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Naji, M. |
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Motta, Antonella |
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Aletan, Dirar |
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Mohamed, Tarek |
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Ertürk, Emre |
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Taccardi, Nicola |
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Kononenko, Denys |
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Petrov, R. H. | Madrid |
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Alshaaer, Mazen | Brussels |
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Bih, L. |
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Casati, R. |
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Muller, Hermance |
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Kočí, Jan | Prague |
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Šuljagić, Marija |
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Kalteremidou, Kalliopi-Artemi | Brussels |
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Azam, Siraj |
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Ospanova, Alyiya |
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Blanpain, Bart |
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Ali, M. A. |
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Popa, V. |
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Rančić, M. |
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Ollier, Nadège |
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Azevedo, Nuno Monteiro |
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Landes, Michael |
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Rignanese, Gian-Marco |
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Penta, Raimondo
University of Glasgow
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (12/12 displayed)
- 2023Effective governing equations for dual porosity Darcy–Brinkman systems subjected to inhomogeneous body forces and their application to the lymph nodecitations
- 2023Investigating the effects of microstructural changes induced by myocardial infarction on the elastic parameters of the heartcitations
- 2020Effective balance equations for poroelastic compositescitations
- 2020A hierarchical asymptotic homogenization approach for viscoelastic compositescitations
- 2019Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approachcitations
- 2019The role of porosity and solid matrix compressibility on the mechanical behavior of poroelastic tissuescitations
- 2019Macroscopic thermal profile of heterogeneous cancerous breasts. A three-dimensional multiscale analysiscitations
- 2019Homogenized out-of-plane shear response of three-scale fiber-reinforced compositescitations
- 2019Homogenized out-of-plane shear response three-scale fiber-reinforced compositescitations
- 2019An approach for modeling non-ageing linear viscoelastic composites with general periodicitycitations
- 2017The asymptotic homogenization elasticity tensor properties for composites with material discontinuitiescitations
- 2016Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissuescitations
Places of action
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article
Effective governing equations for dual porosity Darcy–Brinkman systems subjected to inhomogeneous body forces and their application to the lymph node
Abstract
<jats:p>We derive the homogenized governing equations for a double porosity system where the fluid flow within the individual compartments is governed by the coupling between the Darcy and the Darcy–Brinkman equations at the<jats:italic>microscale</jats:italic>, and are subjected to inhomogeneous body forces. The homogenized<jats:italic>macroscale</jats:italic>results are obtained by means of the asymptotic homogenization technique and read as a double Darcy differential model with mass exchange between phases. The role of the microstructure is encoded in the effective hydraulic conductivities which are obtained by solving periodic cell problems whose properties are illustrated and compared. We conclude by solving the new model by means of a semi-analytical approach under the assumption of azimuthal axisymmetry to model the movement of fluid within a lymph node.</jats:p>