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Volumn 163, Issue 1-3, 2009, Pages 45-61

On the high frequency oscillatory tube flow of healthy human blood

Author keywords

Flow rate enhancement; High frequency oscillations; Multiple time scales; Non homogeneous blood flow; Resonance

Indexed keywords

AGGREGATE SIZE; ASYMPTOTIC EXPRESSIONS; ASYMPTOTIC SOLUTIONS; BIORHEOLOGY; CELL NUMBER DENSITY; COMPLEX VISCOSITY; CONSTANT VOLUMES; ELASTIC SHEAR STRESS; ELASTIC STRESS; EXPERIMENTAL DATA; HEALTHY HUMANS; HIGH FREQUENCY; HIGH FREQUENCY OSCILLATIONS; HUMAN BLOODS; IN-PHASE; LEADING ORDERS; LINEAR VISCOELASTIC; LINEAR VISCOELASTIC FLUIDS; MULTIPLE TIME SCALE; MULTIPLE TIME SCALES; NON-HOMOGENEOUS; NON-HOMOGENEOUS BLOOD FLOW; NON-NEWTONIAN FLUIDS; OSCILLATORY FLOWS; OSCILLATORY FREQUENCY; OUT OF PHASE; RADIAL COMPONENT; RED BLOOD CELL; RED CELLS; RESONANT FREQUENCIES; TUBE FLOW; VERY HIGH FREQUENCY; VOLUME FLOW RATE;

EID: 70350235233     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2009.06.005     Document Type: Article
Times cited : (12)

