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, "Modelling Flows in Multi-Porous Media using Homogenization with application to Liver Lobe Perfusion", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 148, 2015. doi:10.4203/ccp.108.148

Keywords: double-porous material, Darcy flow, Stokes flow, homogenization, periodic unfolding.

Summary

The paper deals with modelling the flow of viscous incompressible fluid in multiporous media using the homogenization method. The double-porous structures are described at two characteristic scales: the higher level porosity associated with the mesoscopic structure is constituted by channels in a skeleton structure which is made of a microporous material. Alternatively, the mesoscopic pores are populated by another porous material. In this case the homogenization leads to the mesoscopic Darcy flow model with large contrasts in the permeability coefficients. Its upscaling has been previously treated for two different topologies of the mesoscopic structure taking into account skeleton poroelasticity. The present paper is focused on the two-level upscaling of the flow in the rigid double-porous structure. The mesoscopic model is identical one previously proposed by others. The second-level upscaling leading to a macroscopic flow model is the new result of this paper. Its application to modelling perfusion of the liver tissue is discussed.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 108 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Paper 148 Modelling Flows in Multi-Porous Media using Homogenization with application to Liver Lobe Perfusion E. Rohan, J. Turjanicová and V. Lukeš New Technologies for Information Society, European Centre of Excellence, Faculty of Applied Sciences, University of West Bohemia, Plzen, Czech Republic doi:10.4203/ccp.108.148 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Modelling Flows in Multi-Porous Media using Homogenization with application to Liver Lobe Perfusion", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 148, 2015. doi:10.4203/ccp.108.148 Keywords: double-porous material, Darcy flow, Stokes flow, homogenization, periodic unfolding. Summary The paper deals with modelling the flow of viscous incompressible fluid in multiporous media using the homogenization method. The double-porous structures are described at two characteristic scales: the higher level porosity associated with the mesoscopic structure is constituted by channels in a skeleton structure which is made of a microporous material. Alternatively, the mesoscopic pores are populated by another porous material. In this case the homogenization leads to the mesoscopic Darcy flow model with large contrasts in the permeability coefficients. Its upscaling has been previously treated for two different topologies of the mesoscopic structure taking into account skeleton poroelasticity. The present paper is focused on the two-level upscaling of the flow in the rigid double-porous structure. The mesoscopic model is identical one previously proposed by others. The second-level upscaling leading to a macroscopic flow model is the new result of this paper. Its application to modelling perfusion of the liver tissue is discussed. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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