Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-15T23:25:56.006Z Has data issue: false hasContentIssue false

CHAPTER 10 - Lubrication with Non-Newtonian Fluids

Published online by Cambridge University Press:  05 June 2012

Andras Z. Szeri
Affiliation:
University of Delaware
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Almqvist, T.Larsson, R. 2002 The Navier-Stokes approach for thermal EHL line contact solutionTribol. Int 35 163CrossRefGoogle Scholar
Al-Sharif, A. 1992
Al-Sharif, A.Chamniprasart, T.Rajagopal, K. R.Szeri, A. Z. 1993 Lubrication with binary mixtures: liquid-liquid emulsionASME Journal of Tribology 115 46CrossRefGoogle Scholar
Anderson, J. B.Wood, H. G.Allaire, P. E.McDaniel, J. C.Olsen, D. BBearnson, G. 2000 Numerical studies of blood shear and washing in a continuous flow ventricular assist deviceASAIO J 46 486CrossRefGoogle Scholar
Antman, S. S.Marlow, R. S. 1991 Material constraints, Lagrange multipliers, and compatibility – application to rod and shell theoriesArch. Ratl. Mech. Anal 116 257CrossRefGoogle Scholar
Arora, D.Behr, M.Pasquali, M. 2004 A tensor-based measure for estimating blood damageArtif. Organs 28 1002CrossRefGoogle ScholarPubMed
Atkin, R. J.Craine, R. E. 1976 Continuum theories of mixtures: basic theory and historical developmentQ. J. Mech. Appl. Math 29 209CrossRefGoogle Scholar
Atkin, R. J.Craine, R. E. 1976 Continuum theories of mixtures: applicationsJ. Inst. Math. Appl 17 153CrossRefGoogle Scholar
Baajines, J. P. W.Van Steenhoven, A. A.Janssen, J. D. 1993 Numerical analysis of steady generalized Newtonian blood flow in a 2-D model of the carotid artery bifurcationBiorheology 30 63Google Scholar
Bair, S. 2000
Bair, S. 2009 Rheology and high-pressure models for quantitative elastohydrodynamicsProc. ImechE J 223 617CrossRefGoogle Scholar
Bair, S.Khonsari, M. 1996 An EHD inlet zone analysis incorporating the second NewtonianJ. Lub. Tech 118 341Google Scholar
Bair, S.Winer, W. O. 1979 A rheological model for elastohydrodynamical contactsASME J. Lub. Tech 101 248CrossRefGoogle Scholar
Bair, S.Fernandez, J.Khonsari, M. M.Krupka, I.Qureshi, F.Vergne, P.Wang, Q. J. 2009 An argument for a change in elastohydrodynamic lubrication philosophyProc. IMechE J 223 1Google Scholar
Bair, S.Khonsari, M.Winer, W. O. 1998 High-pressure rheology of lubricants and limitations of the Reynolds equationTribol. Int 10 573CrossRefGoogle Scholar
Bair, S.Vergne, P.Querry, M. 2005 A unified shear-thinning treatment of both film thickness and traction in EHDTribol. Letts 18 145CrossRefGoogle Scholar
Barlow, A. J.Erginsau, A.Lamb, J. 1969 Viscoelastic relaxation in liquid mixturesProc. Roy. Soc 309A 473CrossRefGoogle Scholar
Barlow, A. J.Harrison, G.Irving, J. B.Kim, M. G.Lamb, J. 1972 The effect of pressure on the viscoelastic properties of LiquidsProc. Roy. Soc 327A 403CrossRefGoogle Scholar
Bedford, A.Drumheller, D. S. 1983 Recent advances: theories of immiscible and structured mixturesInt. J. Eng. Sci 21 863CrossRefGoogle Scholar
Bendler, J. T.Fontanella, J. J.Schlesinger, M. F. 2001 A new Vogel-like law: ionic conductivity, dielectric relaxation, and viscosity near the glass transitionPhys. Rev. Let 87 1CrossRefGoogle ScholarPubMed
Beris, A. N.Armstrong, R. C.Brown, R. A. 1983 Perturbation theory for viscoelastic fluids between eccentric rotating cylindersJ. Non-Newtonian Fluid Mech 13 109CrossRefGoogle Scholar
