Among them the Herschel-Bulkley model and the Bingham model ( Bird et al., 2002) are widely used to determine the rheological properties of dense suspensions. Especially for concrete, this behavior is of great importance for the material transport ( Fataei et al., 2020).Īdditionally, different models exist to describe the complex time and shear dependent rheology. It is known that the material can segregate during shear ( Spangenberg et al., 2012 Secrieru et al., 2018). Due to the complex nature of this type of suspensions, it is hardly possible to measure and determine reliable and very accurate rheological properties using the available measuring devices. Also air inclusions may lead to complicated rheological behavior during processing ( Gálvez-Moreno et al., 2019). The granular nature of those materials makes it difficult to determine rheological data. For the modelling of dense suspensions, not only the careful determination of the rheological model parameters is of great importance ( Park et al., 2005 Choi et al., 2014 De Schutter and Feys, 2016), but also the choise of the apropriate material model ( Dean et al., 2007 Roussel and Gram, 2014 Li et al., 2021). Concrete is the most widely used building material, which contains both a non-Newtonian matrix and granular constituents, thus showing a complex rheology ( Toutou and Roussel, 2007). The reliable description and modeling of those substances is important to reduce costs, processing times and to generate high quality products. Also important biological and chemical problems can be described this way ( Khan et al., 2020 Sultan et al., 2020). Also, a minor influence of the regularization model on the velocity profile is observed.ĭense granular suspensions, such as concrete, toothpaste, blood and many more, are commonly used in both industry and research. According to the results, a good agreement of data with respect to the velocity profiles for all software packages is achieved, but on the other side there are remarkable difficulties in the viscosity calculation especially in the shear- to plug-flow transition zone. Within the scope of this investigation, two common software packages from the field of FVM, namely Ansys Fluent and OpenFOAM, COMSOL Multiphysics (COMSOL) from FEM side, and HOOMD-blue.sph from the field of SPH are used to model a reference experiment and to evaluate the modeling quality. Those models can be applied to complex flows with common simulation methods, such as the Finite Volume Method (FVM), Finite Element Method (FEM) and Smoothed Particle Hydrodynamics (SPH). Two different regularization models, namely the 1) Bi-viscous, and 2) Bingham-Papanastasiou are investigated. In numerical simulations, regularization must be used to prevent singularities. Often, fresh concrete is assumed to show a Bingham-behavior. Nevertheless, it is of highest relevance to simulate these industrially important materials with sufficient accuracy. The modeling of fresh concrete flow is still very challenging. 6Institute of Applied Mechanics (MIB), University of Stuttgart, Stuttgart, Germany.5Institute of Geosciences, Applied Geology, Friedrich-Schiller-University Jena (FSU), Jena, Germany. 4Institute for Particle Technology, Technische Universität Braunschweig, Braunschweig, Germany. 3Institute of Construction Materials, Technische Universität Dresden, Dresden, Germany.2Institute of Building Materials, Concrete Construction and Fire Safety (iBMB), Technische Universität Braunschweig, Braunschweig, Germany.1Institute of Mechanics and Fluid Dynamics, TU Bergakademie Freiberg, Freiberg, Germany.In this work, we develop \textsc under different constraints for generalization considerations: big and scarce data regime, Reynolds number, and angle of attack extrapolation.M. However, despite the fast-growing field of data-driven models for physical systems, reference datasets representing real-world phenomena are lacking. It is mainly the case for fluid dynamics and the resolution of Navier–Stokes equations. Surrogate models are necessary to optimize meaningful quantities in physical dynamics as their recursive numerical resolutions are often prohibitively expensive. Florent Bonnet, Jocelyn Mazari, Paola Cinnella, Patrick Gallinari Abstract
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