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1

Jaakko, Miettinen, and Ilvonen Mikko. "ICONE15-10291 SOLVING POROUS MEDIA FLOW FOR LWR COMPONENTS." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2007.15 (2007): _ICONE1510. http://dx.doi.org/10.1299/jsmeicone.2007.15._icone1510_146.

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2

Blokhra, R. L., and J. Joshi. "Flow through Porous Media." Journal of Colloid and Interface Science 160, no. 1 (October 1993): 260–61. http://dx.doi.org/10.1006/jcis.1993.1393.

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3

Whitaker, Stephen. "Flow in porous media III: Deformable media." Transport in Porous Media 1, no. 2 (1986): 127–54. http://dx.doi.org/10.1007/bf00714689.

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4

Johnson, P., V. Starov, and A. Trybala. "Foam flow through porous media." Current Opinion in Colloid & Interface Science 58 (April 2022): 101555. http://dx.doi.org/10.1016/j.cocis.2021.101555.

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5

Rojas, Sergio, and Joel Koplik. "Nonlinear flow in porous media." Physical Review E 58, no. 4 (October 1, 1998): 4776–82. http://dx.doi.org/10.1103/physreve.58.4776.

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6

Feder, Jens, and Torstein Jøssang. "Fractal Flow in Porous Media." Physica Scripta T29 (January 1, 1989): 200–205. http://dx.doi.org/10.1088/0031-8949/1989/t29/037.

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7

Chan, Derek Y. C., Barry D. Hughes, Lincoln Paterson, and Christina Sirakoff. "Simulating flow in porous media." Physical Review A 38, no. 8 (October 1, 1988): 4106–20. http://dx.doi.org/10.1103/physreva.38.4106.

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8

Koponen, A., M. Kataja, and J. Timonen. "Tortuous flow in porous media." Physical Review E 54, no. 1 (July 1, 1996): 406–10. http://dx.doi.org/10.1103/physreve.54.406.

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9

Paillat, T., E. Moreau, and G. Touchard. "Flow electrification through porous media." Journal of Loss Prevention in the Process Industries 14, no. 2 (March 2001): 91–93. http://dx.doi.org/10.1016/s0950-4230(00)00031-0.

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10

Adler, P. M., and H. Brenner. "Multiphase Flow in Porous Media." Annual Review of Fluid Mechanics 20, no. 1 (January 1988): 35–59. http://dx.doi.org/10.1146/annurev.fl.20.010188.000343.

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11

Barr, Douglas W. "Turbulent Flow Through Porous Media." Ground Water 39, no. 5 (September 2001): 646–50. http://dx.doi.org/10.1111/j.1745-6584.2001.tb02353.x.

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12

Nazari Moghaddam, Rasoul, and Mahmoud Jamiolahmady. "Slip flow in porous media." Fuel 173 (June 2016): 298–310. http://dx.doi.org/10.1016/j.fuel.2016.01.057.

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13

Higdon, J. J. L. "Multiphase flow in porous media." Journal of Fluid Mechanics 730 (July 30, 2013): 1–4. http://dx.doi.org/10.1017/jfm.2013.296.

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AbstractMultiphase flows in porous media represent fluid dynamics problems of great complexity involving a wide range of physical phenomena. These flows have attracted the attention of an impressive group of renowned researchers and have spawned a number of classic problems in fluid dynamics. These multiphase flows are perhaps best known for their importance in oil recovery from petroleum reservoirs, but they also find application in novel areas such as hydrofracturing for natural gas recovery. In a recent article, Zinchenko & Davis (J. Fluid Mech. 2013, vol. 725, pp. 611–663) present computational simulations that break new ground in the study of emulsions flowing through porous media. These simulations provide sufficient scale to capture the disordered motion and complex break-up patterns of individual droplets while providing sufficient statistical samples for estimating meaningful macroscopic properties of technical interest.
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14

Adler, P. M., C. G. Jacquin, and J. A. Quiblier. "Flow in simulated porous media." International Journal of Multiphase Flow 16, no. 4 (July 1990): 691–712. http://dx.doi.org/10.1016/0301-9322(90)90025-e.

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15

Geindreau, Christian, and Jean-Louis Auriault. "Magnetohydrodynamic flow through porous media." Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics 329, no. 6 (June 2001): 445–50. http://dx.doi.org/10.1016/s1620-7742(01)01354-x.

