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Numerical simulation of blood flow through a capillary using a non-linear viscoelastic model
Amin Shariatkhah1, Mahmood Norouzi1, Mohammad Reza Heyrani Nobari2
1Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran.
Clinical Hemorheology and Microcirculation
|September 28, 2015
Summary
This study simulates unsteady blood flow in capillaries using a non-linear viscoelastic model for the first time. The Giesekus model accurately captures experimental data, outperforming Newtonian and Oldroyd-B models.
Area of Science:
- Fluid dynamics
- Biomedical engineering
- Computational modeling
Background:
- Previous studies on blood flow in capillaries were limited to linear or quasi-linear viscoelastic models.
- Accurate modeling of non-Newtonian fluid behavior, like blood, is crucial for understanding capillary dynamics.
Purpose of the Study:
- To simulate periodic developing blood flow in a capillary using a non-linear viscoelastic model.
- To determine optimal parameters for the Giesekus model based on experimental data.
- To compare the Giesekus model with Oldroyd-B and Newtonian models for blood flow simulation.
Main Methods:
- Utilized the Giesekus non-linear viscoelastic model as the constitutive equation.
- Employed the finite volume method for numerical solutions.
- Implemented the Pressure Implicit with Splitting of Operators (PISO) algorithm.
Main Results:
- The Giesekus model provided a more accurate simulation of stress and velocity fields compared to Newtonian and Oldroyd-B models.
- Derived optimal values for the mobility factor and zero shear rate viscosity using experimental data.
- Demonstrated that non-linear viscoelastic models are essential for accurately describing unsteady blood flow in capillaries.
Conclusions:
- Non-linear viscoelastic models, specifically the Giesekus model, are necessary for accurately simulating unsteady blood flow in capillaries.
- The Giesekus model offers superior accuracy over simpler models for this complex physiological flow.
- This research advances the computational understanding of blood rheology in microcirculation.
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