Numerical approach to simulating turbulent flow of a viscoelastic polymer solution

Vaithianathan, T.; Collins, Lance R.

doi:10.1016/s0021-9991(03)00028-7

Cited by 133 publications

(121 citation statements)

References 31 publications

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“…(2) and (4), we are following the two References [72,73] to solve the FENE-P equation. We maintain the symmetric-positive-definite nature of conformation tensor at all times by using the Cholesky-decomposition scheme [72,73]. The polymer stress f (r P )C is computed from the FENE-P evolution equation and used to change the shear modes of the LBM [50,68,69].…”

Section: Discussionmentioning

confidence: 99%

Deformation and breakup of viscoelastic droplets in confined shear flow

Gupta

Sbragaglia

2014

Phys. Rev. E

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The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model two immiscible fluids with variable viscous ratio, 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).We quantify the droplet response by changing the polymer relaxation time τ P , the maximum extensibility L of the polymers, and the degree of confinement, i.e. the ratio of the droplet diameter to wall separation. In unconfined shear flow, the effects of droplet viscoelasticity on the critical Capillary number Ca cr for breakup are moderate in all cases studied. However, in confined conditions a different behaviour is observed: the critical Capillary number of a viscoelastic droplet increases or decreases, depending on the maximum elongation of the polymers, the latter affecting the extensional viscosity of the polymeric solution. Force balance is monitored in the numerical simulations to validate the physical picture.

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Section: Discussionmentioning

confidence: 99%

Deformation and breakup of viscoelastic droplets in confined shear flow

Gupta

Sbragaglia

2014

Phys. Rev. E

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“…[18]). Furthermore, the Kurganov-Tadmor shock-capturing scheme that we use controls any dispersive errors, because of sharp gradients in the polymer-conformation tensor, as in similar threedimensional studies [7,24].…”

Section: Model and Numerical Methodsmentioning

confidence: 99%

Two-dimensional homogeneous isotropic fluid turbulence with polymer additives

2015

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We carry out the most extensive and high-resolution direct numerical simulation, attempted so far, of homogeneous, isotropic turbulence in two-dimensional fluid films with air-drag-induced friction and with polymer additives. Our study reveals that the polymers (a) reduce the total fluid energy, enstrophy, and palinstrophy, (b) modify the fluid energy spectrum both in inverse-and forward-cascade régimes, (c) reduce small-scale intermittency, (d) suppress regions of large vorticity and strain rate, and (e) stretch in strain-dominated regions. We compare our results with earlier experimental studies and propose new experiments.

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“…the FENE-P potential that ensures finite extensibility, r P ≡ T r(C) and L the length and the maximum possible extension, respectively, of the polymers, and c ≡ µ/(ν + µ) a dimensionless measure of the polymer concentration [98].…”

Section: Modelsmentioning

confidence: 99%