1. Multiphase Fluid Dynamics Simulation of Shear Induced Migration in Suspension Flows
- Author
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Noori, Mohammad and Noori, Mohammad
- Abstract
Shear-induced migration (SIM) refers to particles' tendency to move towards low shear rate regions within flowing suspensions. This irreversible phenomenon occurs primarily due to the hydrodynamic interaction between neighbouring particles and mainly affects the distribution of particles larger than 100 nm in diameter. SIM affects the performance of processes occurring in many fields, including the biomedical and chemical. In the biological health area, SIM affects the margination of platelets by red blood cells within the vessels, contributing to blood clot formation and maintaining a healthy circulatory system. In the chemical engineering field, SIM assists in preventing particle buildup on membranes in ultra-filtration technologies applied in different industries, including water, food, and pharmaceuticals. As examined in this thesis, SIM most commonly occurs due to the roughness on the surface of individual particles, leading to a permanent shift in a particle's trajectory during a hydrodynamic collision with a pair. Since particle-based direct numerical simulations (DNS) are computationally expensive, continuum modelling is the most practical approach to simulate SIM for real-world suspension flows. The most comprehensive continuum model comprises the multifluid (MF) conservation equations written for the solid and fluid phases and derived from averaging the local transport equations. However, the closure of these equations requires the specification of phase-specific stresses, whose explicit expressions in terms of average field variables have previously only been derived analytically for dilute suspensions. For semi-dilute to concentrated suspensions, a phenomenological closure has previously been used, but it has the limitation of not being frame-invariant as required for arbitrary geometry application. This closure also assumes that normal stresses in the solid and mixture phases are equal. Moreover, the phenomenological model's free parameters are calibrat
- Published
- 2024