Title
Hybrid Lattice Boltzmann/Finite Difference simulations of viscoelastic multicomponent flows in confined geometries
Abstract
We propose numerical simulations of viscoelastic fluids based on a hybrid algorithm combining Lattice-Boltzmann models (LBM) and Finite Differences (FD) schemes, the former used to model the macroscopic hydrodynamic equations, and the latter used to model the polymer dynamics. The kinetics of the polymers is introduced using constitutive equations for viscoelastic fluids with finitely extensible non-linear elastic dumbbells with Peterlin's closure (FENE-P). The numerical model is first benchmarked by characterizing the rheological behavior of dilute homogeneous solutions in various configurations, including steady shear, elongational flows, transient shear and oscillatory flows. As an upgrade of complexity, we study the model in presence of non-ideal multicomponent interfaces, where immiscibility is introduced in the LBM description using the \"Shan-Chen\" interaction model. The problem of a confined viscoelastic (Newtonian) droplet in a Newtonian (viscoelastic) matrix under simple shear is investigated and numerical results are compared with the predictions of various theoretical models. The proposed numerical simulations explore problems where the capabilities of LBM were never quantified before.
Year
DOI
Venue
2015
10.1016/j.jcp.2015.03.006
J. Comput. Physics
Keywords
Field
DocType
viscoelastic flows,polymers,droplet deformation and orientation,lattice boltzmann models,binary liquids
Shear (sheet metal),Viscoelasticity,Finite difference,Mathematical analysis,Lattice Boltzmann methods,Interaction model,Simple shear,Newtonian fluid,Constitutive equation,Physics
Journal
Volume
Issue
ISSN
291
C
0021-9991
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Anupam Gupta100.34
M. Sbragaglia2305.62
Andrea Scagliarini300.34