![]() ![]() The book is built on careful development of theory from Lagrangian, statistical and variational principles, underpinned by strong physical reasoning. ![]() Comparing the calculated stress (torques) between the two rheometers allowed us to test the validity of the assumption that the vane could be considered as a cylinder for measuring the rheological properties of Bingham fluids.This is an unconventional, deep and broad-ranging treatment of mathematical fluid mechanics, leading to the development of SPH for complex engineering applications involving turbulent free-surface flow. Finally, a parametric study for the flow of Bingham fluids with different yield stresses in vane and coaxial cylinder rheometers was developed, and the stress and velocity profiles, especially in the vicinity of the vane blades, were computed. A comparison to experimental data is also made to verify the application of SPH method in realistic flow geometry. Numerical simulations for the flow of Newtonian fluids in 2D vane and coaxial cylinder rheometers were then performed. First, the Bingham/Papanastasiou constitutive model was implemented into the SPH approach and the code was validated by conducting a series of standard tests and comparing simulation results to well established theoretical predictions. In this study, the smoothed particle hydrodynamics (SPH) method was used to simulate the flow of Bingham fluids in 2D vane and coaxial cylinders. Due to the complex flow geometry of the vane rheometer, relating measured quantities (torque and angular velocity) to rheological properties (yield stress and viscosity), represents a challenge. A vane rheometer is commonly used to determine the rheological properties of suspensions, colloids such as cement-based materials, many of which can be described as a Bingham fluid. ![]()
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