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16

Layton, William J., Friedhelm Schieweck, and Ivan Yotov. "Coupling Fluid Flow with Porous Media Flow." SIAM Journal on Numerical Analysis 40, no. 6 (January 2002): 2195–218. http://dx.doi.org/10.1137/s0036142901392766.

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17

Gayubov, A. T. "Non-Darcy Flow Through Porous Media." Proceedings of Gubkin Russian State University of Oil and Gas, no. 1 (2021): 19–28. http://dx.doi.org/10.33285/2073-9028-2021-1(302)-19-28.

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18

NAKAI, Hirotaka, Nobuhiro KIMURA, Masahide MURAKAMI, Tomiyoshi HARUYAMA, and Akira YAMAMOTO. "Superfluid Helium Flow through Porous Media." TEION KOGAKU (Journal of Cryogenics and Superconductivity Society of Japan) 31, no. 9 (1996): 474–80. http://dx.doi.org/10.2221/jcsj.31.474.

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19

STANLEY, H. E., A. D. ARAÚJO, U. M. S. COSTA, and J. S. ANDRADE. "FLUID FLOW THROUGH DISORDERED POROUS MEDIA." Fractals 11, supp01 (February 2003): 301–12. http://dx.doi.org/10.1142/s0218348x03001963.

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This talk briefly reviews the subject of fluid flow through disordered media. First, we use two-dimensional percolation networks as a simple model for porous media to investigate the dynamics of viscous penetration when the ratio between the viscosities of displaced and injected fluids is very large. The results indicate the possibility that viscous displacement through critical percolation networks constitutes a single universality class, independent of the viscosity ratio. We also focus on the sorts of considerations that may be necessary to move statistical physics from the description of idealized flows in the limit of zero Reynolds number to more realistic flows of real fluids moving at a nonzero velocity, when inertia effects may become relevant. We discuss several intriguing features, such as the surprisingly change in behavior from a "localized" to a "delocalized" flow structure (distribution of flow velocities) that seems to occur at a critical value of Re which is significantly smaller than the critical value of Re where turbulence sets in.
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20

Dodson, C. T. J., and W. W. Sampson. "Flow Simulation in Stochastic Porous Media." SIMULATION 74, no. 6 (June 2000): 351–58. http://dx.doi.org/10.1177/003754970007400604.

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21

Winter, C. L., and Daniel M. Tartakovsky. "Mean Flow in composite porous media." Geophysical Research Letters 27, no. 12 (June 15, 2000): 1759–62. http://dx.doi.org/10.1029/1999gl011030.

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22

Watson, A. Ted, Raghavendra Kulkarni, Jan-Erik Nordtvedt, Andre Sylte, and Hege Urkedal. "Estimation of porous media flow functions." Measurement Science and Technology 9, no. 6 (June 1, 1998): 898–905. http://dx.doi.org/10.1088/0957-0233/9/6/006.

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23

Kordulová, P. "Hysteresis in flow through porous media." Journal of Physics: Conference Series 268 (January 1, 2011): 012014. http://dx.doi.org/10.1088/1742-6596/268/1/012014.

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24

LIU, SHIJIE, and JACOB H. MASLIYAH. "SINGLE FLUID FLOW IN POROUS MEDIA." Chemical Engineering Communications 148-150, no. 1 (June 1996): 653–732. http://dx.doi.org/10.1080/00986449608936537.

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25

Sochi, Taha. "Non-Newtonian flow in porous media." Polymer 51, no. 22 (October 2010): 5007–23. http://dx.doi.org/10.1016/j.polymer.2010.07.047.

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26

FABRIE, PIERRE, and THIERRY GALLOUËT. "MODELING WELLS IN POROUS MEDIA FLOW." Mathematical Models and Methods in Applied Sciences 10, no. 05 (July 2000): 673–709. http://dx.doi.org/10.1142/s0218202500000367.

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In this paper, we prove the existence of weak solutions for mathematical models of miscible and immiscible flow through porous medium. An important difficulty comes from the modelization of the wells, which does not allow us to use classical variational formulations of the equations.
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27

DENTZ, M., D. M. TARTAKOVSKY, E. ABARCA, A. GUADAGNINI, X. SANCHEZ-VILA, and J. CARRERA. "Variable-density flow in porous media." Journal of Fluid Mechanics 561 (August 2006): 209. http://dx.doi.org/10.1017/s0022112006000668.

