Simulation of 3D flow in porous media by boundary element method

Kramer, J.; Ravnik, Jure; Jecl, R.; Škerget, L.

doi:10.1016/j.enganabound.2011.06.002

Cited by 21 publications

(15 citation statements)

References 27 publications

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“…3 BOUNDARY ELEMENT METHOD The BEM based algorithm is used to solve the governing set of nonlinear partial differential eqns (6), (7) and (8). In order to determine correct values of boundary vorticity, the algorithm is separated into a single-domain and sub-domain parts, where the kinematics equation is solved with the single-domain BEM and gives the boundary vorticity values.…”

Section: Nanofluid Propertiesmentioning

confidence: 99%

“…The sub-domain BEM solves the vorticity and energy transport equations for unknown domain vorticity and temperature values. The algorithm was primarily developed for pure fluid flow simulations [6], [7], and was later adopted for nanofluids [15] as well as for porous media flow simulations [8]. The computational scheme results in a fully populated system of equations, which limits the maximum grid size due to memory constraints.…”

Section: Nanofluid Propertiesmentioning

confidence: 99%

“…The numerical code was proven to be efficient on several applications of pure fluid flow e.g. [6], [7] as well as porous media flow [8]- [10]. The influence of the inclination angle and nanoparticle volume fraction on the convective heat transfer have been analyzed.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Study of Convective Heat Transfer in an Inclined Porous Enclosure Saturated With Nanofluid

Stajnko

Jecl

Ravnik

2018

Advances in Fluid Mechanics XII

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The addition of nanoscale particles into the fluid is recently a common technology used in several industrial processes, since it has been proved that by introducing particles into the working fluid, the heat transfer characteristics can be improved crucially. However, the understanding of fundamental characteristics of nanofluid saturated porous media domains is still limited. The paper presents a numerical study of free convection in a porous enclosure saturated with a nanofluid. A single-phase mathematical model has been employed assuming that the suspension of nanoparticles in fluid can be modelled as a new fluid with effective properties. Fluid flow in porous media is modelled with the macroscopic Navier-Stokes equations, where the governing parameters are averaged over the representative elementary volume. The obtained set of partial differential equations is solved with use of the numerical code based on the Boundary Element Method, which was primarily developed for pure fluid flow applications and was already proved to be efficient for solving several problems of fluid mechanics. Numerical results for different values of governing parameters are obtained, focusing on the effect of different volume fractions of added nanoparticles and different inclination angles of the porous enclosure on the overall heat transfer through porous domain.

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Section: Nanofluid Propertiesmentioning

confidence: 99%

Section: Nanofluid Propertiesmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Study of Convective Heat Transfer in an Inclined Porous Enclosure Saturated With Nanofluid

Stajnko

Jecl

Ravnik

2018

Advances in Fluid Mechanics XII

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“…All governing equations are written in an integral form which is obtained by using the Green's second identity for the unknown field function and for the fundamental solution of the Laplace equation [12,13]. The integral form of all governing equations is given in [14] and is omitted in this paper.…”

Section: Methodsmentioning

confidence: 99%

“…Therefore the governing set of equations is transformed into a velocity-vorticity formulation. The numerical code was already used for several applications of pure fluid flow [12,13], as well as porous media applications [14,15]. Several numerical results are presented in order to analyze the influence of nanofluid in combination with porous media on heat transfer and fluid flow characteristics.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of convective flow in a non-darcy porous cavity filled with nanofluid

Stajnko¹,

Jecl²,

Ravnik³

2016

Int. J. CMEM

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Suspensions of nanoscale particles and fluids have been recently subject of intense research, since it was proved that they considerably improve heat transfer capabilities of the fluid which can be crucial in several technological processes. Several applications can be found in the field of porous media flow, such as oil recovery systems, thermal and geothermal energy, nuclear reactors cooling. Since nanofluids are a mixture of a solid and fluid phase, in general, the two phase mathematical model would be the most appropriate to use. However, due to very small size of nanoparticles (1-100 nm) can be assumed, that they behave as a water molecule and a single phase model along with empirical correlations for nanofluid properties can be used. In the present study a convective flow through porous cavity fully saturated with nanofluid is analyzed in detail using the single phase mathematical model based on the Navier-Stokes equations taking into account the non-Darcy parameters. The mathematical model is written at a macroscopic level enabling the simulation of the porous media flow. The solutions are obtained with the in house numerical code based on the Boundary Element Method, which was already proved to have some unique advantages when considering fluid flow problems in different configurations. The effects of the presence of different types of nanoparticles as well as the porous matrix were investigated in detail for different values of governing parameters in order to examine the improved heat transfer characteristics of added nanoparticles.

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Unsteady Free Convection of Fluid with Variable Viscosity in a Partially Porous Cube Under an Influence of Energy Source

Astanina

Sheremet

2022

Lecture Notes in Mechanical Engineering

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Simulation of 3D flow in porous media by boundary element method

Cited by 21 publications

References 27 publications

Numerical Study of Convective Heat Transfer in an Inclined Porous Enclosure Saturated With Nanofluid

Numerical Study of Convective Heat Transfer in an Inclined Porous Enclosure Saturated With Nanofluid

Numerical simulation of convective flow in a non-darcy porous cavity filled with nanofluid

Unsteady Free Convection of Fluid with Variable Viscosity in a Partially Porous Cube Under an Influence of Energy Source

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