Influence of viscoelasticity on the interfacial dynamics of air displacing fluid flows—a computational study

Bhatara, Gandharv; Shaqfeh, Eric S. G.; Khomami, Bamin

doi:10.1016/j.jnnfm.2004.06.010

Cited by 11 publications

(20 citation statements)

References 41 publications

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“…Studies related to viscoelastic coating flows have only recently been attempted and are limited [19][20][21][22][23][24][25]. For slot coating flow in particular, calculations of steady Newtonian [3,4,[9][10][11][12] and viscoelastic flows [19,20,23,25] have been reported in the literature.…”

Section: Introductionmentioning

confidence: 99%

A computational study of the effect of viscoelasticity on slot coating flow of dilute polymer solutions

Bajaj

Prakash

Pasquali

2008

Journal of Non-Newtonian Fluid Mechanics

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Section: Introductionmentioning

confidence: 99%

A computational study of the effect of viscoelasticity on slot coating flow of dilute polymer solutions

Bajaj

Prakash

Pasquali

2008

Journal of Non-Newtonian Fluid Mechanics

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“…The CEF model cannot adequately capture such phenomena and it becomes necessary to pursue large-scale freesurface numerical computations of the roll-coating problem using an appropriate viscoelastic constitutive equation such as the Oldroyd-B model. The ability to perform convergent and stable computations of such problems with viscoelastic fluids is presently under development (Pasquali and Scriven, 2002;Bhatara et al, 2004). The analytic results developed in the present paper provide rigorous asymptotic limits against which the predictions of such codes may be compared.…”

Section: Discussionmentioning

confidence: 99%

Coating flows of non-Newtonian fluids: weakly and strongly elastic limits

et al. 2007

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Abstract.We present an asymptotic analysis of the thickness of the liquid film that coats a smooth solid substrate when it is withdrawn from a bath of non-Newtonian fluid, and compare our results with experimental measurements. The film thickness is, to a good approximation, uniform above the point where the film is withdrawn from the fluid bath, and depends on the rotation rate, the fluid properties and the substrate geometry. Theoretical predictions of the film thickness for a number of different substrate geometries (an inclined plate, roller and fiber) are presented, and are compared with experimental measurements in a single roller geometry. Results are obtained for two different limits of the Criminale-Ericksen-Filbey constitutive equation in which the fluid rheology is either weakly elastic and dominated by shear-thinning, or strongly elastic and dominated by elastic stresses. A lubrication analysis yields a thin-film equation which characterizes the film thickness as a function of spatial position. The rheological properties of the test fluids are measured independently using steady and oscillatory shearing deformations. The viscometric parameters are then used, in conjunction with the governing thin-film equation, which is solved using matched asymptotics, to give a quantitative prediction of the thickness of the fluid coating. The onset of an instability which causes the film thickness to vary with axial position along the roller is also observed experimentally.

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“…(14) accounts for the convection of the configuration field by the flow and W is a time-uncorrelated but spatially homogeneous Brownian force. The expression for stress calculation remains as Eq.…”

Section: The Diffusion Tensor a Ismentioning

confidence: 99%

“…(1), (2), (4), (15), and (21) constitute a set of 13 scalar equations in 13 unknowns when solving for the flow field using the macroscopic approach, while Eqs. (1), (2), (14), and (15) are a set of 5 + 3N f scalar equations when solving using the micro-macro approach, where N f is the size of the ensemble. These equations are solved with boundary conditions on the transport and mesh equations as discussed below.…”

Section: Problem Description and Boundary Conditionsmentioning

confidence: 99%