In our project, we explore an alternative way of expressing non-Newtonian fluid to better represent eccentric and concentric stenosis models.
The original work applied the Generalized Power Law to represent Non-Newtonian blood. In our work, we applied the Power Law.
For both Newtonian and non-Newtonian blood models, the peak shear rate occurs at the wall where the vessel exhibits the most narrowing. Additionally, a significantly higher peak shear rate with the non-Newtonian (PL) blood model is observed compared to the Newtonian model in the concentric case respectively. Similar remarks can be made for eccentric stenosis case.
The initial COMSOL simulation results demonstrate the effects of adjusting the parameter set from the original work while incorporating the Power Law. This approach provides insight into how the parameter modifications influence the system's behavior under the Power Law dynamics.
For the concentric stenosis we reported that Non-Newtonian simulated blood resulted in higher shear rates specially for higher input bulk shear rate values.
For the eccentric stenosis the difference was even more significant between the Newtonian and non-Newtonian models in our results.
Comparison of viscosity (μ) as function of bulk shear rate (γ0) between Generalized Power Law (GPL) and Power Law (PL)
Comparison of viscosity (μ) as function of bulk shear rate (γ0) between Generalized Power Low (GPL) and Power Low (PL)
Our study shows an alternative way of expressing the Non-Newtonian model of representing blood to better eccentric and concentric stenosis models. Challenges include the original work used ANSYS to run simulations whereas we used COMSOL. Future work include exploring other non-Newtonian blood models.