A lattice Boltzmann method for simulating viscoelastic drops

We report some numerical simulations of multiphase viscoelastic fluids based on an algorithm that employs a diffusive-interface lattice Boltzmann method together with a lattice advection-diffusion scheme, the former used to model the macroscopic hydrodynamic equations for multiphase fluids and the l...

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Bibliographic Details
Published in:Physics of fluids (1994) 2019-07, Vol.31 (7)
Main Authors: Wang, Di, Tan, Danielle, Phan-Thien, Nhan
Format: Article
Language:English
Subjects:
Algorithms
Computational fluid dynamics
Computer simulation
Constitutive models
Deformation
Fluid dynamics
Hydrodynamic equations
Mathematical models
Multiphase
Physics
Polymers
Relaxation time
Shear flow
Viscoelastic fluids
Viscoelastic liquids
Viscoelasticity
Viscosity
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Summary:We report some numerical simulations of multiphase viscoelastic fluids based on an algorithm that employs a diffusive-interface lattice Boltzmann method together with a lattice advection-diffusion scheme, the former used to model the macroscopic hydrodynamic equations for multiphase fluids and the latter to describe the polymer dynamics modeled by the Oldroyd-B constitutive model. The multiphase model is validated by a simulation of Newtonian drop deformation under steady shear. The viscoelastic model is validated by simulating a simple shear flow of an Oldroyd-B fluid. The coupled algorithm is used to simulate the viscoelastic drop deformation in shear flow. The numerical results are compared with the results from conventional methods, showing a good agreement. We study the viscosity (density) ratio effect on the bubble rising in viscoelastic liquids and demonstrate a nonmonotonic relation between the length of the bubble tail and the polymer relaxation time.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.5100327