Bernstein, B.Kearsley, E. A.Zapas, L. J. 1963 A study of stress relaxation with finite strainTrans. Soc. Rheol 7 391CrossRefGoogle Scholar
Bingham, E. C. 1922 Fluidity and PlasticityMcGraw-HillNew YorkGoogle Scholar
Blackshear, P. L.Blackshear, G. L. 1987 Mechanical hemolysisHandbook of BioengineeringMcGraw-HillNew YorkGoogle Scholar
Blackshear, P. L.Dorman, F. D.Steinbach, J. H.Maybach, E. J.Collingham, R. E. 1966 Shear wall interaction and hemolysisTrans. Am. Soc. Artif. Intern 12 113Google ScholarPubMed
Bludszuweit, C. 1995 Three dimensional numerical prediction of stress loading of particles in a centrifugal pumpArtif. Organs 19 590CrossRefGoogle Scholar
Bourgin, D. 1979 Fluid-film flows of differential fluids of complexity n dimensional approach – applications to lubrication theoryASME J. Lub. Tech 101 140CrossRefGoogle Scholar
Bourgin, D.Gay, B. 1983
Bowen, R. M. 1976 Theory of Mixtures, Continuum PhysicsEringen, A. C.Academic PressNew YorkGoogle Scholar
Braun, M. J.Hendricks, R. 1981 An experimental investigation of the vaporous/gaseous cavity characteristics of an eccentric journal bearingASLE Trans 27 1CrossRefGoogle Scholar
Bridgman, P. W. 1931 The Physics of High-PressureMacMillanNew YorkGoogle Scholar
Buckholtz, R. H. 1985 Effects of power-law, non-Newtonian lubricants on load capacity and friction for plane slider bearingASME/ASLE Joint ConfGoogle Scholar
Buckholtz, R. H.Wang, B. 1985 The accuracy of short bearing theory for Newtonian lubricantsASME/ASLE Joint ConfGoogle Scholar
Burgreen, G. W.Loree, H. M.Bourque, K.Dague, C.Poirier, V. L.Farrar, D.Hampton, E.Wu, Z. J.Gempp, T. M.Schob, R. 2004 Computational fluid dynamics analysis of a maglev centrifugal left ventricular assist deviceArtif. Organs 28 874CrossRefGoogle ScholarPubMed
Butterworth, O.Hewitt, G. F. 1977 Two-Phase Flow Heat TransferOxford University PressLondonGoogle Scholar
Casson, N. 1959 A flow equation for pigment oil suspension of printing ink typeRheology of Dispersed SystemsPergamon PressOxfordGoogle Scholar
Chamniprasart, T.Al-Sharif, A.Rajagopal, K. RSzeri, A. Z. 1993 Lubrication with bubbly oilASME Journal of Tribology 115 253CrossRefGoogle Scholar
Chamniprasart, K. 1992 A Theoretical Model of Hydrodynamic Lubrication with Bubbly OilDepartment of Mechanical EngineeringUniversity of PittsburghGoogle Scholar
Chan, W. K.Wong, Y. W.Ding, Y.Chua, L. P.Yu, S. C. M. 2002 Numerical in vestigation of the effect of blade geometry on blood trauma in a centrifugal blood pumpArtif. Organs 26 785CrossRefGoogle Scholar
Cheng, H. S. 1966
Chien, S.Usami, S.Dellenback, R. J.Gersen, M. I. 1967 Blood viscosity influence of erythrocite aggregationScience 157 829CrossRefGoogle Scholar
Chmiel, H. 1973 Zur Blutrheologie in Medizin und TechnikDissertation, AachenGermanyGoogle Scholar
Cho, Y. I.Kensey, K. R. 1991 Effects of non-Newtonian viscosity of blood on flows in a diseased arterial vesselBiorheology 28 41CrossRefGoogle Scholar
Christie, I.Rajagopal, K. R.Szeri, A. Z. 1987 Flow of a non-Newtonian fluid between eccentric rotating cylindersInt. J. Eng. Sci 25 1029CrossRefGoogle Scholar
Cohen, M. H.Turnbull, D. 1959 Molecular transport in liquids and gasesJ. Chem. Phys 31 1164CrossRefGoogle Scholar