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28

El Tawil, M. A., and M. H. Kamel. "MHD flow under stochastic porous media." Energy Conversion and Management 35, no. 11 (November 1994): 991–97. http://dx.doi.org/10.1016/0196-8904(94)90030-2.

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29

Entov, V. M. "Micromechanics of flow through porous media." Fluid Dynamics 27, no. 6 (1993): 824–33. http://dx.doi.org/10.1007/bf01051359.

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30

Du Plessis, J. Prieur, and Jacob H. Masliyah. "Flow through isotropic granular porous media." Transport in Porous Media 6, no. 3 (June 1991): 207–21. http://dx.doi.org/10.1007/bf00208950.

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31

Sauveplane, Claude M. "Flow in porous or fractured media." Journal of Hydrology 97, no. 3-4 (February 1988): 353–55. http://dx.doi.org/10.1016/0022-1694(88)90125-4.

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32

Massmann, Joel, and Lisa Johnson. "Exercises Illustrating Flow in Porous Media." Ground Water 39, no. 4 (July 2001): 499–503. http://dx.doi.org/10.1111/j.1745-6584.2001.tb02338.x.

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33

Reinson, Jeff R., Delwyn G. Fredlund, and G. Ward Wilson. "Unsaturated flow in coarse porous media." Canadian Geotechnical Journal 42, no. 1 (February 1, 2005): 252–62. http://dx.doi.org/10.1139/t04-070.

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Design of effective capillary barrier systems requires a thorough understanding of the soil–water interactions that take place in both coarse- and fine-grained unsaturated soils. Experimental observations of water flow through coarse porous media are presented to gain greater understanding of the processes and mechanisms that contribute to the movement and retention of water in coarse-grained unsaturated soils. The use of pendular ring theory to describe how water is held within a porous material with relatively low volumetric water contents is explored. Experimental measurements of seepage velocity and volumetric water content were obtained for columns of 12 mm glass beads using digital videography to capture the movement of a dye tracer front at several infiltration rates. An estimated curve for hydraulic conductivity versus matric suction is shown and compared to a theoretical curve. The method is shown to provide a reasonable predictive tool.Key words: soil-water characteristic curve, hydraulic conductivity curve, water permeability function, capillary barrier, matric suction.
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34

Moura, M., K. J. Måløy, and R. Toussaint. "Critical behavior in porous media flow." EPL (Europhysics Letters) 118, no. 1 (April 1, 2017): 14004. http://dx.doi.org/10.1209/0295-5075/118/14004.

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35

Nakai, H., N. Kimura, M. Murakami, T. Haruyama, and A. Yamamoto. "Superfluid helium flow through porous media." Cryogenics 36, no. 9 (September 1996): 667–73. http://dx.doi.org/10.1016/0011-2275(96)00030-6.

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36

Buyevich, Yu A., and V. S. Nustrov. "Nonlinear flow in fractured porous media." Transport in Porous Media 12, no. 1 (July 1993): 1–17. http://dx.doi.org/10.1007/bf00616358.

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37

Gun, Wei Jin, and Alexander F. Routh. "Microcapsule flow behaviour in porous media." Chemical Engineering Science 102 (October 2013): 309–14. http://dx.doi.org/10.1016/j.ces.2013.08.028.

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38

Zhu, Tao, and Michael Manhart. "Oscillatory Darcy Flow in Porous Media." Transport in Porous Media 111, no. 2 (December 14, 2015): 521–39. http://dx.doi.org/10.1007/s11242-015-0609-3.

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39

Farinato, Raymond S., and Wei S. Yen. "Polymer degradation in porous media flow." Journal of Applied Polymer Science 33, no. 7 (May 20, 1987): 2353–68. http://dx.doi.org/10.1002/app.1987.070330708.

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40

Hamdan, M. H., and K. D. Sawalha. "Dusty gas flow through porous media." Applied Mathematics and Computation 75, no. 1 (March 1996): 59–73. http://dx.doi.org/10.1016/0096-3003(95)00104-2.

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41

Dejam, Morteza, Hassan Hassanzadeh, and Zhangxin Chen. "Pre-Darcy Flow in Porous Media." Water Resources Research 53, no. 10 (October 2017): 8187–210. http://dx.doi.org/10.1002/2017wr021257.

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42

Mahadevan, Jagannathan, Mukul M. Sharma, and Yannis C. Yortsos. "Flow-through drying of porous media." AIChE Journal 52, no. 7 (2006): 2367–80. http://dx.doi.org/10.1002/aic.10859.

