A semi-empirical model of the forward roll coating flow of newtonian fluids

Benkreira, Hadj; Edwards, M.F.; Wilkinson, W.L.

doi:10.1016/0009-2509(81)85024-5

Cited by 56 publications

(40 citation statements)

References 4 publications

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“…Coyle found an accurate flow distribution at a film splitting point to solve a full Navier-Stokes equation using a finite element method (14) . Before Coyle's study, Benkreira (15), (16) experimentally obtained a simple power-law equation to predict the accurate film splitting ratio for Newtonian and non-Newtonian fluids, and Savage (17) theoretically obtained an algebraic-type equation to predict the accurate film splitting ratio. The third level for investigating a multiple coating system is by considering circulation flows between the coating rolls.…”

Section: Journal Of Fluidmentioning

confidence: 99%

“…For the film splitting model, the power-law-type model proposed by Coyle (14) and Benkreira (15) is used as follows:…”

Section: Governing Equations Of Roll Coating Systemmentioning

confidence: 99%

“…The index 2/3 in the model is obtained from numerical and experimental methods in the Newtonian case (14), (15) .…”

Section: Governing Equations Of Roll Coating Systemmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Study of a Four-Roll Coating System

Tsuda

2010

JFST

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The characteristics of a four-roll coating system were numerically investigated and compared with experimental data to validate the theoretical models used in this study. In the theoretical models, a film splitting model using a power-law-type equation, a roll-gap model based on elastohydrodynamics, and a flow model from a rotating-cylinder system were applied. The parametric computations for each operational condition revealed the steady and dynamic behaviors of a coating film and liquid films on the coating rolls. The results of the frequency response to the speed disturbances of the coating rolls indicated that the sensitivity of the lowest coating roll to the disturbance was half that of the others; this implies that the requirement for the accuracy of a driving system of the coating roll is not as severe as compared with others. The experimental data and the numerical results at steady state agreed well. Therefore, the theoretical models used in this research were found to be appropriate.

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Section: Journal Of Fluidmentioning

confidence: 99%

“…For the film splitting model, the power-law-type model proposed by Coyle (14) and Benkreira (15) is used as follows:…”

Section: Governing Equations Of Roll Coating Systemmentioning

confidence: 99%

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Numerical Study of a Four-Roll Coating System

Tsuda

2010

JFST

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“…Greener and Middleman (1975) further developed the theory of the forward roll coating flow of Newtonian fluids, using the usual lubrication approximations and some simple physical notions. Benkreira et al (1981) modified the model of Greener and Middleman to a general case of two rollers of equal or non-equal size rotating at equal or non-equal speeds and thus developed a model applicable to general case. Their model results were in good agreement with experimental data.…”

Section: Introductionmentioning

confidence: 99%

Fluid absorption during forward roll coating of porous webs

Devisetti

Bousfield

2010

Chemical Engineering Science

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“…Previous analyses dealt only with a single layer (Middleman [2], Coyle [3], Benkreira et al. [6,7], Benkreira and Edwards [8], Coyle et al [9,10], Ruschak [11] and Savage [12]). A first attempt to simulate multilayer forward roll coating was based on the Lubrication Approximation Theory (LAT) but only Newtonian fluids were considered (Hannachi and Mitsoulis [13]).…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Multilayer Forward Roll Coating: Power-Law Fluids

Hannachi

Mitsoulis

1991

Journal of Plastic Film & Sheeting

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Roll coating is at the heart of production of films which can be composed of many layers. The fluids may be Newtonian or shear-thinning, usually described by a power law. The fluids' rheology along with operating parameters, such as roll speeds, their size and minimum gap width, must be considered in order to achieve a desirable coating thickness. Numerical studies are undertaken based on the Lubrication Approximation Theory (LAT) for the isothermal analysis of forward roll coating of multilayer sheets, which are considered as slightly shear-thinning fluids (power-law indices > 0.6). The solution process is based on an iterative Newton-Raphson scheme. It provides the unknown a priori flow domain, interface locations for different layer combinations, layer thicknesses after splitting, pressure and stress distributions, torque and power consumption. A parametric study based on power-law index ratios and consistency index ratios for double-layer sheets is presented. A case of a 3-layer roll-coated sheet is also examined.

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A semi-empirical model of the forward roll coating flow of newtonian fluids

Cited by 56 publications

References 4 publications

Numerical Study of a Four-Roll Coating System

Numerical Study of a Four-Roll Coating System

Fluid absorption during forward roll coating of porous webs

Numerical Analysis of Multilayer Forward Roll Coating: Power-Law Fluids

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