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A non-linear fluid suspension model for blood flow.

Wei-Tao Wu1, Nadine Aubry2, James F Antaki3

  • 1School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, J.S., 210094, China.

International Journal of Non-Linear Mechanics
|August 27, 2019
PubMed
Summary

This study introduces a new non-linear blood model to simulate complex blood flow behaviors in small vessels. The model accurately captures red blood cell dynamics and rheology at reduced computational cost.

Keywords:
Blood flowCarreau-type fluidNon-linear fluidShear-thinning fluidSuspension

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Area of Science:

  • Biomedical Engineering
  • Computational Fluid Dynamics
  • Rheology

Background:

  • Blood exhibits complex rheological behaviors in microvessels, including the Fahraeus effect and plasma-skimming.
  • Understanding these phenomena is crucial for modeling blood flow accurately at the microscale.

Purpose of the Study:

  • To develop a reduced-order, non-linear suspension model for blood flow.
  • To investigate the influence of hematocrit and shear rate on blood viscosity.
  • To simulate red blood cell migration using a concentration flux equation.

Main Methods:

  • Developed a non-linear suspension model for blood.
  • Incorporated hematocrit and shear rate-dependent viscosity.
  • Utilized a concentration flux equation to model red blood cell migration.
  • Performed parametric studies on simple shear and pressure-driven flows.

Main Results:

  • The model successfully reproduces key features of two-fluid (mixture theory) models.
  • Demonstrated the ability to capture phenomena like plasma-skimming and shear-thinning.
  • Achieved significant reduction in computational cost compared to traditional models.

Conclusions:

  • The developed reduced-order model offers an efficient approach to simulate complex blood rheology.
  • This model can accurately represent red blood cell behavior and flow dynamics in microcirculation.
  • Provides a valuable tool for further research in cardiovascular fluid dynamics.