Effect of viscoelasticity on the rotation of a sphere in shear flow

Snijkers, Frank; D’Avino, Gaetano; Maffettone, Pier Luca; Greco, Francesco; Hulsen, Martien A.; Vermant, Jan

doi:10.1016/j.jnnfm.2011.01.004

Cited by 56 publications

(64 citation statements)

References 23 publications

(43 reference statements)

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“…Finally, ⌧ is the viscoelastic stress tensor that needs to be specified by choosing a constitutive equation. In this work, as constitutive equation we consider the Giesekus model [23] that, despite its simplicity, has been proven to quantitatively describe the rheological properties of several non-Newtonian fluids [26][27][28]:…”

Section: Governing Equationsmentioning

confidence: 99%

Bistability and metabistability scenario in the dynamics of an ellipsoidal particle in a sheared viscoelastic fluid

et al. 2014

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The motion of an ellipsoidal particle in a viscoelastic liquid subjected to an unconfined shear flow is addressed by numerical simulations. A complex dynamics is found with different transients and long-time regimes depending on the Deborah number De (De is the product of the viscoelastic liquid intrinsic time times the applied shear rate). Spiraling orbits toward a log-rolling motion around the vorticity are observed for low Deborah numbers, whereas the particle aligns with its major axis near to the flow direction at high Deborah numbers. The transition from vorticity to flow alignment is characterized by a periodic regime with small amplitude oscillations around orientations progressively shifting from vorticity to flow direction by increasing De. A range of Deborah numbers is detected such that the periodic solution coexists with the flow alignment regime (bistability). A further range of De is found where flow alignment is attained differently for particles starting far from or next to the shear plane: in the latter case, very long transients are found; hence an effective bistability (metabistability) is predicted to occur in a large time lapse before reaching the fully aligned state. Finally, the computed Deborah number values for flow alignment favorably compare with available experimental data. © 2014 American Physical Society

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Section: Governing Equationsmentioning

confidence: 99%

Bistability and metabistability scenario in the dynamics of an ellipsoidal particle in a sheared viscoelastic fluid

et al. 2014

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“…8 this means x y ¼ _ c=2 with _ c ¼ 2U s =W the overall shear rate generated by two parallel plates moving opposite in the z-direction. Snijkers and co-workers [38,39] have experimentally and numerically investigated this system for a spectrum of elastic liquids and found a reduction of the ratio x y = _ c with the reduction getting stronger for higher Deborah numbers (here defined as De ¼ k _ c). In Fig.…”

Section: Rotation Of a Single Sphere In Shear Flowmentioning

confidence: 99%

Direct simulations of spherical particles sedimenting in viscoelastic fluids

Goyal

Derksen

2012

Journal of Non-Newtonian Fluid Mechanics

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“…Depending on the shear rate and network relaxation time or the Deborah number (De ¼ _ c Ã k; k is network relaxation time) negative wakes might be produced with different strengths and characteristic lengths. Although recent numerical simulations did not reveal a strong negative wake for a single spherical particle in a simple shear flow of viscoelastic fluids [22], multi-body hydrodynamic interactions in suspensions might change the wake structure behind a singlet or other clusters. Developments of numerical methods which accommodate the hydrodynamic interactions between particles in a viscoelastic background fluid are necessary and gradually emerging [28].…”

Section: Dynamics Of Chainingmentioning

confidence: 83%

“…This can be one of the reasons for stronger microstructure formation in the solution with the higher concentration of PEO. More recently numerical studies by Snijkers et al confirmed that shear thinning can amplify the local shear rates around a single spherical particle in a shear flow, when compared to a non-shear thinning viscoelastic medium such as a Boger fluid [22]. Finally, McKinley explained the potential role of negative wakes in particle chaining in viscoelastic media [23].…”

Section: Dynamics Of Chainingmentioning

confidence: 99%