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From red cells to soft lubrication, an experimental study of lift generation inside a compressible porous layer

Published online by Cambridge University Press:  28 March 2017

T. Gacka ,
Z. Zhu Open the ORCID record for Z. Zhu [Opens in a new window] ,
R. Crawford ,
R. Nathan Open the ORCID record for R. Nathan [Opens in a new window]  and
Q. Wu
T. Gacka
Affiliation:
Villanova Cellular Biomechanics and Sports Science Laboratory, Villanova, PA 19085, USA Department of Mechanical Engineering, Villanova University, Villanova, PA 19085, USA
Z. Zhu
Affiliation:
Villanova Cellular Biomechanics and Sports Science Laboratory, Villanova, PA 19085, USA Department of Mechanical Engineering, Villanova University, Villanova, PA 19085, USA
R. Crawford
Affiliation:
Villanova Cellular Biomechanics and Sports Science Laboratory, Villanova, PA 19085, USA Department of Mechanical Engineering, Villanova University, Villanova, PA 19085, USA
R. Nathan
Affiliation:
Villanova Cellular Biomechanics and Sports Science Laboratory, Villanova, PA 19085, USA Division of Engineering, Penn State Berks, Reading, PA 19610, USA
Q. Wu*
Affiliation:
Villanova Cellular Biomechanics and Sports Science Laboratory, Villanova, PA 19085, USA Department of Mechanical Engineering, Villanova University, Villanova, PA 19085, USA
*
†Email address for correspondence: qianhong.wu@villanova.edu
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Abstract

It is a new concept for porous media flow that a hydrodynamic lifting force is generated inside a highly compressible porous layer as a planing surface glides over it. The concept originated from the observation of the pop-out phenomena of red blood cells over the endothelial glycocalyx layer (EGL) lining the inner surface of our blood vessels (Feng & Weinbaum, J. Fluid Mech., vol. 422, 2000, pp. 282–317). In the current paper, we report an experimental study to examine this concept. A novel testing set-up was developed that consists of a running conveyer belt covered with a soft porous sheet, and a fully instrumented upper planar board, i.e. planing surface. The generation of pore pressure was observed and captured by pressure transducers when the planing surface glides over the porous sheet. Its distribution strongly depends on the relative velocity between the planing surface and the running belt, the mechanical and transport properties of the porous sheet as well as the compression ratios at the leading and trailing edges. The relative contribution of the transiently trapped air to the total lift was evaluated by comparing the pore pressure to the total lifting pressure measured by a load cell mounted between two adjacent pressure transducers. For a typical running condition with a polyester porous material ($k=h_{2}/h_{1}=5$, $\unicode[STIX]{x1D706}=h_{2}/h_{0}=1$, $U=3.8~\text{m}~\text{s}^{-1}$, where $h_{2}$, $h_{1}$, are the porous layer thickness at the leading and trailing edges, respectively; $h_{0}$ is the un-deformed porous layer thickness; and $U$ is the velocity of the running belt), over 68 % of the local lift is generated by the pore pressure. The results conclusively verified the validity of lift generation in a highly compressible porous layer as a planing surface glides over it. This study provides the foundation for the application of highly compressible porous media for soft lubrication with minimal frictional losses. It also sheds some light on the biophysics study of the EGL.

JFM classification

Low-Reynolds-number flows: Low-Reynolds-number flows Low-Reynolds-number flows: Lubrication theory Low-Reynolds-number flows: Porous media
Type
Papers
Information
Journal of Fluid Mechanics , Volume 818 , 10 May 2017 , pp. 5 - 25
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Copyright
© 2017 Cambridge University Press 