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43

Dullien, Francis A. L. "Two-phase flow in porous media." Chemical Engineering & Technology - CET 11, no. 1 (1988): 407–24. http://dx.doi.org/10.1002/ceat.270110153.

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44

Adler, Pierre M. "Multiphase flow in porous media ? Preface." Transport in Porous Media 20, no. 1-2 (August 1995): 1. http://dx.doi.org/10.1007/bf00616922.

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45

Shaposhnikov, V. A., N. V. Zotov, and A. P. Grafov. "He II flow crisis in porous media." Soviet Journal of Low Temperature Physics 16, no. 4 (April 1, 1990): 263–64. https://doi.org/10.1063/10.0032547.

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The results of an experimental investigation of He II flow crisis in porous media are introduced. It is shown that one must know the structural characteristics of the porous media in order to predict the critical velocities of the He II superfluid component. Analysis of the effect of He II viscosity on flow through a porous medium shows that it is necessary to allow for the channel size dependence of the He II viscosity. The latter dependence and its usability limits are given.
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46

Dalabaev, Umurdin, Malika Ikramova, and Nusratilla Latipov. "Influence of stationary porous media on fluid flow." E3S Web of Conferences 549 (2024): 05011. http://dx.doi.org/10.1051/e3sconf/202454905011.

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The work examines the flow of an incompressible fluid containing a porous medium. A porous body is formed through various mechanisms. To describe the flow, a single equation is used that describes the flow of fluid in the porous and free zone. The flow is simulated based on Rakhmatulin’s two-speed model, in a laminar mode with zero speed of a discrete phase. The results of numerical simulation of the hydrodynamic features of a two-dimensional viscous flow are presented. The Kozeny-Karman relation is used as the force of interaction with the porous layer. Computational experimental methods are used to study the effects of nonuniformity of the fluid velocity field arising from a porous body. For the numerical implementation of the resulting equation, which is a generalization of the Navier-Stokes equation, a SIMPLE-like algorithm with corresponding generalizations was used. A single algorithm is used for the entire area, without identifying the free and porous zones.
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47

Salokhe, Shivam, Mohammad Rahmati, Ryan Masoodi, and Jane Entwhistle. "NUMERICAL SIMULATION OF FLOW THROUGH ABSORBING POROUS MEDIA PART 1: RIGID POROUS MEDIA." Journal of Porous Media 25, no. 5 (2022): 53–75. http://dx.doi.org/10.1615/jpormedia.2022039973.

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48

Jiang, Lan Lan, Yong Chen Song, Yu Liu, Yue Chao Zhao, Ning Jun Zhu, and Abudula Abuliti. "Imaging of Single Phase Flow in Porous Media by High Resolution MRI." Advanced Materials Research 113-116 (June 2010): 126–31. http://dx.doi.org/10.4028/www.scientific.net/amr.113-116.126.

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This paper presents the single flow in porous media to investigate CO2 flow velocity in porous media.We used high resolution MRI to visualize the fluid flow distribution and measure axial mean velocity in porous media.In the experiment, the porous media sample was packed with glass beads, with a porosity of around 0.4. Based the traditional spin echo sequence, we modified the sequence with flow encoding gradients in the flow direction .The sample was saturated. The water flow rates were 1ml/min、2ml/min、3ml/min and 5ml/min,respectively. First, the sequence was calibrated by pipe flow without porous media. As expected, the experimental images show parabolic velocity distribution. The velocity in the centre is high. Then the sample was measured with the same sequence. The images show that the velocity distribution is homogeneous in the porous media. In the boundary of the sample, the velocities are low because of wall-effect. Moreover, the mean velocities calculated from MRI images agree with the real velocities.These errors between calculated velocities and real velocities are small. It may be reduced by changing the experiment conditions.MRI is a useful technology for measuring flow in porous media.
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49

Palia, Dushyant. "Comprehensive Mathematical Modeling of Atherosclerotic Blood Flow: Impact of Porous Media on Hemodynamics." International Journal of Science and Research (IJSR) 13, no. 6 (June 5, 2024): 1425–31. http://dx.doi.org/10.21275/sr24622113622.

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50

Christie, M. A. "Flow in porous media — scale up of multiphase flow." Current Opinion in Colloid & Interface Science 6, no. 3 (June 2001): 236–41. http://dx.doi.org/10.1016/s1359-0294(01)00087-5.

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