A quasi-mechanistic mathematical representation for blood viscosity.
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Blood viscosity is a crucial element for any computation of flow fields in the vasculature or blood-wetted devices. Although blood is comprised of multiple elements, and its viscosity can vary widely depending on several factors, in practical applications, it is commonly assumed to be a homogeneous, Newtonian fluid with a nominal viscosity typically of 3.5 cP. Two quasi-mechanistic models for viscosity are presented here, built on the foundation of the Krieger model of suspensions, in which dependencies on shear rate, hematocrit, and plasma protein concentrations are explicitly represented. A 3-parameter Asymptotic Krieger model (AKM) exhibited excellent agreement with published Couette experiments over four decades of shear rate (0–1000 s-1, root mean square (RMS) error = 0.21 cP). A 5-parameter Modified Krieger Model (MKM5) also demonstrated a very good fit to the data (RMS error = 1.74 cP). These models avoid discontinuities exhibited by previous models with respect to hematocrit and shear rate. In summary, the quasi-mechanistic, Modified-Krieger Model presented here offers a reasonable compromise in complexity to provide flexibility to account for several factors that affect viscosity in practical applications, while assuring accuracy and stability.
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Blood viscosity is calculated as a function of hematocrit.
“Blood viscosity is calculated according to the study (Hund et al., 2017) as a function of hematocrit.”
From Thoroughly Calibrated Modular Agent-Based Model of the Human Cardiovascular and Renal Systems for Blood Pressure Regulation in Health and Disease (2021) · cites this paper as Hund et al., 2017
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“• Blood viscosity is calculated according to the study (Hund et al., 2017) as a function of hematocrit.”
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Pressure – flow measurements of pumps used in extracorporeal life support
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Simulation of Mitral Paravalvular Leak with Respect to Hematocrit
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- Authors
- Hund, S., Kameneva, M., & Antaki, J.
- Affiliations
- Carnegie Mellon University (US)
- University of Pittsburgh (US)
- Corresponding author
- Antaki, James
- Venue
- Fluids
- Publisher
- MDPI AG
- Published
- 2017-03-01
- Volume
- 2
- Issue
- 1
- Pages
- 10
- ISSN
- 2311-5521 (ISSN-L)
- OpenAlex
- W2593502003
- Cited by
- 65
- References
- 47
- Citations by year
- 2026: 9 · 2025: 8 · 2024: 8 · 2023: 6 · 2022: 6 · 2021: 11 · 2020: 11 · 2019: 4 · 2018: 2
- FWCI
- 3.85
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Fluids (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- National Institutes of Health (HL089456)
- Topics
- Health Sciences › Medicine › Pulmonary and Respiratory Medicine › Blood properties and coagulation
- Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Rheology and Fluid Dynamics Studies
- Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
- Keywords
- blood viscosity, hematocrit, plasma protein levels, shear rate dependence, non-Newtonian blood, Couette flow
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