Rheologica Acta

, Volume 57, Issue 11, pp 705–728 | Cite as

Evaluating rheological models for human blood using steady state, transient, and oscillatory shear predictions

  • Matthew ArmstrongEmail author
  • Jeffrey Horner
  • Michael Clark
  • Michael Deegan
  • Timothy Hill
  • Charles Keith
  • Lynne Mooradian
Original Contribution


The rheological characterization of human blood, through modeling and analysis of steady state, transient, and oscillatory shear flows, has made tremendous progress recently. Due to the aggregation of red blood cells at low shear rates, many recent models for blood rheology include a structural, thixotropic component with one of the most recent attempts unifying this approach with a viscoelastic formulation. We will show how these models, along with proposed modifications to another recent structural, kinetic thixotropy model, can improve modeling predictions. Results are compared to the Maxwell-like Bautista-Manero-Puig model, the Oldroyd-8 inspired viscoelastic Anand-Kwack-Masud model, a viscoelastic-thixotropic model from Blackwell and Ewoldt, and the Herschel-Bulkley model. We explore the weaknesses of the legacy blood models and then demonstrate the efficacy of the newly improved models for modeling human blood steady state and transient shear rheology to predict oscillatory shear flow.


Blood Thixotropy Small amplitude oscillatory shear Constitutive modeling Transient rheology 



The authors acknowledge the support and funding assistance from the U.S. Army, and the Department of Chemistry and Life Science, United States Military Academy. The authors also acknowledge support in the form of helpful and insightful discussions with Dr. Antony Beris and Dr. Norman Wagner from the University of Delaware, and Dr. Randy Ewoldt from the University of Illinois Urbana-Champaign. The views expressed herein are those of the authors and do not reflect the position of the United States Military Academy, the Department of the Army, or the Department of Defense. The authors acknowledge funding assistance from NSF CBET 1510837 which the blood was collected through.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Matthew Armstrong
    • 1
    Email author
  • Jeffrey Horner
    • 2
  • Michael Clark
    • 1
  • Michael Deegan
    • 1
  • Timothy Hill
    • 1
  • Charles Keith
    • 1
  • Lynne Mooradian
    • 1
  1. 1.Department of Chemistry and Life ScienceUnited States Military AcademyNew YorkUSA
  2. 2.Center for Molecular and Engineering Thermodynamics and Department of Chemical and Biological EngineeringUniversity of DelawareNewarkUSA

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