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A homogenized two-phase computational framework for meso- and macroscale blood flow simulations
Abhishek Karmakar1, Greg W Burgreen2, Grant Rydquist3
1Department of Biomedical Engineering, Cornell University, Ithaca, NY, USA.
Computer Methods and Programs in Biomedicine
|February 23, 2024
Summary
This study introduces a new computational model for blood flow that simplifies complex rheology while maintaining detailed flow resolution. The model accurately predicts red blood cell behavior in various microfluidic conditions.
Area of Science:
- Computational fluid dynamics
- Biomedical engineering
- Hemodynamics
Background:
- Modeling blood flow is crucial due to its complex rheology.
- Existing computational fluid dynamic models face challenges with scalability when incorporating thrombosis and embolization.
- A need exists for computationally efficient blood flow models that retain high flow resolution.
Purpose of the Study:
- To present a homogenized two-phase blood flow framework.
- To develop a model with single-fluid characteristics but two-fluid resolution.
- To validate the framework against experimental data.
Main Methods:
- Utilized a classical diffusion-flux framework for computational efficiency.
- Proposed a modified slip velocity equation derived from two-fluid governing equations.
- Incorporated new hematocrit-dependent expressions for drag and lift forces on red blood cells (RBCs).
- Discretized and solved equations using OpenFOAM.
Main Results:
- Validated the framework against four distinct experimental setups.
- Demonstrated accurate prediction of RBC velocity profiles and hematocrit distributions in microchannels.
- Showcased good agreement with experimental data for cell-free layer thickness and hematocrit contours.
- Successfully predicted experimental hematocrit distributions in a left ventricular assist device-mimicking channel.
Conclusions:
- The developed framework efficiently models multiscale blood flow physics.
- It leverages numerical techniques suitable for single-phase flow simulations.
- The model is well-suited for complex applications like thrombosis and embolization studies.

