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Experimental Study of Flow Effects of Solid Particles’ Size in Porous Media

Authors: S. Akridiss, E. El Tabach, K. Chetehouna, N. Gascoin, M. S. Kadiri


Transpiration cooling combined to regenerative cooling is a technique that could be used to cool the porous walls of the future ramjet combustion chambers; it consists of using fuel that will flow through the pores of the porous material consisting of the chamber walls, as coolant. However, at high temperature, the fuel is pyrolysed and generates solid coke particles inside the porous materials. This phenomenon can lead to a significant decrease of the material permeability and can affect the efficiency of the cooling system. In order to better understand this phenomenon, an experimental laboratory study was undertaken to determine the transport and deposition of particles in a sintered porous material subjected to steady state flow. The test bench composed of a high-pressure autoclave is used to study the transport of different particle size (35

Keywords: Experimental study, permeability, porous material, suspended particles.

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[1] T. Langener, J. Von Wolfersdorf, M. Selzer, and H. Hald, “Experimental investigations of transpiration cooling applied to C/C material,” Int. J. Therm. Sci., vol. 54, pp. 70–81, 2012.
[2] G. Huang, Y. Zhu, Z. Liao, X.-L. Ouyang, and P.-X. Jiang, “Experimental investigation of transpiration cooling with phase change for sintered porous plates,” Int. J. Heat Mass Transf., vol. 114, pp. 1201–1213, 2017.
[3] N. Gascoin, P. Gillard, S. Bernard, and M. Bouchez, “Characterisation of coking activity during supercritical hydrocarbon pyrolysis,” Fuel Process. Technol., vol. 89, no. 12, pp. 1416–1428, 2008.
[4] E. El Tabach, L. Adishirinli, N. Gascoin, and G. Fau, “Prediction of transient chemistry effect during fuel pyrolysis on the pressure drop through porous material using artificial neural networks,” J. Anal. Appl. Pyrolysis, vol. 115, pp. 143–148, 2015.
[5] G. Fau, N. Gascoin, P. Gillard, M. Bouchez, and J. Steelant, “Fuel pyrolysis through porous media: Coke formation and coupled effect on permeability,” J. Anal. Appl. Pyrolysis, vol. 95, pp. 180–188, 2012.
[6] M. Elimelech, “Particle deposition on ideal collectors from dilute flowing suspensions: Mathematical formulation, numerical solution, and simulations,” Sep. Technol., vol. 4, no. 4, pp. 186–212, 1994.
[7] R. Kretzschmar, K. Barmettler, D. Grolimund, Y. Yan, M. Borkovec, and H. Sticher, “Experimental determination of colloid deposition rates and collision efficiencies in natural porous media,” Water Resour. Res., vol. 33, pp. 1129–1137, 1997.
[8] T. Harter and S. Wagner, “Colloid Transport and Filtration of Cryptosporidium parvum in Sandy Soils and Aquifer Sediments,” Environ. Sci. Technol. - Env. SCI TECHNOL, vol. 34, 1999.
[9] N. Massei, M. Lacroix, H. Q. Wang, and J.-P. Dupont, “Transport of particulate material and dissolved tracer in a highly permeable porous medium: comparison of the transfer parameters,” J. Contam. Hydrol., vol. 57, no. 1, pp. 21–39, 2002.
[10] A. Benamar, N.-D. Ahfir, H. Q. Wang, and A. Alem, “Particle transport in a saturated porous medium: pore structure effects,” C. R. Geosci., vol. 339, no. 10, pp. 674–681, 2007.
[11] N. D. Ahfir, H. Q. Wang, A. Benamar, A. Alem, N. Massei, and J. P. Dupont, “Transport and deposition of suspended particles in saturated porous media: Hydrodynamic effect,” Hydrogeol. J., vol. 15, no. 4, pp. 659–668, 2007.
[12] G. Kampel, G. H. Goldsztein, and J. C. Santamarina, “Particle transport in porous media: The role of inertial effects and path tortuosity in the velocity of the particles,” Appl. Phys. Lett., vol. 95, no. 19, pp. 2–4, 2009.
[13] A. Lohne et al., “Formation-Damage and Well-Productivity Simulation,” SPE J. - SPE J, vol. 15, pp. 751–769, 2010.
[14] H. Fallah, H. B. Fathi, and H. Mohammadi, “The Mathematical Model for Particle Suspension Flow through Porous Medium,” Geomaterials, vol. 2, no. 3, pp. 57–62, 2012.