Cook, R. L.Herbst, C. A.King, H. E. 1993 High-pressure viscosity of glass-forming liquids measured by the centrifugal force diamond anvil cell viscometerJ. Phys. Chem 97 2355CrossRefGoogle Scholar
Cook, R. L.King, H. E.Herbst, C. A.Herschbach, D. R. 1994 Pressure and temperature dependent viscosity of two glass forming liquids: glycerol and dibutyl phthalateJ. Chem. Phys 100 5178CrossRefGoogle Scholar
Couet, B.Brown, P.Hunt, A. 1991 Two-phase bubbly droplet flow through a contraction: experiments and a unified theoryInt. J. Multiphase Flow 17 291CrossRefGoogle Scholar
Cutler, W. G.McMickles, R. J.Webb, W.Schiessler, R. W. 1958 Study of the compressions of several high molecular weight hydrocarbonsJ. Chem. Phys 29 727CrossRefGoogle Scholar
Dalmaz, G. 1981
Dalmaz, G.Godet, M. 1978 Film thickness and effective viscosity of some fire resistant fluids in sliding point contactASME J. Lubr. Technol 100 304CrossRefGoogle Scholar
Das, B.Johnson, P. C.Popel, A. S. 1998 Effect of nonaxisymmetric hematocrit distribution on non-Newtonian blood flow in small tubesBiorheology 35 69CrossRefGoogle ScholarPubMed
Davis, M. J.Walters, K. 1973 Davenport, T.
De Wachter, D.Verdonck, P. 2002 Numerical calculation of hemolysis levels in peripheral hemodialisis cannulasArtif. Organs 26 576CrossRefGoogle Scholar
Denning, A. D.Watson, J. H. 1906 The viscosity of bloodProc. R. Soc LXXVII 328CrossRefGoogle Scholar
Deutsch, S.Phillips, W. N. M. 1977 The use of the Taylor-Couette stability problem to validate a constitutive equation for bloodBiorheolog 14 253CrossRefGoogle Scholar
Deutsch, S.Phillips, W. M.Heist, J. 1976 An interpretation of low strain rate blood viscosity measurements: a continuum approachBiorheology 13 297CrossRefGoogle ScholarPubMed
Doolittle, A. 1951 Studies in Newtonian flow. II. The dependence of viscosity of liquids on free-spaceJ. Appl. Phys 22 1471CrossRefGoogle Scholar
Dowson, D.Higginson, G. R. 1966 Elastohydrodynamic Lubrication. The Fundamentals of Roller and Gear LubricationPergamonOxfordGoogle Scholar
Drew, D. A. 1971 Averaged field equations for two-phase flow studiesAppl. Math 50 133Google Scholar
Drochon, A. 2003 Rheology of dilute suspensions of red blood cells: experimental and theoretical approachesEur. Phys. J 22 155Google Scholar
Dymond, J. H.Malhotra, R. 1988 The Tait equation: 100 years onInt. J. Thermophys 9 941CrossRefGoogle Scholar
Dyson, A. 1970 Frictional traction and lubricant rheology in elastohydrodynamic lubricationPhilos. Trans. R. Soc 266A 1170Google Scholar
Easthope, P. L. 1989 Three-dimensional dyadic Walburn-Schneck constitutive equation for bloodBiorheology 26 37CrossRefGoogle Scholar
Easthope, P. L.Brooks, D. E. 1980 A comparison of rheological constitutive functions for whole human bloodBiorheology 17 235Google ScholarPubMed
Eyring, H. 1936 Viscosity, plasticity and diffusion as examples of absolute reaction ratesJ. Chem. Phys 4 283CrossRefGoogle Scholar
Fahraeus, R.Lindqvist, T. 1931 The viscosity of the blood in narrow capillary tubesAm. J. Physiol 96 562Google Scholar
Fischer, T. M.Stohr-Liesen, M.Schmid-Schonbein, H. 1978 The red cell as fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flowScience 202 894CrossRefGoogle ScholarPubMed
Fix, G. J.Paslay, P. R. 1967 Incompressible elastic viscous lubricants in continuous-sleeve journal bearingsASME J. Applied Mech 34 579CrossRefGoogle Scholar
