Abonnement à la biblothèque: Guest

ON FLUID PRESSURIZATION IN A COMPRESSIBLE POROUS MEDIA: A CORRECTION TO THE CURRENT THEORETICAL MODELS

Volume 22, Numéro 11, 2019, pp. 1397-1410
DOI: 10.1615/JPorMedia.2019024717
Get accessGet access

RÉSUMÉ

Fluid pressurization in a compressible porous media is critical for the normal functions of biological systems, e.g., knee joint lubrication or the smooth motion of red blood cells. Despite extensive research, a theory that precisely captures the pressurization process is still lacking. Herein, we report a novel two-domain model featuring a deforming porous domain under the loading surface and a peripheral undeformed porous domain. The theoretical predictions excellently agree with the experimental study by Crawford et al. (J. Porous Media, vol. 14, pp. 51-64, 2011). The study lays the foundation for characterizing a fluid flow in compressible porous media. It has broad soft porous lubrication applications in both biological systems and industry.

RÉFÉRENCES
  1. Armstrong, C., Lai, W., and Mow, V., An Analysis of the Unconfined Compression of Articular Cartilage, J. Biomech. Eng., vol. 106, pp. 165-173, 1984.

  2. Aroen, A., Loken, S., Heir, S., Alvik, E., Ekeland, A., Granlund, O.G., and Engebretsen, L., Articular Cartilage Lesions in 993 Consecutive Knee Arthroscopies, Am. J. Sports Med., vol. 32, pp. 211-215, 2004.

  3. Ateshian, G., Lai, W., Zhu, W., and Mow, V., An Asymptotic Solution for the Contact of Two Biphasic Cartilage Layers, J. Biomech, vol. 27, pp. 1347-1360,1994.

  4. Ateshian, G.A. and Wang, H., A Theoretical Solution for the Frictionless Rolling Contact of Cylindrical Biphasic Articular Cartilage Layers, J. Biomech, vol. 28, pp. 1341-1355, 1995.

  5. Ateshian, G.A. and Weiss, J.A., Anisotropic Hydraulic Permeability under Finite Deformation, J. Biomech. Eng., vol. 132, p. 111004,2010.

  6. Barabadi, B., Nathan, R., Jen, K.P., and Wu, Q., On the Characterization of Lifting Forces during the Rapid Compaction of Deformable Porous Media, J. Heat Transf., vol. 131, p. 101006, 2009.

  7. Carman, P.C., Fluid Flow through Granular Beds, Trans. Inst. Chem. Eng., vol. 15, pp. 150-166, 1937.

  8. Carman, P.C., Flow of Gases through Porous Media, Cambridge, MA: Academic Press, 1956.

  9. Cohen, B., Lai, W., and Mow, V., A Transversely Isotropic Biphasic Model for Unconfined Compression of Growth Plate and Chondroepiphysis, J. Biomech. Eng., vol. 120, pp. 491-496, 1998.

  10. Crawford, R., Jones, G.F., You, L., and Wu, Q., Compression-Dependent Permeability Measurement for Random Soft Porous Media and Its Implications to Lift Generation, Chem. Eng. Sci., vol. 66, pp. 294-302, 2011a.

  11. Crawford, R., Nathan, R., Jen, K.P., and Wu, Q., Dynamic Compression of Soft Porous Media: From Finite to Infinite Domain, J. Porous Media, vol. 14, pp. 51-64, 2011b.

  12. Crawford, R., Nathan, R., Wang, L., and Wu, Q., Experimental Study on the Lift Generation inside a Random Synthetic Porous Layer under Rapid Compaction, Exp. Therm. Fluid Sci., vol. 36, pp. 205-216, 2012.

  13. Feng, J. and Weinbaum, S., Lubrication Theory in Highly Compressible Porous Media: The Mechanics of Skiing, from Red Cells to Humans, J. FluidMech., vol. 422, pp. 281-317, 2000.

  14. Greene, G.W., Olszewska, A., Osterberg, M., Zhu, H., and Horn, R., A Cartilage-Inspired Lubrication System, Soft Matter, vol. 10, pp. 374-382, 2014.

  15. Kozeny, J., Uber Kapillare Leitung der Wasser in Boden, Royal Academy of Science, Vienna, Proc. Class I, vol. 136, pp. 271-306, 1927.

  16. Li, L., Soulhat, J., Buschmann, M., and Shirazi-Adl, A., Nonlinear Analysis of Cartilage in Unconfined Ramp Compression Using a Fibril Reinforced Poroelastic Model, Clin. Biomech., vol. 14, pp. 673-682, 1999.

