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• W4293577980 endingPage "104904" @default.
• W4293577980 startingPage "104904" @default.
• W4293577980 abstract "In this paper, we present a continuum modeling for three-dimensional flows of non-colloidal, non-Brownian suspensions of particles immersed in a Newtonian liquid. Such suspensions exhibit complex behaviors such as jamming, anisotropic normal stresses and shear-induced particle migration. These non-Newtonian effects arise from the solid contact forces between the particles when the suspension is sufficiently concentrated. The modeling consists of a macroscopic one-phase model close to the ”Suspension Balance Model” (Nott and Brady, 1994; Mills and Snabre, 1995; Morris and Boulay, 1999; Nott et al., 2011). The particles migration flux is governed by the divergence of the contact stresses tensor. In order to describe the flow in general 3D geometries, a frame-invariant constitutive law for the stresses in flowing suspensions is developed. It is similar to the second-order fluid modeling, which is well-known in polymer rheology, and allows for the presence of anisotropic normal stresses. The material functions are deduced from discrete simulation data from the literature. The behavior of the model in shear and extensional flows is discussed, as well as its limitations when used for a more general flow. To assess the modeling, numerical computations are performed using a finite volume method from the OpenFOAM suite. The implementation of the modeling is first validated by studying particles migration in some classical rheometric flows and then by studying the complex flow of a suspension in a tube through an abrupt expansion. • Continuum modeling of three-dimensional suspension flows is presented. • The particle migration is governed by the divergence of the contact stresses tensor. • Normal stresses modeling is inspired by the second-order fluid in polymer rheology. • The numerical implementation is performed by the finite volume method. • The model and its implementation are validated on several migration case studies." @default.
• W4293577980 created "2022-08-30" @default.
• W4293577980 creator A5006077435 @default.
• W4293577980 creator A5009294300 @default.
• W4293577980 creator A5062080206 @default.
• W4293577980 creator A5070536638 @default.
• W4293577980 date "2022-11-01" @default.
• W4293577980 modified "2023-09-30" @default.
• W4293577980 title "Frame-invariant modeling for non-Brownian suspension flows" @default.
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• W4293577980 doi "https://doi.org/10.1016/j.jnnfm.2022.104904" @default.
• W4293577980 hasPublicationYear "2022" @default.
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