By V. Girault, G. Kanschat, B. Rivière (auth.), José A. Ferreira, Sílvia Barbeiro, Gonçalo Pena, Mary F. Wheeler (eds.)
This quantity provides a variety of survey and examine articles in accordance with invited lectures and contributed talks offered on the Workshop on Fluid Dynamics in Porous Media that used to be held in Coimbra, Portugal, in September 12-14, 2011. The contributions are dedicated to mathematical modeling, numerical simulation and their functions, supplying the readers a cutting-edge assessment at the most modern findings and new demanding situations at the subject. The e-book contains examine paintings of globally well-known leaders of their respective fields and provides advances in either thought and functions, making it beautiful to an enormous variety of viewers, particularly mathematicians, engineers and physicists.
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Extra resources for Modelling and Simulation in Fluid Dynamics in Porous Media
The volume of the j-phase contained in the representative elementary bulk volume is V j . The j-phase can interact with the other phases (solid and fluid) in various ways. The bulk-volume (superficial) average of a property f of the j-phase is given by [11, 18, 20] 1 f j dV. (6) fj b = Vb V j The individual phase-volume (intrinsic) average of a property f of the j-phase is given by [11, 18, 20] fj = j 1 Vj f j dV. (7) Vj The value of a property f of the j-phase at a certain point inside the REV is given as the sum of the intrinsic average value f j j and its deviation f j from the intrinsic average value as  fj = fj ¨ ∂ f j = 0 in V j .
Victor Dalmont, Paris (1856) 10. : Analysis of turbulent flows in fixed and moving permeable media. Acta Geophys. 56, 562–583 (2008) 11. : A derivation of the equations for multiphase transport. Chem. Eng. Sci. 30, 229–233 (1975) 12. : Dynamic modeling of convective heat transfer. In: Vafai, K. , pp. 39–80. CRC Press, Taylor & Francis, LLC, Boca Raton (2005) 13. : Darcy’s law and the field equations of the flow of underground fluids. Petrol. Trans. AIME 207, 222–239 (1956) 14. : Two-phase inertial flow in homogeneous porous media: a theoretical derivation of a macroscopic model.
The bulk-volume (superficial) average of a property f of the j-phase is given by [11, 18, 20] 1 f j dV. (6) fj b = Vb V j The individual phase-volume (intrinsic) average of a property f of the j-phase is given by [11, 18, 20] fj = j 1 Vj f j dV. (7) Vj The value of a property f of the j-phase at a certain point inside the REV is given as the sum of the intrinsic average value f j j and its deviation f j from the intrinsic average value as  fj = fj ¨ ∂ f j = 0 in V j . + f j, j (8) j The relationship between the superficial and intrinsic volume averages of a property f is given by fj b = εj fj j .
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