References (47)
  • 1
    • 84938579767 scopus 로고    scopus 로고
    • The American Heart Association, Target Heart Rates, http://www.americanheart.org.
    • Target Heart Rates
  • 2
    • 0033690314 scopus 로고    scopus 로고
    • Resonance behavior of viscoelastic fluids in Poiseuille flow and application to flow enhancement
    • Andrienko Y.A., Siginer D.A., and Yanovsky Y.G. Resonance behavior of viscoelastic fluids in Poiseuille flow and application to flow enhancement. Int. J. Non-Linear Mech. 35 (2000) 95-102
    • (2000) Int. J. Non-Linear Mech. , vol.35 , pp. 95-102
    • Andrienko, Y.A.1    Siginer, D.A.2    Yanovsky, Y.G.3
  • 3
    • 0037084421 scopus 로고    scopus 로고
    • Non-linear temporal stability analysis of viscoelastic plane channel flows using a fully spectral method
    • Atali{dotless}k K., and Keunings R. Non-linear temporal stability analysis of viscoelastic plane channel flows using a fully spectral method. J. Non-Newtonian Fluid Mech. 102 (2002) 299-319
    • (2002) J. Non-Newtonian Fluid Mech. , vol.102 , pp. 299-319
    • Atalik, K.1    Keunings, R.2
  • 5
    • 0001282683 scopus 로고
    • Kinetic theory and rheology of dilute, non-homogeneous polymer solutions
    • Bhave A.V., Armstrong R.C., and Brown R.A. Kinetic theory and rheology of dilute, non-homogeneous polymer solutions. J. Chem. Phys. 95 (1991) 2988-3000
    • (1991) J. Chem. Phys. , vol.95 , pp. 2988-3000
    • Bhave, A.V.1    Armstrong, R.C.2    Brown, R.A.3
  • 6
    • 33645090462 scopus 로고
    • On the hydrodynamics of viscoelastic fluids
    • Broer L.J.F. On the hydrodynamics of viscoelastic fluids. Appl. Sci. Res. A6 (1957) 226-236
    • (1957) Appl. Sci. Res. , vol.A6 , pp. 226-236
    • Broer, L.J.F.1
  • 7
    • 0019224195 scopus 로고
    • Rheological hysteresis of blood at low shear rate
    • Bureau M., Healy J.C., Bourgoin D., and Joly M. Rheological hysteresis of blood at low shear rate. Biorheology 17 (1980) 191-203
    • (1980) Biorheology , vol.17 , pp. 191-203
    • Bureau, M.1    Healy, J.C.2    Bourgoin, D.3    Joly, M.4
  • 8
    • 0346934969 scopus 로고    scopus 로고
    • Experimental observation of dramatic differences in the dynamic response of Newtonian and Maxwellian fluids
    • 046301-1-046301-5
    • Castrejón-Pita J.R., del Río J.A., Castrejón-Pita A.A., and Huelsz G. Experimental observation of dramatic differences in the dynamic response of Newtonian and Maxwellian fluids. Phys. Rev. E 68 (2003) 046301-1-046301-5
    • (2003) Phys. Rev. E , vol.68
    • Castrejón-Pita, J.R.1    del Río, J.A.2    Castrejón-Pita, A.A.3    Huelsz, G.4
  • 10
    • 1642414333 scopus 로고    scopus 로고
    • Slippage and migration in models of dilute wormlike micellar solutions and polymeric fluids
    • Cook L.P., and Rossi L.F. Slippage and migration in models of dilute wormlike micellar solutions and polymeric fluids. J. Non-Newtonian Fluid Mech. 116 (2004) 347-369
    • (2004) J. Non-Newtonian Fluid Mech. , vol.116 , pp. 347-369
    • Cook, L.P.1    Rossi, L.F.2
  • 11
    • 0015189698 scopus 로고
    • Frequency dependence of blood viscosity in oscillatory flow
    • Coulter N.A., and Singh Jr. M. Frequency dependence of blood viscosity in oscillatory flow. Biorheology 8 (1971) 115-124
    • (1971) Biorheology , vol.8 , pp. 115-124
    • Coulter, N.A.1    Singh Jr., M.2
  • 12
    • 0000156563 scopus 로고
    • Correlation of dynamic and steady flow viscosities
    • Cox W.P., and Merz E.H. Correlation of dynamic and steady flow viscosities. J. Polym. Sci. 28 (1958) 619-622
    • (1958) J. Polym. Sci. , vol.28 , pp. 619-622
    • Cox, W.P.1    Merz, E.H.2
  • 13
    • 0001687823 scopus 로고    scopus 로고
    • Enhancement in the dynamic response of a viscoelastic fluid flowing in a tube
    • (Erratum: Phys. Rev. E. 64 (2001) 039901)
    • del Ro J.A., Lpez de Haro M., and Whitaker S. Enhancement in the dynamic response of a viscoelastic fluid flowing in a tube. Phys. Rev. E 58 (1998) 6323-6327 (Erratum: Phys. Rev. E. 64 (2001) 039901)
    • (1998) Phys. Rev. E , vol.58 , pp. 6323-6327
    • del Ro, J.A.1    Lpez de Haro, M.2    Whitaker, S.3
  • 14
    • 0001422594 scopus 로고
    • The suspension stability of the blood
    • Fåhraeus R. The suspension stability of the blood. Physiol. Rev. 9 (1929) 241-274
    • (1929) Physiol. Rev. , vol.9 , pp. 241-274
    • Fåhraeus, R.1
  • 15
    • 0001331302 scopus 로고
    • The viscosity of blood in narrow capillary tubes