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References

Adamson, R. H. & Clough, G. 1992 Plasma proteins modify the endothelial cell glycocalyx of frog mesenteric microvessels. J. Physiol. Lond. 445, 473–486.Google Scholar
Akaydin, H. D., Pierides, A., Weinbaum, S. & Andreopoulos, Y. 2011 Permeability of soft porous media under one-dimensional compaction. Chem. Engng Sci. 66, 1–14.Google Scholar
Al-Chidiac, M., Mirbod, P., Andreopoulos, Y. & Weinbaum, S. 2009 Dynamic compaction of soft compressible porous materials: experiments and air-solid phase interaction. J. Porous Media 12, 1019–1035.Google Scholar
Ateshian, G. & Wang, H. 1995 A theoretical solution for the frictionless rolling contact of cylindrical biphasic articular cartilage layers. J. Biomech. 28, 1341–1355.CrossRefGoogle ScholarPubMed
Ateshian, G., Wang, H. & Lai, W. 1998 The role of interstitial fluid pressurization and surface porosities on the boundary frictional of articular cartilage. J. Tribology 120, 241–251.CrossRefGoogle Scholar
Barabadi, B., Nathan, R., Jen, K. & Wu, Q. 2009 On the characterization of lifting forces during the rapid compaction of deformable porous media. Trans. ASME  J. Heat Transfer 131, 101006.Google Scholar
van den Berg, B. & Vink, H. 2006 Glycocalyx perturbation: cause or consequence of damage ot the vasculature? Am. J. Physiol. Heart Circ. Physiol. 290, H2174–H2175.Google Scholar
Bujurke, M. & Kudenatti, R. 2006 An analysis of rough poroelastic bearings with reference to lubrication mechanism of synovial joints. Appl. Maths Comput. 178, 309–320.CrossRefGoogle Scholar
Caligaris, M. & Ateshian, G. 2008 Effects of sustained interstitial fluid pressurization under migrating contact area, and boundary lubrication by synovial fluid, on cartilage friction. Osteoarthritis Cartilage 16, 1220–1227.Google Scholar
Crawford, R., Jones, G. F., You, L. & Wu, Q. 2011a Compression-dependent permeability measurements for random soft medium and its implications to lift generation. Chem. Engng Sci. 66, 294–302.CrossRefGoogle Scholar
Crawford, R., Nathan, R., Jen, K. P., Wang, L. & Wu, Q. 2011b Dynamic compression of soft porous media; from finite to infinite domain. J. Porous Media 14, 51–64.Google Scholar
Crawford, R., Nathan, R., Wang, L. & Wu, Q. 2012 Experimental study on the lift generation inside a random synthetic porous layer under rapid compaction. Exp. Therm. Fluid Sci. 36, 205–216.Google Scholar
Deen, W. M. 1998 Analysis of Transport Phenomena (Topics in Chemical Engineering), pp. 270–314. Oxford University Press.Google Scholar
Feng, J. & Weinbaum, S. 2000 Lubrication theory in highly compressible porous media: the mechanics of skiing, from red cells to humans. J. Fluid Mech. 422, 282–317.Google Scholar
Fu, B. M. & Tarbell, J. M. 2013 Mechano-sensing and transduction by endothelial surface glycocalyx: composition, structure, and function. Wiley Interdisciplinary Reviews: Systems Biology and Medicine 5, 381–390.Google ScholarPubMed
Gao, L. & Lipowsky, H. H. 2010 Compsition of the endothelial glycocalyx and its relation to its thickenss and diffusion of small solutes. Microvasc. Res. 80, 394–401.Google Scholar
Greene, G. W., Olszewska, A., Osterberg, M., Zhu, H. & Horn, R. 2014 A cartilage-inspired lubrication system. Soft Matt. 10, 374–382.Google Scholar
Henry, C. B. & Duling, B. R. 1999 Permeation of the luminal capillary glycocalyx is determined by hyaluronan. Am. J. Phys. 277, 508–514.Google Scholar
Jones, M. B., Fulford, G. R., Please, C. P., McElwain, D. L. S. & Collins, M. J. 2008 Elastohydrodynamics of the eyelid wiper. Bull. Math. Biol. 70, 323–343.Google Scholar
Long, D. S., Smith, M. L., Pries, A. R., Ley, K. & Damiano, E. R. 2004 Microviscometry reveals reduced blood viscosity and altered shear rate and shear stress profiles in microvessels after hemodilution. Proc. Natl Acad. Sci. USA 101, 10060–10065.Google Scholar
Luft, J. 1966 Fine structure of capillary and endocapillary layer as revealed by ruthenium red. Federation Proc. 2, 1773–1783.Google Scholar
Lynch, C. T. 1974 Handbook of Material Science Volume III: Nonmetallic Materials and Applications. CRC Press.Google Scholar
McCutchen, C. 1959 Mechanism of animal joints: sponge-hydrostatic and weeping bearings. Nature 184, 1284–1285.Google Scholar
McCutchen, C. 1962 The frictional properties of animal joints. Wear 5, 1–17.CrossRefGoogle Scholar