Fosdick, R.Rajagopal, K. R. 1979 Anomalous features in the model of second order fluidsArch. Rational Mech. Anal 70 145CrossRefGoogle Scholar
Fosdick, R.Rajagopal, K. R. 1980 Thermodynamics and stability of fluids of third gradeProc. Roy. Soc 339A 351CrossRefGoogle Scholar
Gazzola, F. 1997 A note on the solution of Navier-Stokes equations with a pressure dependent viscosityZAMP 48 760CrossRefGoogle Scholar
Gazzola, F.Secchi, P. 1998 Some results about stationary Navier-Stokes equations with a pressure dependent viscosityNavier-Stokes Equations: Theory and Numerical MethodsSalvi, R.Pitman-LongmanLondonGoogle Scholar
Giersiepen, M.Wurzinger, L. J.Opitz, R.Reul, H. 1990 Estimate of shear stress-related blood damage in heart valve prostheses – in vitro comparison of 25 aortic valvesInt. J. Artif. Organs 13 300CrossRefGoogle Scholar
Giesekus, H. 1963 Die simultane translation und rotations bewegung einer kugel in einer elastoviskosen flussigkeitRheol. Acta 4 59CrossRefGoogle Scholar
Gouse, S. W. 1966 An Index to Two-Phase Gas-Liquid Flow LiteratureMIT PressCambridge, MAGoogle Scholar
Gray, W. G. 1975 A derivation of the equations for multi-purpose transportChem. Eng. Sci 30 29CrossRefGoogle Scholar
Greenwood, J. A. 2000 In Thinning Films and Tribological InterfacesProc. Leeds-Lyon Symp. TribolElsevierLondonGoogle Scholar
Griest, E. M.Webb, W.Schiessler, R. W. 1958 Effect of pressure on viscosity of higher hydrocarbons and their mixturesJ. Chem. Phys 29 711CrossRefGoogle Scholar
Grudev, A. P.Razmakhnin, A. D. 1984 Principles of formation of lubricating film during cold rolling using emulsionsSteel USSR 15 15Google Scholar
Grudev, A. P.Razmakhnin, A. D. 1985 Cold rolling with emulsion lubricantSteel USSR 15 19Google Scholar
Hakim, S.Morshedian, J.Narenji, M. G.Nia, P. K. 2001 Rheologically modeling Caspian pony bloodIranian Polym. J 10 293Google Scholar
Hamaguchi, H.Spikes, H. A.Cameron, A. 1977 Elastohydrodynamic properties of water-in-oil emulsionsWear 43 17CrossRefGoogle Scholar
Harnoy, A.Hanin, M. 1974 Second order, elastico-viscous lubricants in dynamically loaded bearingsASLE Trans 17 166CrossRefGoogle Scholar
Harrison, G.Trachman, E. G. 1972 The role of compressional viscoelasticity in the lubrication of rolling contactsASME J. Lub. Tech 95 306CrossRefGoogle Scholar
Hayward, A. T. 1961
Henon, S.Lenormand, G.Gallet, F. 1999 A new determination of the shear modulus of the human erythrocyte membrane using an optical tweezerBiophysics J 76 1145CrossRefGoogle Scholar
Houpert, L. G.Hamrock, B. J. 1986 Fast approach for calculating film thicknesses and pressures in elastohydrodynamically lubricated contacts at high loadsASME Journal of Tribology 108 411CrossRefGoogle Scholar
Hron, J.Malek, J.Rajagopal, K. R. 2001 Simple flows of fluids with pressure-dependent viscositiesProc. Roy. Soc., Lond A457 1603CrossRefGoogle Scholar
Hsu, Y. C.Saibel, E. 1965 Slider bearing performance with a non-Newtonian lubricantTrans. ASLE 8 191CrossRefGoogle Scholar
Huilgol, R. R. 1975 On the concept of the Deborah numberTrans. Soc. Rheol 19 297CrossRefGoogle Scholar
Ishii, M. 1975 Thermo-Fluid Dynamic Theory of Two-Phase FlowsEyrollesParisGoogle Scholar