    • Fåhraeus R., and Lindqvist T. The viscosity of blood in narrow capillary tubes. Am. J. Physiol. 96 (1931) 562-568
    • (1931) Am. J. Physiol. , vol.96 , pp. 562-568
    • Fåhraeus, R.1    Lindqvist, T.2
  • 16
    • 33750073202 scopus 로고    scopus 로고
    • Numerical simulations of pulsatile blood flow using a new constitutive model
    • Fang J., and Owens R.G. Numerical simulations of pulsatile blood flow using a new constitutive model. Biorheology 43 (2006) 637-660
    • (2006) Biorheology , vol.43 , pp. 637-660
    • Fang, J.1    Owens, R.G.2
  • 18
    • 0342536164 scopus 로고
    • In vivo studies of pulsatile blood flow: The relationship of the pressure gradient to the blood velocity
    • Attinger E.O. (Ed), McGraw-Hill, New York
    • Fry D.L., Griggs D.M., and Greenfield J.C. In vivo studies of pulsatile blood flow: The relationship of the pressure gradient to the blood velocity. In: Attinger E.O. (Ed). Pulsatile Blood Flow (1964), McGraw-Hill, New York
    • (1964) Pulsatile Blood Flow
    • Fry, D.L.1    Griggs, D.M.2    Greenfield, J.C.3
  • 20
    • 50349148252 scopus 로고
    • Het gedrag van macromoleculen in een stroomende vloeistof
    • Kramers H.A. Het gedrag van macromoleculen in een stroomende vloeistof. Physica 11 (1944) 1-19
    • (1944) Physica , vol.11 , pp. 1-19
    • Kramers, H.A.1
  • 21
    • 55949084751 scopus 로고
    • Non-Newtonian behavior of blood in oscillatory flow
    • Kunz A.L., and Coulter Jr. N.A. Non-Newtonian behavior of blood in oscillatory flow. Biophys. J. 7 (1967) 25-36
    • (1967) Biophys. J. , vol.7 , pp. 25-36
    • Kunz, A.L.1    Coulter Jr., N.A.2
  • 22
    • 20344387190 scopus 로고    scopus 로고
    • On the linear stability of plane Couette flow for an Oldroyd-B fluid and its numerical approximation
    • Kupferman R. On the linear stability of plane Couette flow for an Oldroyd-B fluid and its numerical approximation. J. Non-Newtonian Fluid Mech. 127 (2005) 169-190
    • (2005) J. Non-Newtonian Fluid Mech. , vol.127 , pp. 169-190
    • Kupferman, R.1
  • 24
    • 50649086378 scopus 로고    scopus 로고
    • Kinematic instabilities in two-layer eccentric annular flows. Part 1. Newtonian fluids
    • Moyers-Gonzalez M.A., and Frigaard I.A. Kinematic instabilities in two-layer eccentric annular flows. Part 1. Newtonian fluids. J. Eng. Math. 62 (2008) 103-131
    • (2008) J. Eng. Math. , vol.62 , pp. 103-131
    • Moyers-Gonzalez, M.A.1    Frigaard, I.A.2
  • 25
    • 57149111089 scopus 로고    scopus 로고
    • A non-homogeneous constitutive model for human blood. Part I. Model derivation and steady flow
    • Moyers-Gonzalez M.A., Owens R.G., and Fang J. A non-homogeneous constitutive model for human blood. Part I. Model derivation and steady flow. J. Fluid Mech. 617 (2008) 327-354
    • (2008) J. Fluid Mech. , vol.617 , pp. 327-354
    • Moyers-Gonzalez, M.A.1    Owens, R.G.2    Fang, J.3
  • 26
    • 56049106340 scopus 로고    scopus 로고
    • A non-homogeneous constitutive model for human blood. Part II. Asymptotic solution for large Péclet numbers
    • Moyers-Gonzalez M.A., and Owens R.G. A non-homogeneous constitutive model for human blood. Part II. Asymptotic solution for large Péclet numbers. J. Non-Newtonian Fluid Mech. 155 (2008) 146-160
    • (2008) J. Non-Newtonian Fluid Mech. , vol.155 , pp. 146-160
    • Moyers-Gonzalez, M.A.1    Owens, R.G.2
  • 27
    • 55949088463 scopus 로고    scopus 로고
    • A non-homogeneous constitutive model for human blood. Part III. Oscillatory flow
    • Moyers-Gonzalez M.A., Owens R.G., and Fang J. A non-homogeneous constitutive model for human blood. Part III. Oscillatory flow. J. Non-Newtonian Fluid Mech. 155 (2008) 161-173
    • (2008) J. Non-Newtonian Fluid Mech. , vol.155 , pp. 161-173
    • Moyers-Gonzalez, M.A.1    Owens, R.G.2    Fang, J.3
  • 28
    • 0023917275 scopus 로고
    • Effects of shear rate on rouleau formation in simple shear flow
    • Murata T., and Secomb T.W. Effects of shear rate on rouleau formation in simple shear flow. Biorheology 25 (1988) 113-122
    • (1988) Biorheology , vol.25 , pp. 113-122
    • Murata, T.1    Secomb, T.W.2
  • 29
    • 33750086438 scopus 로고    scopus 로고
    • A new microstructure-based constitutive model for human blood
    • Owens R.G. A new microstructure-based constitutive model for human blood. J. Non-Newtonian Fluid Mech. 140 (2006) 57-70
    • (2006) J. Non-Newtonian Fluid Mech. , vol.140 , pp. 57-70
    • Owens, R.G.1
  • 31
    • 0025140634 scopus 로고
