the compressible fluid state with restriction to the subsonic flows. That means that the difference in mass density significantly changes the velocity field but there are no shock waves and no sudden sharp changes in the values of the field functions.…”

Section: Introductionmentioning

confidence: 99%

BEM for compressible convection flow in porous media

Jecl¹,

Škerget²,

Kramer³

2008

Advances in Fluid Mechanics VII

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A boundary element method numerical scheme for simulation of compressible (density depended) fluid flow in porous media is presented. The fluid flow is modelled applying the Brinkman extended Darcy momentum equation, which is commonly used when it is important to satisfy the no-slip boundary condition on impermeable surfaces that bound the porous media domain. The model is applied to consider buoyancy driven flow in a closed porous cavity, differentially heated under large temperature gradients. The density is to be regarded as a dependent thermodynamic variable. The results in terms of velocity and temperature redistribution as well as the total heat transfer across the cavity are presented for different governing parameters.

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Boundary element method for natural convection in non-Newtonian fluid saturated square porous cavity

Cited by 30 publications

References 13 publications

Boundary Element Method for double diffusive natural convection in a horizontal porous layer

Boundary Element Method for double diffusive natural convection in a horizontal porous layer

Heat and mass transfer in compressible fluid saturated porous media with the boundary element method

BEM for compressible convection flow in porous media

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