Effect of viscoelasticity on liquid sheet rupture

Bazzi, Marisa S.; Carvalho, Márcio S.

doi:10.1016/j.jnnfm.2018.10.007

Cited by 15 publications

(30 citation statements)

References 25 publications

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“…Bazzi et al [19] showed that the Eurnex and Davis' [14] stability indicator is valid not only for Newtonian fluids but also for complex fluids. Besides, the work concludes that although the viscoelastic forces do not account for deciding whether or not the curtain is stable, they have a great effect on sheet rupture dynamics.…”

Section: Sheet Rupturementioning

confidence: 99%

“…It is modeled here as a simple relation between the average velocity of each layer, K is proportional between the initial fluid viscosities, for simplicity we take K = µ 2 /µ 1 . Lastly, there is the kinematic condition, Equation (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20), which bounds the surface movement to velocity in the layer. This condition assures that the boundary h = h(x) is moving accordingly to the flow.…”

Section: Andmentioning

confidence: 99%

“…The long-wave approximation adopted uses an asymptotic expansion that takes advantage of the long and thin geometry of the problem, and the flow symmetry in each layer [19,29,30]. The equations presented in the previous sections of this chapter are simplified by expanding of the variables in a power series and then neglecting the high-order terms.…”

Section: Long-wave Approximation (Asymptotic Expansion)mentioning

confidence: 99%

“…The exploited symmetry permits truncating some of the terms in the series depending on function parity regarding the variable. Even variables only present even coefficients while odd variables only present odd coefficients, as it is expressed in Equations (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21).…”

Section: Long-wave Approximation (Asymptotic Expansion)mentioning

confidence: 99%

“…Erneux et al [14] have shown that only the ratio between the capillary and van der Waals forces determine flow behavior. Following, Bazzi et al [19] added the analysis of viscoelastic fluid flow. Here, we further exploit the subject addressing the stability analysis for non-Newtonian double-layered sheets.…”

Section: Linear Stability Analysismentioning

confidence: 99%

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Breakup of Two-Layer Liquid Films

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I would first like to thank my thesis advisor Prof. Marcio Carvalho. It was a pleasure to work with him. This work was only possible due to concepts and great discussions provided by Prof. Marcio. I am grateful for his guidance.I would also like to thank Prof. Ivan Menezes. Prof. Ivan welcomed me to PUC-Rio and provided good support and advice in projects conducted through the length of this Master's degree.I also highlight the importance of the support my parents and family offered me.As good friends through this journey, Mateus Gheorghe, Rodolfo Teixeira, Renan Finotti, and Gabriela were the friends I spent most of my time with during the year I have lived in Rio.I also thank the warm welcome from the LMMP members. This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior -Brasil (CAPES) -Finance Code 001.

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Section: Sheet Rupturementioning

confidence: 99%

Section: Andmentioning

confidence: 99%

Section: Long-wave Approximation (Asymptotic Expansion)mentioning

confidence: 99%

Section: Long-wave Approximation (Asymptotic Expansion)mentioning

confidence: 99%

Section: Linear Stability Analysismentioning

confidence: 99%

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Breakup of Two-Layer Liquid Films

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Dewetting of a thin polymer film under shear

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Salez

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Local dynamics during thinning and rupture of liquid sheets of power-law fluids

et al. 2022

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Rupture of liquid sheets of power-law fluids surrounded by a gas is analysed under the competing influences of pressure due to van der Waals attraction, inertia, viscous stress and capillary pressure due to surface tension. Results of a combined theoretical and computational study are presented over the entire range of parameters governing the thinning of a power-law fluid of power-law exponent $0 < n \le 1$ ( $n=1$ : Newtonian fluid) and Ohnesorge number $0 \le Oh < \infty$ , where $Oh \equiv \mu _0/\sqrt {\rho h_0 \sigma }$ , and $\mu _0, \rho, h_0$ and $\sigma$ stand for the zero-deformation-rate viscosity, density, the initial sheet half-thickness and surface tension, respectively. The dynamics in the vicinity of the space–time singularity where the sheet ruptures is asymptotically self-similar, and thus the variation with time remaining until rupture $\tau \equiv t_R - t$ , where $t_R$ is the time instant $t$ at which the sheet ruptures, of sheet half-thickness, lateral length scale and lateral velocity is determined analytically and confirmed by simulations. For sheets for which inertia is negligible ( $Oh^{-1}=0$ ), two distinct viscous scaling regimes are found, one for $0.58 < n \le 1$ and the other for $n \le 0.58$ . The thinning dynamics of inviscid sheets ( $Oh = 0$ ) is identical to that of Newtonian ones. For real fluids for which neither viscosity nor inertia is negligible, it is shown that the aforementioned creeping and inertial flow regimes are transitory and the thinning of power-law sheets exhibits a remarkably richer set of scaling transitions compared with Newtonian sheets.

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Effect of viscoelasticity on liquid sheet rupture

Cited by 15 publications

References 25 publications

Breakup of Two-Layer Liquid Films

Breakup of Two-Layer Liquid Films

Dewetting of a thin polymer film under shear

Local dynamics during thinning and rupture of liquid sheets of power-law fluids

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