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Blood Vessel Constrictions: A Lattice-Boltzmann Consistent Comparison between Newtonian and non-Newtonian Models
Author(s): Gustavo Adolfo Orozco Alvarado, Clara Tatiana Gonzáles Hidalgo, Allan Mackie, Juan Diaz, Diego Alejandro Roa Romero
Keywords: Blood rheology, Lattice-Boltzmann, Computational Fluid Dynamics, Non-Newtonian models, Simultaneous Optimization
Lattice Boltzmann simulations have been carried out in order to study the flow of blood in normal and constricted blood vessels using Newtonian and non-Newtonian rheological models. Instead of using parameters from previous works as is tipically done, we propose a new optimization methodology that provides in a consistent manner the complete set of parameters for the studied models, namely Newtonian, Carreau-Yassuda and Kuang-Luo. The optimization was performed simultaneously using experimental data from several sources. Physical observables such as velocity profiles, shear rate profiles and pressure fields were evaluated. For the normal vessel case, it was found that the Newtonian model predicts both the highest velocity and shear rates profiles followed by the Carreau-Yassuda and the Kuang-Luo models. For a constricted vessel, important differences were found in the velocity profiles among the studied models. First, the Newtonian model was observed to predict the velocity profile maximum at different vessel width positions compared to the non-Newtonian ones. Second, the obtained recirculation region was found to be longer for the Newtonian models. Finally, concerning the constriction shape, the global velocity was found to be lower for a rectangular geometry than for a semi-circular one.