    • Blood flow in microvascular networks. Experiments and simulation
    • Pries A.R., Secomb T.W., Gaehtgens P., and Gross J.F. Blood flow in microvascular networks. Experiments and simulation. Circ. Res. 67 (1990) 826-834
    • (1990) Circ. Res. , vol.67 , pp. 826-834
    • Pries, A.R.1    Secomb, T.W.2    Gaehtgens, P.3    Gross, J.F.4
  • 33
    • 33744830576 scopus 로고    scopus 로고
    • Slippage and migration in Taylor-Couette flow of a model for dilute wormlike micellar solutions
    • Rossi L.F., McKinley G., and Cook L.P. Slippage and migration in Taylor-Couette flow of a model for dilute wormlike micellar solutions. J. Non-Newtonian Fluid Mech. 136 (2006) 79-92
    • (2006) J. Non-Newtonian Fluid Mech. , vol.136 , pp. 79-92
    • Rossi, L.F.1    McKinley, G.2    Cook, L.P.3
  • 35
    • 0007029809 scopus 로고
    • On some nearly viscometric flows of viscoelastic liquids
    • Siginer A. On some nearly viscometric flows of viscoelastic liquids. Rheol. Acta 30 (1991) 447-473
    • (1991) Rheol. Acta , vol.30 , pp. 447-473
    • Siginer, A.1
  • 36
    • 0012132382 scopus 로고
    • Theory of oscillation of a viscoelastic fluid in a circular tube
    • Thurston G.B. Theory of oscillation of a viscoelastic fluid in a circular tube. J. Acoust. Soc. Am. 32 (1960) 210-213
    • (1960) J. Acoust. Soc. Am. , vol.32 , pp. 210-213
    • Thurston, G.B.1
  • 37
    • 0015890719 scopus 로고
    • Frequency and shear rate dependence of viscoelasticity of human blood
    • Thurston G.B. Frequency and shear rate dependence of viscoelasticity of human blood. Biorheology 10 (1973) 375-381
    • (1973) Biorheology , vol.10 , pp. 375-381
    • Thurston, G.B.1
  • 38
    • 0016632777 scopus 로고
    • Elastic effects in pulsatile blood flow
    • Thurston G.B. Elastic effects in pulsatile blood flow. Microvasc. Res. 9 (1975) 145-157
    • (1975) Microvasc. Res. , vol.9 , pp. 145-157
    • Thurston, G.B.1
  • 39
    • 0017129368 scopus 로고
    • The effects of frequency of oscillatory flow on the impedance of rigid, blood-filled tubes
    • Thurston G.B. The effects of frequency of oscillatory flow on the impedance of rigid, blood-filled tubes. Biorheology 13 (1976) 191-199
    • (1976) Biorheology , vol.13 , pp. 191-199
    • Thurston, G.B.1
  • 41
    • 0035305776 scopus 로고    scopus 로고
    • Enhancement in the dynamic response of a viscoelastic fluid flowing through a longitudinally vibrating tube
    • 046304-1-4
    • Tsiklauri D., and Beresnev I. Enhancement in the dynamic response of a viscoelastic fluid flowing through a longitudinally vibrating tube. Phys. Rev. E 63 (2001) 046304-1-4
    • (2001) Phys. Rev. E , vol.63
    • Tsiklauri, D.1    Beresnev, I.2
  • 42
    • 0025445674 scopus 로고
    • On the eigenvalues of second-order spectral differentiation operators
    • Vandeven H. On the eigenvalues of second-order spectral differentiation operators. Comput. Appl. Mech. Eng. 80 (1990) 313-318
    • (1990) Comput. Appl. Mech. Eng. , vol.80 , pp. 313-318
    • Vandeven, H.1
  • 43
    • 0001399844 scopus 로고
    • The eigenvalues of second-order spectral differentiation matrices
    • Weideman J.A.C., and Trefethen L.N. The eigenvalues of second-order spectral differentiation matrices. SIAM J. Numer. Anal. 25 (1988) 1279-1298
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 1279-1298
    • Weideman, J.A.C.1    Trefethen, L.N.2
  • 44
    • 55249091059 scopus 로고
    • Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known
    • Womersley J.R. Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J. Physiol. 127 (1955) 553-563
    • (1955) J. Physiol. , vol.127 , pp. 553-563
    • Womersley, J.R.1
  • 45
    • 0003534827 scopus 로고
    • An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries
    • 56-614, Wright Air Development Center, Ohio
    • J.R. Womersley, An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries, Wright Air Development Center Technical Report WADC-TR 56-614, Wright Air Development Center, Ohio, 1957.
    • (1957) Wright Air Development Center Technical Report WADC-TR
    • Womersley, J.R.1
  • 46
    • 32144446304 scopus 로고    scopus 로고
    • Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model
    • Yin Y., and Zhu K.-Q. Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model. Appl. Math. Comput. 173 (2006) 231-242
    • (2006) Appl. Math. Comput. , vol.173 , pp. 231-242
    • Yin, Y.1    Zhu, K.-Q.2


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