Numerical Simulation of a Non-Newtonian Fluid-Solid Interaction

Abstract

Understanding a solid interaction into the blood flow has become an important and multidisciplinary research area due to its significance, different mechanisms and fluid-solid characteristics. This field becomes more challenging when is required analyse the specific flow surrounding the solid or when this solid phase develops within a blood vessel, such as thrombosis. Furthermore, some fluid properties, including viscosity or density, depend on the detailed platelets composition and other components within the fluid. Then, this dependency adds another layer of complexity to the modelling process. Consequently, the solid structure needs a carefully treatment, as a completely rigid, unchanging and dynamically responds to external fluid forces. Based on this, the present work employs the computational framework of the Immersed Finite Element Method (IFEM), which is particularly adapted for simulating fluid-solid interactions (FSI) by providing a robust approach to modelling the solid as an average-sized outlined, while simultaneously treating the liquid phase as a non-Newtonian, which accurately represents the behaviour of blood flow. The method adopted aim to evaluate the physics around the solid structure, including forces such as pressure and tensions, which are generated by the dynamic of the complex patterns of blood flow. The main objective is to analyse the interaction between the flow and a solid obstacle due the influence of a curvature domain and boundary flow field effects. However, the methodology combines mathematical frameworks, computational techniques and numerical methods with a real-world phenomenon. Considering the comparison results presented, the present study holds practical applications of fluid-solid interactions applying in the blood flow.