Blood rheology in shear and uniaxial elongation

Despite being at the same time a very common and precious fluid, the rheological properties of blood have not been thoroughly investigated. In this manuscript, the rheology of swine blood is characterized. The rheology study is performed in shear flow and in uniaxial elongation. Measurements show that blood is a shear-thinning and viscoelastic fluid. The relaxation time and elongational viscosity of blood are measured. The relaxation time is found in agreement with a recent measurement by Brust et al. (2013). It is shown for the first time that the elongational viscosity can be 1000 times higher than the shear viscosity. Implications in biology and forensics are described.

[1]  M. Tiwari,et al.  Elongational and shear rheology of carbon nanotube suspensions , 2009 .

[2]  Khandakar Niaz Morshed,et al.  Theory to Predict Shear Stress on Cells in Turbulent Blood Flow , 2014, PloS one.

[3]  Barbara M. Johnston,et al.  Non-Newtonian blood flow in human right coronary arteries: steady state simulations. , 2004, Journal of biomechanics.

[4]  Daniel Attinger,et al.  Fluid dynamics topics in bloodstain pattern analysis: comparative review and research opportunities. , 2013, Forensic science international.

[5]  A. Yarin,et al.  Shear and Elongational Rheology of Gypsum Slurries , 2011 .

[6]  P. Gennes.  Coil-stretch transition of dilute flexible polymers under ultrahigh velocity gradients , 1974 .

[7]  G. McKinley,et al.  ‘Gobbling drops’: the jetting–dripping transition in flows of polymer solutions , 2009, Journal of Fluid Mechanics.

[8]  S. Sowemimo-Coker,et al.  Red cell aggregation and viscoelasticity of blood from seals, swine and man. , 1990, Biorheology.

[9]  S Chien,et al.  Viscoelastic properties of human blood and red cell suspensions. , 1975, Biorheology.

[10]  A. Yarin.  Drop Impact Dynamics: Splashing, Spreading, Receding, Bouncing ... , 2006 .

[11]  R. Reitz,et al.  DROP AND SPRAY FORMATION FROM A LIQUID JET , 1998 .

[12]  Law. Policy.  Executive Summary of the National Academies of Science Reports, Strengthening Forensic Science in the United States: A Path Forward , 2009 .

[13]  Terry L. Laber,et al.  HIGH SPEED DIGITAL VIDEO ANALYSIS OF BLOODSTAIN PATTERN FORMATION FROM COMMON BLOODLETTING MECHANISMS , 2008 .

[14]  M. Rein.  Phenomena of liquid drop impact on solid and liquid surfaces , 1993 .

[15]  A. Leuprecht,et al.  Computer Simulation of Non-Newtonian Effects on Blood Flow in Large Arteries , 2001, Computer methods in biomechanics and biomedical engineering.

[16]  David V. Boger,et al.  A drop impact study of worm-like viscoelastic surfactant solutions , 2002 .

[17]  R. A. Wentzell,et al.  Hydrodynamic and Hydromagnetic Stability. By S. CHANDRASEKHAR. Clarendon Press: Oxford University Press, 1961. 652 pp. £5. 5s. , 1962, Journal of Fluid Mechanics.

[18]  R M Hochmuth,et al.  Shear-induced aggregation and lysis of platelets. , 1976, Transactions - American Society for Artificial Internal Organs.

[19]  V. L. Clark,et al.  Clinical Methods: The History, Physical, and Laboratory Examinations , 1990 .

[20]  Djamel Lakehal,et al.  Adherence and bouncing of liquid droplets impacting on dry surfaces , 2008 .

[21]  Seeram Ramakrishna,et al.  Fundamentals and Applications of Micro- and Nanofibers , 2014 .

[22]  Zhigang Li,et al.  Bouncing droplets on nonsuperhydrophobic surfaces. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Sanjeev Chandra,et al.  An Evaluation of the Underlying Mechanisms of Bloodstain Pattern Analysis Error , 2011, Journal of forensic sciences.

[24]  Ross Gardner,et al.  Bloodstain Pattern Analysis: With an Introduction to Crime Scene Reconstruction, Second Edition , 1997 .

[25]  Chunfeng Zhou,et al.  Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing , 2006, J. Comput. Phys..