[15] A. C. Payatakes, R. Rajagopalan, and C. Tien, “Application of porous media models to the study of deep bed filtration,” Can. J. Chem. Eng., vol. 52, no. 6, pp. 722–731, 1974.
[16] J. E. Altoé F., P. Bedrikovetsky, A. G. Siqueira, A. L. S. de Souza, and F. S. Shecaira, “Correction of basic equations for deep bed filtration with dispersion,” J. Pet. Sci. Eng., vol. 51, no. 1–2, pp. 68–84, 2006.
[17] Z. You, Y. Osipov, P. Bedrikovetsky, and L. Kuzmina, “Asymptotic model for deep bed filtration,” Chem. Eng. J., vol. 258, pp. 374–385, 2014.
[18] R. N. Sacramento et al., “Deep bed and cake filtration of two-size particle suspension in porous media,” J. Pet. Sci. Eng., vol. 126, pp. 201–210, 2015.
[19] A. Vaz, P. Bedrikovetsky, P. D. Fernandes, A. Badalyan, and T. Carageorgos, “Determining model parameters for non-linear deep-bed filtration using laboratory pressure measurements,” J. Pet. Sci. Eng., vol. 151, no. September 2016, pp. 421–433, 2017.
[20] R. May and Y. Li, “The effects of particle size on the deposition of fluorescent nanoparticles in porous media: Direct observation using laser scanning cytometry,” Colloids Surfaces A Physicochem. Eng. Asp., vol. 418, pp. 84–91, 2013.
[21] A. Zamani and B. Maini, “Flow of dispersed particles through porous media - Deep bed filtration,” J. Pet. Sci. Eng., vol. 69, no. 1–2, pp. 71–88, 2009.
[22] J. P. Herzig, D. M. Leclerc, and P. Le. Goff, “Flow of suspensions through porous media—Application to deep bed filtration,” Ind. Eng. Chem., vol. 62, 1970.
[23] Y.-B. Xiong, Y.-H. Zhu, and P.-X. Jiang, “Numerical simulation of transpiration cooling for sintered metal porous strut of the Scramjet combustion chamber,” Heat Transf. Eng., vol. 35, no. 6–8, pp. 721–729, 2014.
[24] H. C. Brinkman, “A calculation of the viscous force exerted by a flowing fluid in a dense swarm of particles,” Appl. Sci. Res., vol. 1, pp. 27–34, 1947.
[25] H. Huang and J. A. Ayoub, “Applicability of the Forchheimer equation for Non-Darcy flow in porous media.”, SPE Annual Technical Conference and Exhibition, 2006, pp. 24–27.
[26] N. Gascoin, G. Fau, P. Gillard, M. Kuhn, M. Bouchez, and J. Steelant, “Comparison of two permeation test benches and two determination methods for Darcy’s and Forchheimer’s permeabilities,” J. Porous Media, vol. 15, no. 8, pp. 705–720, 2012.
[27] E. El Tabach, N. Gascoin, M. Bouchez, and G. Fau, “Impact of post-processing methods on accuracy of darcian and forchheimer permeabilities determination,” J. Porous Media, vol. 19, no. 9, pp. 771–782, 2016.
[28] A. Rahmouni, A. Boulanouar, M. Boukalouch, Y. Géraud, A. Samaouali, M. Harnafi, J. Sebbani, “Relationships between porosity and permeability of calcarenite rocks based on laboratory measurements,” J. Mater. Environ. Sci., vol. 5, pp. 931-936, 2014.
[29] J. Kozeny, “Ueber kapillare Leitung des Wassers im Boden”, Sitzungsber Akad. Wiss., Wien, vol. 136 (2a), pp. 271–306, 1927.
[30] P.C. Carman, “Fluid flow through granular beds”. Transactions, Institution of Chemical Engineers, London, vol. 15, pp. 150–166, 1937.
[31] G. Mavko and A. Nur, “The effect of a percolation threshold in the Kozeny-Carman relation,” Geophysics, vol. 62, pp. 1480–1482, 1997.
[32] C. H. Shih and J. Lee, “Effect of fiber architecture on permeability in liquid composite molding,” Polym. Compos., vol. 19, pp. 629–639, 1998.
[33] E. Rodriguez, F. Giacomelli, and A. Vazquez, “Permeability-Porosity Relationship in RTM for Different Fiberglass and Natural Reinforcements,” J. Compos. Mater., vol. 38, no. 3, pp. 259–268, 2004.
[34] P. Xu and B. Yu, “Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry,” Adv. Water Resour., vol. 31, no. 1, pp. 74–81, 2008.
[35] N. Henderson, J. C. Brêttas, and W. F. Sacco, “A three-parameter Kozeny-Carman generalized equation for fractal porous media,” Chem. Eng. Sci., vol. 65, no. 15, pp. 4432–4442, 2010.
[36] J. Bear, Dynamics of fluid in porous media. Elsevier, New York, 1972.
[37] R. E. Jordan, J. P. Hardy, F. E. Perron Jr, and D. J. Fisk, “Air permeability and capillary rise as measures of the pore structure of snow: an experimental and theoretical study,” Hydrol. Process., vol. 13, pp. 1733–1753, 1999.