  17. Logerstedt, D.S., Snyder-Mackler, L., Ritter, R.C., Axe, M.J., Godges, J., Altman, R.D., Briggs, M., Chu, C., Delitto, A., and Ferland, A., Knee Pain and Mobility Impairments: Meniscal and Articular Cartilage Lesions, J. Orthop. Sports Phys. Therapy, vol. 40, pp. A1-A35, 2010.

  18. Majewski, M., Susanne, H., and Klaus, S., Epidemiology of Athletic Knee Injuries: A 10-Year Study, Knee, vol. 13, pp. 184-188, 2006.

  19. McCutchen, C.W., Sponge-Hydrostatic and Weeping Bearings, Nature, vol. 184, p. 1284, 1959.

  20. McCutchen, C.W., The Frictional Properties of Animal Joints, Wear, vol. 5, pp. 1-17,1962.

  21. Mow, V.C., Holmes, M.H., and Lai, W.M., Fluid Transport and Mechanical Properties of Articular Cartilage: A Review, J. Biomech, vol. 17, pp. 377-394, 1984.

  22. Mow, V.C., Kuei, S., Lai, W.M., and Armstrong, C.G., Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and Experiments, J. Biomech. Eng., vol. 102, pp. 73-84,1980.

  23. Shimizu, H., Air Permeability of Deposited Snow, Contribut. Inst. Low Temp. Sci., vol. 22, pp. 1-32, 1970.

  24. Skotheim, J.M. and Mahadevan, L., Soft Lubrication, Phys. Rev. Lett., vol. 92, p. 245509, 2004.

  25. Skotheim, J.M. and Mahadevan, L., Soft Lubrication: The Elastohydrodynamics of Nonconforming and Conforming Contacts, Phys. Fluids, vol. 17, p. 092101, 2005.

  26. Soltz, M.A. and Ateshian, G.A., A Conewise Linear Elasticity Mixture Model for the Analysis of Tension-Compression Nonlin- earity in Articular Cartilage, J. Biomech. Eng., vol. 122, pp. 576-586, 2000.

  27. Squire, J.M., Chew, M., Nneji, G., Neal, C., Barry, J., and Michel, C., Quasi-Periodic Substructure in the Microvessel Endothelial Glycocalyx: A Possible Explanation for Molecular Filtering?, J. Struct. Biol., vol. 136, pp. 239-255, 2001.

  28. Vink, H. and Duling, B.R., Identification of Distinct Luminal Domains for Macromolecules, Erythrocytes, and Leukocytes within Mammalian Capillaries, Circ. Res, vol. 79, pp. 581-589,1996.

  29. Weinbaum, S., Zhang, X., Han, Y., Vink, H., and Cowin, S.C., Mechanotransduction and Flow across the Endothelial Glycocalyx, Proc. Natl. Acad. Sci., vol. 100, pp. 7988-7995,2003.

  30. Wu, Q., Andreopoulos, Y., and Weinbaum, S., From Red Cells to Snowboarding: A New Concept for a Train Track, Phys. Rev. Lett., vol. 93, p. 194501, 2004a.

  31. Wu, Q., Andreopoulos, Y., and Weinbaum, S., Lessons Learned from the Exquisite Design of the Endothelial Surface Glycocalyx and Their Amazing Applications, WIT Trans. Ecol. Environ., vol. 73, 2004b.

  32. Wu, Q., Andreopoulos, Y., Xanthos, S., and Weinbaum, S., Dynamic Compression of Highly Compressible Porous Media with Application to Snow Compaction, J. Fluid Mech, vol. 542, pp. 281-304, 2005.

  33. Wu, Q., Santhanam, S., Nathan, R., and Wang, Q., A Biphasic Approach for the Study of Lift Generation in Soft Porous Media, Phys. Fluids, vol. 29, p. 043602, 2017.

  34. Zhou, Z. and Jin, Z., Biotribology: Recent Progresses and Future Perspectives, Biosurf. Biotribol., vol. 1, pp. 3-24, 2015.

  35. Zhu, Z., Wang, Q., and Wu, Q., On the Examination of the Darcy Permeability of Soft Fibrous Porous Media; New Correlations, Chem. Eng. Sci., vol. 173, pp. 525-536, 2017.

CITÉ PAR
  1. Kunik Serguei, Fatu Aurelian, Bouyer Jean, Doumalin Pascal, Experimental and numerical study of self-sustaining fluid films generated in highly compressible porous layers imbibed with liquids, Tribology International, 151, 2020. Crossref

Prochains articles

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections Prix et politiques d'abonnement Begell House Contactez-nous Language English 中文 Русский Português German French Spain