The role of porous media in modeling flow and heat transfer in biological tissues

Khaled, A.-R. A.; Vafai, Kambiz

doi:10.1016/s0017-9310(03)00301-6

Cited by 653 publications

(362 citation statements)

References 61 publications

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“…The theory of porous media for heat transfer in biological tissues was used in this study (Khaled and Vafaib, 2003). The problem was formulated as a two steps Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/jbiomech www.JBiomech.com model.…”

Section: Model Of Heat Transfer In Cartilagementioning

confidence: 99%

Impact of synovial fluid flow on temperature regulation in knee cartilage

Moghadam

Abdel-Sayed

Camine

et al. 2015

Journal of Biomechanics

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a b s t r a c tSeveral studies have reported an increase of temperature in cartilage submitted to cyclic sinusoidal loading. The temperature increase is in part due to the viscous behavior of this tissue, which partially dissipates the input mechanical energy into heat. While the synovial fluid flow within the intra-articular gap and inside the porous cartilage is supposed to play an important role in the regulation of the cartilage temperature, no specific study has evaluated this aspect. In the present numerical study, a poroelastic model of the knee cartilage is developed to evaluate first the temperature increase in the cartilage due to dissipation and second the impact of the synovial fluid flow in the cartilage heat transfer phenomenon. Our results showed that, the local temperature is effectively increased in knee cartilage due to its viscous behavior. The synovial fluid flow cannot significantly preventing this phenomenon. We explain this result by the low permeability of cartilage and the moderate fluid exchange at the surface of cartilage under deformation.

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Section: Model Of Heat Transfer In Cartilagementioning

confidence: 99%

Impact of synovial fluid flow on temperature regulation in knee cartilage

Moghadam

Abdel-Sayed

Camine

et al. 2015

Journal of Biomechanics

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“…Unlike Darcy's law, Brinkman's equation can characterise the flow around solid obstacles embedded in a porous material (Khaled and Vafai, 2003). In particular, the additional term ⌫r 2 u accounts for the formation of boundary layers in the vicinity of solid obstacles.…”

Section: Unsteady Brinkman's Equationmentioning

confidence: 99%

A combined numerical and experimental framework for determining permeability properties of the arterial media

Comerford

Chooi

Nowak

et al. 2014

Biomech Model Mechanobiol

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The medial layer of the arterial wall may play an important role in the regulation of water and solute transport across the wall. In particular, a high medial resistance to transport could cause accumulation of lipid carrying molecules in the inner wall. In this study, the water transport properties of medial tissue were characterised in a numerical model utilising experimentally obtained data for the medial microstructure and the relative permeability of di↵erent constituents. For the model, a new solver for flow in porous materials, based on a high-order splitting scheme, was implemented in the spectral/hp element library nektar++ and validated. The data were obtained by immersing excised aortic bifurcations in a solution of fluorescent protein tracer and subsequently imaging them with a confocal microscope. Cuboidal regions of interest were selected in which the microstructure and relative permeability of di↵erent structures were transformed to a computational mesh. Impermeable objects were treated fictitiously in the numerical scheme. On this cube, a pressure drop was applied in the three coordinate directions and the principal components of the permeability tensor were determined. The reconstructed images demonstrated the arrangement of elastic lamellae and interspersed smooth muscle cells in rat aortic media; the distribution and alignment of the smooth muscle cells varied spatially within the extracellular matrix. The numerical simulations high-

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“…In some diseases, a porous structure is formed inside the arteries, by fatty substances (cholesterol and blood clots), as mentioned by Ritman and Lerman, 17 and Khaled and Vafai. 18 Motivated from these studies, we intend to study the blood flow in a parallel plate channel which has been considered as the model geometry for the artery, as mentioned above. Further, the oscillatory pressure gradient has been considered to model the heart pumping phenomenon, whereas the Darcy-Forchhmeir model has been considered for the porous structure (cholesterol and blood clots) inside the artery.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of MHD pulsatile flow of a biofluid in a channel

2015

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The purpose of this paper is to numerically study the interaction of an external magnetic field with the flow of a biofluid through a Darcy-Forchhmeir porous channel, due to an oscillatory pressure gradient, in the presence of wall transpiration as well as chemical reaction considerations. We have noticed that if the Reynolds number of the wall transpiration flow is increased, the average (or maximum) velocity of the main flow direction is raised. Similar effect has also been observed for the rheological parameter and the Darcy parameter, whereas an opposite trend has been noted for both the Forchheimer quadratic drag parameter and the magnetic parameter. Further, an increase in the Reynolds number results in straightening the concentration profile, thus making it an almost linear function of the dimensionless spatial variable.

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The role of porous media in modeling flow and heat transfer in biological tissues

Cited by 653 publications

References 61 publications

Impact of synovial fluid flow on temperature regulation in knee cartilage

Impact of synovial fluid flow on temperature regulation in knee cartilage

A combined numerical and experimental framework for determining permeability properties of the arterial media

Numerical simulation of MHD pulsatile flow of a biofluid in a channel

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