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

Abstract 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...

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Published in:Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine Journal of engineering in medicine, 2008-02, Vol.222 (2), p.185-194
Main Authors: Zeiser, T, Bashoor-Zadeh, M, Darabi, A, Baroud, G
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Bashoor-Zadeh, M
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Baroud, G
description Abstract 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 746μm and between 75 and 2940μm, respectively. The permeability of the flow in the cavities of the specific bone sample was found to be 5.05×10-8 m2 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.
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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 746μm and between 75 and 2940μm, respectively. The permeability of the flow in the cavities of the specific bone sample was found to be 5.05×10-8 m2 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. 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Part H, Journal of engineering in medicine</title><addtitle>Proc Inst Mech Eng H</addtitle><description>Abstract 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. 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2041-3033
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source Sage Journals Online; IMechE Titles Via Sage
subjects Algorithms
Augmentation
Body Fluids - physiology
Bones
Cancellous bone
Computational fluid dynamics
Computer applications
Computer Simulation
Data processing
Deformation mechanisms
Dimensionless analysis
Dimensionless numbers
Elongation
Energy dissipation
Engineers
Experiments
Fluid flow
Geometry
Holes
Humans
Microfluidics - methods
Models, Biological
Orthopedics
Permeability
Pore size
Porosity
Porous media
Pressure
Pressure drop
Readers
Reynolds number
Shear
Simulation
Spinal cord
Spine - physiology
Transport properties
Vertebrae
title Pore-scale analysis of Newtonian flow in the explicit geometry of vertebral trabecular bones using lattice Boltzmann simulation
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