Ishikawa, T.Guimaraes, L. F. R.Oshima, S.Yamane, R. 1998 Effect of non-Newtonian property of blood on flow through a stenosed tubeFluid Dyn. Res 22 251CrossRefGoogle Scholar
Johnson, K. L.Roberts, A. D. 1974 Observation of viscoelastic behavior of an elastohydrodynamic lubricant filmProc. Roy. Soc 337A 217CrossRefGoogle Scholar
Johnson, K. L.Tevaarwerk, J. L. 1977 Shear behavior of elastohydrodynamic filmsTrans. Roy. Soc 356A 215Google Scholar
Johnson, K. L.Cameron, R. 1967 Shear behaviour of elastohydrodynamic oil films at high rolling contact pressuresProc. Instn. Mech. Engrs 182 307CrossRefGoogle Scholar
Johnson, K. L.Greenwood, J. A. 1980 Thermal analysis of an Eyring fluid in elastohydrodynamic tractionWear 61 355CrossRefGoogle Scholar
Johnson, M. W.Mangkoesoebroto, S. 1993 Analysis of lubrication theory for the power law fluidASME Journal of Tribology 115 71CrossRefGoogle Scholar
Joseph, D. D. 1989 Fluid Dynamics of Viscoelastic LiquidsSpringer-VerlagNew YorkGoogle Scholar
Kacou, A.Rajagopal, K. R.Szeri, A. Z. 1987 Flow of a fluid of the differential type in a journal bearingASME Journal of Tribology 109 100CrossRefGoogle Scholar
Kaye, A. 1962
Keller, S.Skalak, R. 1982 Motion of tank-treading ellipsoidal particle in a shear flowJ. Fluid Mech 120 27CrossRefGoogle Scholar
Kimura, Y.Okada, K. 1987 Film thickness at elastohydrodynamic conjunctions lubricated with oil-in-water emulsionsProc. IMechE C176 85Google Scholar
Krupka, I.Bair, S.Kumar, P.Hartl, M. 2009 An experimental validation of the recently discovered effect in generalized Newtonian EHLTribol. Lett 33 127CrossRefGoogle Scholar
Lee, R. T.Hamrock, B. J. 1990 A circular non-Newtonian fluid model used in transient elastohydrodynamic lubricationASME Journal of Tribology 112 486CrossRefGoogle Scholar
Leverett, L. B.Hellums, J. D.Alfrey, C. P.Lynch, E. C. 1972 Red blood cell damage by shear stressBiophysics J 12 257CrossRefGoogle ScholarPubMed
Liu, I. S. 1972 Method of Lagrange multipliers for exploitation of the entropy principleArch. Ratl. Mech. Anal 46 131CrossRefGoogle Scholar
Liu, Y.Wang, Q. J.Bair, S.Vergne, P. 2007 A quantitative solution for the full shear-thinning EHL point contact problem including tractionTribol. Letts 28 171CrossRefGoogle Scholar
Liu, Y.Wang, Q. J.Wang, W.Hu, Y.Zhu, D.Krupka, I.Hartl, M. 2006 EHL simulation using the free-volume viscosity modelTribol. Letts 23 27CrossRefGoogle Scholar
Maffettone, P. L.Minale, M. 1998 Equation of change for ellipsoidal drops in viscous flowJ. Non-Newtonian Fluid Mech 78 227CrossRefGoogle Scholar
Majhi, S. N.Usha, L.Modeling the Fahraeus-Lindqvist effect Through fluids of differential typeInt. J. Eng. Sci 26 503CrossRef
Majhi, S. N.Usha, L. 1988 Modeling the Fahraeus-Linqvist effects through fluids of a differential typeInt. J. Eng. Sci 20 503CrossRefGoogle Scholar
Malek, J.Necas, JRajagopal, K. R. 2002 Global analysis of the flow of fluids with pressure dependent viscositiesArch. Ratl. Mech. Anal 165 243Google Scholar
Malek, J.Necas, J.Rajagopal, K. R. 2002 Global existence of solutions for flows of fluids with pressure and shear dependent viscositiesAppl. Math. Lett 15 961CrossRefGoogle Scholar
Mills, N. 1966 Incompressible mixtures of Newtonian fluidsInt. J. Eng. Sci 4 97CrossRefGoogle Scholar
Mitoh, A.Yano, T.Sekine, K.Mitamura, Y.Okamoto, E.Kim, D.Yozu, Y.Kawada, S. 2003 Computational fluid dynamics analysis of an intra-cardiac axial flow pumpArtif. Organs 27 34CrossRefGoogle ScholarPubMed
