Abstract
In this paper, a symmetry particle method, the smoothed particle hydrodynamics (SPH) method, is extended to deal with non‐Newtonian fluids. First, the viscous liquid is modeled by a non‐Newtonian fluid flow and the variable viscosity under shear stress is determined by the Carreau‐Yasuda model. Then a pressure correction method is proposed, by correcting density error with individual stiffness parameters for each particle, to ensure the incompressibility of fluid. Finally, an implicit method is used to improve efficiency and stability. It is found that the nonNewtonian behavior can be well displayed in all cases, and the proposed SPH algorithm is stable and efficient.
Highlights
Non-Newtonian fluid is widely presented in industry, mining engineering, food processing, and many other fields in cases such as pit filled paste, blood, honey, etc
The viscous liquid is modeled by a non-Newtonian fluid flow, and the variable viscosity under shear stress is achieved using a viscosity model known as the Carreau-Yasuda model
We proposed a novel symmetry particle-based method for non-Newtonian fluid, where the variable viscosity is decided by the Carreau-Yasuda Model
Summary
Non-Newtonian fluid is widely presented in industry, mining engineering, food processing, and many other fields in cases such as pit filled paste, blood, honey, etc. The physical nature of non-Newtonian fluid is very complicated. It is pretty difficult to exactly simulate non-Newtonian fluid. In recent years, smoothed particle hydrodynamics (SPHs) [2] has become an important Lagrangian method for industrial flow simulation [3] and computational fluid dynamics [4,5]. There are several difficulties to simulating non-Newtonian fluids. Due to the non-linear relationship between viscosity and shear force, the adequate physical equations and stable approximate simulation method should be re-established for non-Newtonian fluids. Due to the complicated physical equations of non-Newtonian fluids, a small time step is necessary, which proves to be rather time-consuming. A novel non-Newtonian fluid simulation method for SPH is proposed in this article. The viscous liquid is modeled by a non-Newtonian fluid flow, and the variable viscosity under shear stress is achieved using a viscosity model known as the Carreau-Yasuda model.
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