[26]  Robert J. Poole,et al.  Development-Length Requirements for Fully Developed Laminar Pipe Flow of Inelastic Non-Newtonian Liquids , 2007 .

[27]  Mehmet Yasar Gundogdu,et al.  A critical review on blood flow in large arteries; relevance to blood rheology, viscosity models, and physiologic conditions , 2008 .

[28]  V. Bertola.  An experimental study of bouncing Leidenfrost drops: Comparison between Newtonian and viscoelastic liquids , 2009 .

[29]  D. Joseph,et al.  Breakup of a liquid drop suddenly exposed to a high-speed airstream , 1999 .

[30]  Dimos Poulikakos,et al.  TRANSPORT PHENOMENA IN THE IMPACT OF A MOLTEN DROPLET ON A SURFACE: MACROSCOPIC PHENOMENOLOGY AND MICROSCOPIC CONSIDERATIONS PART I: FLUID DYNAMICS , 2000 .

[31]  A. Copley,et al.  Effects of hematocrit on thixotropic properties of human blood. , 1987, Biorheology.

[32]  L. Dintenfass.  Viscometry of Human Blood for Shear Rates of 0–100,000 sec−1 , 1966, Nature.

[33]  H Schmid-Schönbein,et al.  Platelet and Coagulation Parameters Following Millisecond Exposure to Laminar Shear Stress , 1985, Thrombosis and Haemostasis.

[34]  Robin Fåhræus,et al.  THE VISCOSITY OF THE BLOOD IN NARROW CAPILLARY TUBES , 1931 .

[35]  T. Jiang,et al.  The SPH method for simulating a viscoelastic drop impact and spreading on an inclined plate , 2010 .

[36]  Pierre J. Carreau,et al.  Influence of elastic properties on drop deformation and breakup in shear flow , 1998 .

[37]  John Foss,et al.  Springer Handbook of Experimental Fluid Mechanics , 2007 .

[38]  RBC aggregation: laboratory data and models. , 2007, Indian journal of experimental biology.

[39]  P. Arratia,et al.  Rheology of human blood plasma: viscoelastic versus Newtonian behavior. , 2013, Physical review letters.

[40]  Dimos Poulikakos,et al.  Computational simulation of a non-newtonian model of the blood separation process. , 2005, Artificial organs.

[41]  L. Cerny,et al.  Rheology of blood. , 1962, The American journal of physiology.

[42]  L Zuckerman,et al.  Shear-induced activation of platelets. , 1979, Journal of biomechanics.

[43]  E. W. Errill.  Rheology of blood. , 1969, Physiological reviews.

[44]  U. Windberger,et al.  Whole Blood Viscosity, Plasma Viscosity and Erythrocyte Aggregation in Nine Mammalian Species: Reference Values and Comparison of Data , 2003, Experimental physiology.

[45]  James Freeman Steffe,et al.  Rheological Methods in Food Process Engineering , 1992 .

[46]  R. Skalak,et al.  Microscopic observations of viscoelasticity of human blood in steady and oscillatory shear. , 1975, Biorheology.

[47]  J. W. Hoyt,et al.  Turbulence structure in a water jet discharging in air , 1977 .

[48]  W. Sharpe.  Springer Handbook of Experimental Solid Mechanics , 2008 .

[49]  Kohsei Takehara,et al.  High-Speed Imaging of Drops and Bubbles , 2008 .

[50]  Darrell H. Reneker,et al.  Electrospinning of Nanofibers from Polymer Solutions and Melts , 2007 .

[51]  Martin E. R. Shanahan,et al.  Viscoelastic effects in the spreading of liquids , 1996, Nature.

[52]  C. Allain,et al.  Regular patterns of cracks formed by directional drying of a collodial suspension. , 1995, Physical review letters.

[53]  A. Buguin,et al.  Bouncing or sticky droplets: Impalement transitions on superhydrophobic micropatterned surfaces , 2005, cond-mat/0510773.

[54]  A. Beris,et al.  Modeling of the blood rheology in steady-state shear flows , 2014 .

[55]  E. Villermaux,et al.  Physics of liquid jets , 2008 .

[56]  A. Yarin.  Free Liquid Jets and Films: Hydrodynamics and Rheology , 1993 .