Mo, L. Y. L.Yip, G.Cobbold, R. S. C.Gutt, C.Joy, M.Santyr, G. 1991 Non-Newtonian behavior of whole blood in large diameter tubeBiorheology 28 421CrossRefGoogle ScholarPubMed
Muller, I. A. 1968 A thermodynamic theory of mixtures of fluidsArch. Rational Mech. Anal 28 1CrossRefGoogle Scholar
Najji, B.Bou-Said, B.Berthe, D. 1989 New formulation for lubrication with non-Newtonian fluidsASME Journal of Tribology 111 29CrossRefGoogle Scholar
Nakahara, T.Makino, T.Kyogaka, Y. 1988 Observation of liquid droplet behavior and oil film formation in O/W type emulsion lubricationASME Journal of Tribology 110 348CrossRefGoogle Scholar
Navier, C. L. 1823 Mémoire sur les lois du mouvament des fluidesMem. Acad. R. Sci. Paris 6 389Google Scholar
Ng, C. W.Saibel, E. 1962 Non-linear viscosity effects in slider bearing lubricationASME J. Lub. Techl 7 192Google Scholar
Nunziato, J. W.Walsh, E. 1980 Arch. Rat. Mech. Anal 73 285CrossRef
Paluch, M.Dendzik, Z.Rzoska, S. J. 1999 Scaling of high-pressure viscosity data in low-molecular-weight glass-forming liquidsPhys. Rev. B 60 2979CrossRefGoogle Scholar
Paul, R.Apel, J.Klaus, S.Schugner, F.Schwindke, P.Reul, H. 2003 Shear stress related blood damage in laminar Couette flowArtif. Organs 27 517CrossRefGoogle ScholarPubMed
Phillips, W. M.Deutsch, S. 1975 Towards a constitutive equation for bloodBiorheology 22 509Google Scholar
Poiseuille, J. L. M. 1840 Researches experimentales sur le movuvement des liquides dans les tubes de tres petits diametresAcad. Sci., Comp. Rend 11 961Google Scholar
Popel, A. S.Regirer, S. A.Usick, P. I. 1974 A continuum model of blood flowBiorheology 11 427CrossRefGoogle ScholarPubMed
Quemada, D. 1982 A rheological model for studying the hematocrit dependence of red cell-red cell and cell-protein interaction in bloodBiorheology 18 501CrossRefGoogle Scholar
Quemada, D. 1993 A non-linear Maxwell model of biofluids: application to normal bloodBiorheology 30 253CrossRefGoogle ScholarPubMed
Quemada, D.Droz, R. 1983 Blood viscoelasticity and thixotropy from stress formation and relaxation measurementsBiorheology 20 635CrossRefGoogle ScholarPubMed
Raimondi, A. A. 1961 A numerical solution for the gas lubrication full journal bearing of finite lengthASLE Trans 4 131CrossRefGoogle Scholar
Rajagopal, K. R. 1984 On the creeping flow of the second order fluidJ. Non-Newtonian Fluid Mech 15 239CrossRefGoogle Scholar
Rajagopal, K. R.Szeri, A. Z. 2003 On an inconsistency in the derivation of the equations of elastohydrodynamic lubricationProc. R. Soc. Lond. A 459 2771CrossRefGoogle Scholar
Rajagopal, K. R.Tao, L. 1995 Mechanics of MixturesWorld Scientific PublishingSingaporeCrossRefGoogle Scholar
Rajagopal, K. R.Fosdick, R. L. 1980 Thermodynamics and stability of fluids of third gradeProc. R. Soc., London A339 351Google Scholar
Reiner, M.Scott-Blair, G. W. 1959 The flow of blood through narrow tubesNature 184 354CrossRefGoogle Scholar
Renardy, M. 1986 Some remarks on the Navier-Stokes equations with a pressure-dependent viscosityCommun. Partial Differential Equations 11 779CrossRefGoogle Scholar
Rodkiewicz, C. M.Sinha, P.Kennedy, J. S. 1990 On the application of a constitu tive equation for whole bloodJ. Biomech. Eng 112 198CrossRefGoogle Scholar