Mirbod, P., Andreopoulos, Y. & Weinbaum, S. 2009a Application of soft porous materials to a high-speed train track. J. Porous Media 12, 1037–1052.Google Scholar
Mirbod, P., Andreopoulos, Y. & Weinbaum, S. 2009b On the generation of lift forces in random soft porous media. J. Fluid Mech. 619, 147–166.Google Scholar
Mow, V. C., Holmes, M. & Lai, W. 1984 Fluid transport and mechanical properties of articular cartilage: a review. J. Biomech. 17, 377–394.Google Scholar
Nogai, T. & Ihara, M. 1978 Study on air permeability of fiber assemblies oriented unidirectionally. J. Textile Machinery Soc. Japan 31, T166–T170.Google Scholar
Secomb, T. W., Hsu, R. & Pries, A. R. 2002 Blood flow and red blood cell deformation in nonuniform capillaries: effects of the endothelial surface layer. Microcirculation 9, 189–196.Google Scholar
Skotheim, J. & Mahadevan, L. 2004 Soft lubrication. Phys. Rev. Lett. 92, 245509,1–4.Google Scholar
Skotheim, J. & Mahadevan, L. 2005 Soft lubrication: the elastohydrodynamics of nonconfirming and conforming contacts. Phys. Fluids 17, 1–23.Google Scholar
Smith, M. L., Long, D. S., Daminao, E. R. & Ley, K. 2003 Near-wall micro-piv reveals a hydrodynamically relevant endothelial surface layer in venules in vivo. Biophys. J 85, 637–645.Google Scholar
Soltz, M. & Ateshian, G. 1998 Experimental verification and theoretical prediction of cartilage interstitial fluid pressurization at an impermeable contact interface in confined compression. J. Biomech. 31, 927–934.Google Scholar
Vink, H. & Duling, B. R. 1996 Identification of distinct luminal domains for macromolecules, erythrocytes, and leukocytes within mammalian capillaries. Circulat. Res. 79, 581–589.CrossRefGoogle ScholarPubMed
Weinbaum, S., Zhang, X., Han, Y., Vink, H. & Cowin, S. C. 2003 Mechanotransduction and flow across the endothelial glycocalyx. Proc. Natl Acad. Sci. 100, 7988–7995.CrossRefGoogle ScholarPubMed
Wu, Q., Andreopoulos, Y. & Weinbaum, S. 2004a From red cells to snowboarding: a new concept for a train track. Phys. Rev. Lett. 93, 194501.Google Scholar
Wu, Q., Andreopoulos, Y. & Weinbaum, S. 2004b Lessons learned from the exquisite design of the endothelial surface glycocalyx and their amazing applications. In Design and Nature II, pp. 329–338. WIT Press.Google Scholar
Wu, Q., Andreopoulos, Y. & Weinbaum, S. 2006b Riding on air; a new theory for lift mechanics of downhill skiing and snowboarding. The Engineering of Sport 6, 281–286.Google Scholar
Wu, Q., Andreopoulos, Y., Xanthos, S. & Weinbaum, S. 2005b Dynamic compression of highly compressible porous media with application to snow compaction. J. Fluid Mech. 542, 281–304.Google Scholar
Wu, Q. & Ganguly, S. 2007 Study on the optimization of a snowboard. In The Impact of Technology on Sport, pp. 833–838. CRC Press.Google Scholar
Wu, Q., Igci, Y., Andreopoulos, Y. & Weinbaum, S. 2006a Lift mechanics of downhill skiing and snowboarding. Med. Sci. Sports Exer. 38, 1132–1146.Google Scholar
Wu, Q., Santhanam, S., Nathan, R. & Wang, Q. 2017a A biphasic approach for the study of lift generation in soft porous media. Phys. Fluids (in review).CrossRefGoogle Scholar
Wu, Q. & Sun, Q. 2008 A revised model on the lift mechanics of downhill skiing and snowboarding. The Engineering of Sport 7, 457–465.Google Scholar
Wu, Q. & Sun, Q. 2009 Lift generation in soft porous media with application to skiing or snowboarding. In Science and Skiing IV, pp. 708–717. Meyer & Meyer.Google Scholar
Wu, Q. & Sun, Q. 2011 A comprehensive skiing mechanics theory with implications to snowboard optimization. Med. Sci. Sports Exer. 43, 1955–1963.CrossRefGoogle ScholarPubMed
Wu, Q., Wang, Q., Zhu, Z. & Nathan, R. 2017b Theoretical and experimental study of dynamic compression of soft porous media; from finite to infinite domain. Soft Matt. (submitted).Google Scholar
Wu, Q., Weinbaum, S. & Andreopoulos, Y. 2005a Stagnation-point flow in a porous medium. Chem. Engng Sci. 60, 123–134.CrossRefGoogle Scholar
Yen, W. Y., Cai, B., Zeng, M., Tarbell, J. M. & Fu, B. M. 2012 Quantification of the endothelial surface glycocalyx on rat and mouse blood vessels. Microvasc. Res. 83, 337–346.Google Scholar
Zhao, Y., Chien, S. & Weinbaum, S. 2001 Dynamic contact forces on leukocyte microvilli and their penetration of the endothelial glycocalyx. Biophys. J. 80, 1124–1140.Google Scholar