Two-dimensional study of drop deformation under simple shear for Oldroyd-B liquids

Chinyoka, T.; Renardy, Yuriko; Renardy, Michael; Khismatullin, Damir B.

doi:10.1016/j.jnnfm.2005.07.005

Cited by 96 publications

(122 citation statements)

References 23 publications

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“…As the mesh is more refined, D value converges to the prediction of boundary integral method [17]. And other results of VOF [5] and of diffuse interface method [6] were in line with our results for the small deformation. Though the critical Capillary number, c Ca beyond which the drop is not capable of sustaining a stationary shape is known to be around 0.875 [17], here, the steady drop was obtained until 1 Ca = when the viscosity ratio, α was one.…”

Section: Governing Equationssupporting

confidence: 89%

See 1 more Smart Citation

Viscoelastic drop deformation in simple shear flow investigated by the front tracking method

Chung

Hulsen²,

Ahn

et al. 2007

WIT Transactions on Engineering Sciences, Vol 56

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The two-dimensional deformation of immiscible drop in simple shear flow was investigated using the front tracking method. Interface particles were traced by Runge-Kutta 2 nd order method and the boundary immersed method was used for calculation of surface tension force at the global mesh. Isothermal, incompressible and creeping flow was assumed. The main purpose of this research is to analyze the effect of viscosity ratio and elasticity on the drop deformation. Oldroyd-B model was used as a constitutive equation with stabilizing schemes such as DEVSS-G/SUPG and matrix logarithm. As for the Newtonian drop deformation in the Newtonian matrix, there was no breakup until Ca=1 when the viscosity ratio was one. And the damped oscillation was observed when the viscosity ratio was not unity. The effect of elasticity on the drop deformation was also investigated. As De increased, the drop was more deformed and orientation angle declined to the shear direction.

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Section: Governing Equationssupporting

confidence: 89%

“…When compared with the Newtonian drop, an interesting phenomenon was observed in the viscoelastic case. It was reported that the viscoelastic drop was less deformed than the Newtonian case [5]. As De increases, D increases and orientation angle decreases as shown in figure 6.…”

Section: Governing Equationsmentioning

confidence: 82%

Viscoelastic drop deformation in simple shear flow investigated by the front tracking method

Chung

Hulsen²,

Ahn

et al. 2007

WIT Transactions on Engineering Sciences, Vol 56

View full text Add to dashboard Cite

show abstract

“…The simplest multiphase system involves Newtonian fluids (Guido et al 2000;Chung and Kawaji 2004;Hwang et al 2005;Garstecki et al a, b;Vananroye et al 2006;Fries et al 2008;Weinmueller et al 2009). Scientists have investigated more complex systems: including drop deformation (Chinyoka et al 2005;Hsu and Leal 2009) and co-flowing systems Husny and Cooper-White 2006;Steinhaus et al 2007;Christopher and Anna 2009) involving a Newtonian phase and a viscoelastic phase.…”

Section: Introductionmentioning

confidence: 99%

An experimental investigation of two-phase coating flow within microchannels: the effect of coating fluid rheology

Boehm

Sarker

Koelling

2010

Microfluid Nanofluid

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The study of multiphase flow within microscale geometries has garnered much attention in recent history. One system of interest is the flow of a low viscosity fluid thread, labeled as the coring fluid, through a much higher viscosity liquid, labeled the coating fluid. On the macro-scale, this process has shown great utility in the plastics industry, but it has yet to be completely characterized on the micro-scale. Detailed here is a set of experiments performed within square microchannels, of nominal area 250 lm by 250 lm, where the coring fluid was Newtonian and the coating fluid was either Newtonian or viscoelastic. Visual data were collected and subsequently analyzed to determine the thickness of coating fluid remaining on the walls of the microchannel after the coring fluid front passed. The results for flow through a Newtonian coating fluid show similarity to results for flow in macro-scale capillaries; the thickness of the coating fluid, after initial penetration by the coring fluid thread, follows the same dependence upon the velocity of the thread front as seen for the macro-scale. The case of a viscoelastic coating fluid in a microchannel, however, shows interesting differences to the macro-scale results. Most notably, the surface of the coring fluid thread was highly unstable and the entire thread migrated toward one wall.

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“…We employ semi-implicit finite difference schemes for the solution process of the highly nonlinear and transient problems. Such schemes were given in, say, Chinyoka et al (2005) for isothermal viscoelastic flow and then modified and extended to the energy equation in Chinyoka (2008;2009a;b;2010;2011). The results show that fluid elasticity can be used to reduce the growth of fluid temperature.…”

Section: Energy Elastic Effectsmentioning

confidence: 99%

Effects of Fluid Viscoelasticity in Non-Isothermal Flows

Chinyoka¹

2011

Evaporation, Condensation and Heat Transfer

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Two-dimensional study of drop deformation under simple shear for Oldroyd-B liquids

Cited by 96 publications

References 23 publications

Viscoelastic drop deformation in simple shear flow investigated by the front tracking method

Viscoelastic drop deformation in simple shear flow investigated by the front tracking method

An experimental investigation of two-phase coating flow within microchannels: the effect of coating fluid rheology

Effects of Fluid Viscoelasticity in Non-Isothermal Flows

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