Rohlf, G.Tenti, G. 2001 The role of the Womersley number in pulsatile blood flow, a theoretical study of the Casson modelJ. Biomech 34 141CrossRefGoogle ScholarPubMed
Roelands, C. J. 1966 Correlation Aspects of the Viscosity-Pressure Relationship of Lubricating OilsDelft University of TechnologyNetherlandsGoogle Scholar
Roland, C. M.Bair, S.Casalini, R. 2006 Thermodynamic scaling of the viscosity of van der Waals, H-bonded, and ionic liquidsJ. Chem. Phys 100 124508CrossRefGoogle Scholar
Rose, E. A.Gelijns, A. C.Moskowitz, A. J.Heitjan, D. F.Stevenson, L. W.Dembit sky, W.Long, J. W.Ascheim, D. D.Tierney, A. R.Levitan, R. G.Watson, J. T.Meier, P. 2001 Long-term use of a left ventricular assist device for end- stage heart failureN. Engl. J. Med 345 1435CrossRefGoogle ScholarPubMed
Sallam, A. M.Hwang, N. H. 1984 Human red blood cell hemolysis in a turbulent shear flowBiorheology 21 783CrossRefGoogle Scholar
Schäfer, C. T.Giese, P.Rowe, W. B.Woolley, N. H. 1999 Elastohydrodynamically lubricated line contact based on the Navier-Stokes equationsProc. Leeds-Lyon Symp. Tribol57ElsevierLondonGoogle Scholar
Schneider, W. D.Glossfeld, D. H.DeHart, A. O. 1986
Serrin, J. 1959 Mathematical principle of classical fluid mechanicsEncyclopedia of PhysicsSpringer-VerlagBerlinGoogle Scholar
Sharp, M. K.Thurston, G. B.Moore, J. R. 1996 The effect of blood viscoelasticity on pulsatile flow in stationary and axially moving tubesBiorheology 33 185CrossRefGoogle ScholarPubMed
Sirivat, A.Rajagopal, K. R.Szeri, A. Z. 1988 An experimental investigation of the flow of non-Newtonian fluids between rotating disksJ. Fluid Mech 186 243CrossRefGoogle Scholar
Smith, F. W. 1962
Smith, L. H.Peeler, R. L.Bernd, L. H. 1960
Soo, S. L. 1967 Fluid Dynamic of Multiphase SystemsOlasidell WalthemMAGoogle Scholar
Spencer, A. J. 1970 Theory of Invariants, Continuum PhysicsEringen, A. C.Academic PressNew YorkGoogle Scholar
Stokes, G. G. 1845 On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solidsTrans. Camb. Philos. Soc 8 287Google Scholar
Sutera, S. P. 1977 Flow-induced trauma to blood cellsCirculation Res 41 2CrossRefGoogle ScholarPubMed
Takahashi, T. 1966 Friction and Lubrication in Metal-Processing. ASMENew Orleans137Google Scholar
Tanner, R. I. 1966 Plane creep flows of incompressible second order fluidPhys. Fluids 9 1246CrossRefGoogle Scholar
Tanner, R. I. 1969 Increase of bearing loads due to large normal stress differences in viscoelastic lubricantsASME J. Appl. Mech 36 634CrossRefGoogle Scholar
Tanner, R. I. 1998 Engineering RheologyClarendon PressOxfordGoogle Scholar
Tao, F. F.Philippoff, W. 1967 Hydrodynamic behavior of viscoelastic liquids in a simulated journal bearingTrans. ASLE 100 302CrossRefGoogle Scholar
Taylor, G. I. 1932 The viscosity of fluid containing small drops of another fluidProc. Roy. Soc A138 41CrossRefGoogle Scholar
Tevaarwerk, J. L.Johnson, K. L. 1979 The influence of fluid rheology on the performance of traction drivesASME J. Lub. Tech 101 266CrossRefGoogle Scholar
Thakur, R. V.Vial, C.Djelveh, G.Labbi, M. 2004 Mixing of complex fluids with flat-bladed impellers: effect of impeller geometry and highly shear-thinning bahaviorChem. Eng. Proc 43 1211CrossRefGoogle Scholar
Thurston, G. B. 1979 Rheological parameters for the viscosity, viscoelasticity and thixotropy of bloodBiorheology 16 149CrossRefGoogle Scholar
