The nature of flows through porous media

Durst, F.; Haas, R.; Interthal, W.

doi:10.1016/0377-0257(87)80034-4

Cited by 97 publications

(63 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…capillary theories [22]) assume that the pressure drop is caused only by shear forces. However, a more rigorous description is possible, which is based on the mechanical energy balance equation [23], and the total energy dissipation W can be expressed as a sum of two parts, namely the dissipation caused by shear forces and the dissipation caused by deformational strain owing to elongation [24][25][26], according to…”

Section: Pressure Drop and Energy Dissipationmentioning

confidence: 99%

Pore-scale analysis of Newtonian flow in the explicit geometry of vertebral trabecular bones using lattice Boltzmann simulation

Zeiser

Bashoor-Zadeh

Darabi

et al. 2008

Proc Inst Mech Eng H

View full text Add to dashboard Cite

The geometric and transport properties of trabecular bone are of particular interest for medical engineers active in orthopaedic applications and more specifically in hard tissue implantations. This article resorts to computational methods to provide some understanding of the geometric and transport properties of vertebral trabecular bone. A fuzzy distance transform algorithm was used for geometric analysis on the pore scale, and a lattice Boltzmann method (LBM) for the simulation of flow on the same scale. The transport properties of bone including the pressure drop, elongation, and shear component of dissipated energy, and the tortuosity of the bone geometry were extracted from the results of the LBM flow simulations. Whenever suitable, dimensionless numbers were used for the analysis of the data. The average pore size and distribution of the bone were found to be 746 mm and between 75 and 2940 mm, respectively. The permeability of the flow in the cavities of the specific bone sample was found to be 5.0561028 m 2 for the superior-inferior direction which was by a factor of 1.5-1.7 higher than the permeability in the other two anatomical directions (anterior-posterior). These findings are consistent with experimental results found 3 years prior independently. Tortuosity values approached 1.05 for the superior-inferior direction, and 1.13 and 1.11 for the other two perpendicular directions. The low tortuosities result mainly from the large bone porosity of 0.92. The flow on the pore scale seems to be shear dominated but 30 per cent of the energy dissipation was because of elongational effects. The converging and diverging geometry of the bone explains the significant elongation and deformation of the fluid elements. The transition from creeping flow (the Darcy regime), which is of interest to vertebral augmentation and this study, to the laminar region with significant inertia effects took place at a Reynolds number of about 1-10, as usual for porous media. Finally, the authors wish to advise the readers on the significant computational requirements to be allocated to such a virtual test bench.

show abstract

Section: Pressure Drop and Energy Dissipationmentioning

confidence: 99%

Pore-scale analysis of Newtonian flow in the explicit geometry of vertebral trabecular bones using lattice Boltzmann simulation

Zeiser

Bashoor-Zadeh

Darabi

et al. 2008

Proc Inst Mech Eng H

View full text Add to dashboard Cite

show abstract

“…One model to determine k is by approximating the porous medium to a collection of parallel pipes and assuming laminar Poiseuille like flow. This model, however, exhibits large discrepancy between experiment and theory (Durst et al 1987) and underpredicts pressure drops, necessitating the introduction of correction factors. Another geometrical model uses various arrangements of spheres (Durst et al 1987) and describes the complex tortuous nature of porous media more accurately and shows good agreement between experimental (Rodriguez et al 1993) and numerical (Bernsdorf et al 2000) results.…”

Section: Macroscopic Modelmentioning

confidence: 96%

Modelling of Power-law Fluid Flow Through Porous Media Using Smoothed Particle Hydrodynamics

Vakilha

Manzari

2008

Transp Porous Med

View full text Add to dashboard Cite

The flow of non-Newtonian fluids through two-dimensional porous media is analyzed at the pore scale using the smoothed particle hydrodynamics (SPH) method. A fully explicit projection method is used to simulate incompressible flow. This study focuses on a shear-thinning power-law model (n < 1), though the method is sufficiently general to include other stress-shear rate relationships. The capabilities of the proposed method are demonstrated by analyzing a Poiseuille problem at low Reynolds numbers. Two test cases are also solved to evaluate validity of Darcy's law for power-law fluids and to investigate the effect of anisotropy at the pore scale. Results show that the proposed algorithm can accurately simulate non-Newtonian fluid flows in porous media.

show abstract

“…The friction coefficient k in this momentum balance was experimentally determined by Durst for spherical particles as 182 [4]. The temperature and concentration dependence of the dynamic viscosity of the fluid l is described by the following equation [5]:…”

Section: Model Equationsmentioning

confidence: 99%

Heat Transfer and Hydrodynamics in Preparative Continuous Annular Chromatography (P-CAC)

Brozio

Bart²

2000

Chem. Eng. Technol.

View full text Add to dashboard Cite

The nature of flows through porous media

Cited by 97 publications

References 3 publications

Pore-scale analysis of Newtonian flow in the explicit geometry of vertebral trabecular bones using lattice Boltzmann simulation

Pore-scale analysis of Newtonian flow in the explicit geometry of vertebral trabecular bones using lattice Boltzmann simulation

Modelling of Power-law Fluid Flow Through Porous Media Using Smoothed Particle Hydrodynamics

Heat Transfer and Hydrodynamics in Preparative Continuous Annular Chromatography (P-CAC)

Contact Info

Product

Resources

About