Tichy, J. A. 1978 The behavior of viscoelastic squeeze films subject to normal oscillations, including the effect of fluid inertiaAppl. Sci. Res 33 501CrossRefGoogle Scholar
Tichy, J. A. 1996 Non-Newtonian lubrication with the corrected Maxwell modelASME Journal of Tribology 118 344CrossRefGoogle Scholar
Trachman, E. G.Cheng, H. S. 1972
Truesdell, C. 1964 The natural time of a viscoelastic fluid: its significance and measurementPhys. Fluids 7 1134CrossRefGoogle Scholar
Truesdell, C. 1969 Rational ThermodynamicsMcGraw-HillNew YorkGoogle Scholar
Truesdell, C.Noll, W. 1992 The Nonlinear Field Theories of MechanicsSpringer-VerlagBerlinCrossRefGoogle Scholar
Truesdell, C.Noll, W. 1965 The Non-Linear Field Theories of Mechanics, Handbuk der PhysikSpringer-VerlagBerlinGoogle Scholar
Truesdell, C.Toupin, R. 1960 The Classical Field Theories. Handbuk der PhysikFlugge, S.Springer-VerlagBerlinGoogle Scholar
Walburn, F. J.Schneck, D. J. 1976 Constitutive relation for whole human bloodBiorheology 13 201CrossRefGoogle Scholar
Wan, G. T. Y.Kenny, P.Spikes, H. A. 1984 Elastohydrodynamic properties of water-based fire-resistant hydraulic fluidsTribol. Int 17 309CrossRefGoogle Scholar
Wang, S. H.Al-Sharif, A.Rajagopal, K. R.Szeri, A. Z. 1993 Lubrication with binary mixtures: liquid-liquid emulsion in an EHD conjunctionASME Journal of Tribology 115 515CrossRefGoogle Scholar
Wang, S. H.Szeri, A. Z.Rajagopal, K. R. 1993 Lubrication of emulsion in cold rollingASME Journal of Tribology 115 523CrossRefGoogle Scholar
Whitmore, R. L. 1968 Rheology of the CirculationPergamon PressOxfordGoogle Scholar
Williams, M. L.Landel, R. F.Ferry, J. D. 1955 The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquidsJ. Am. Chem. Soc 77 3701CrossRefGoogle Scholar
Wolff, R.Kubo, A. 1996 A generalized non-Newtonian fluid model incorporated into elastohydrodynamic lubricationASME Journal of Tribology 118 74CrossRefGoogle Scholar
Wurtzinger, L. J.Opitz, R.Eckstein, H. 1986 Mechanical blood traumaAngeiologie 38 81Google Scholar
Wurzinger, J. L.Opitz, M.Wolf, M.Schmid-Schonbein, 1985 Shear induced platelet activation a critical reappraisalBiorheology 22 399CrossRefGoogle ScholarPubMed
Yasutomi, S.Bair, S.Winer, W. O. 1984 An application of a free volume model to lubrication theoryJ. Lub. Tech 106 291Google Scholar
Yeleswarapu, K. K. 1996 Evaluation of Continuum Models for Characterizing the Constitutive Behavior of BloodUniversity of PittsburghGoogle Scholar
Yeleswarapu, K. K.Kameneva, M. V.Rajagopal, K. R.Antaki, J. F. 1998 The flow of blood in tubes: theory and experimentMech. Res. Commun 25 257CrossRefGoogle Scholar
Young, T. 1809 The Croonian lecture. On the functions of the heart and arteriesPhilos. Trans. R. Soc 99 1CrossRefGoogle Scholar
Zang, Y. 1995 EHD Lubricant Behavior at Moderate Pressures and High Shear RatesThe Johns Hopkins UniversityGoogle Scholar
Zang, Y.Ramesh, K. T. 1996 The behavior of an elastohydrodynamic lubricant at moderate pressures and high shear ratesASME Journal of. Tribology 118 162CrossRefGoogle Scholar
Zhang, J. B.Kuang, Z. B. 2000 Study on blood constitutive parameters in different blood constitutive equationsJ. Biomech 33 355CrossRefGoogle ScholarPubMed

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×