Non-Newtonian fluid flow between rotating cylinders

Ehrmann, G; Takserman-Krozer, R.; Schenkel, G.

doi:10.1007/bf01523734

Cited by 12 publications

(5 citation statements)

References 1 publication

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“…The techniques to be outlined later can accommodate any prescribed viscosity function 7/but for the purposes of the work presented here we restrict attention to two much used forms for r/, namely the power-law and Carreau models. These are given by, respectively, 7/(12) = K (12)"-1 (6) and…”

Section: Constitutive Equationsmentioning

confidence: 99%

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A computer model of the two-roll mill for generalised Newtonian flow

Obaid

Townsend

1984

Rheol Acta

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Abstract:We investigate the flow of a generalised Newtonian liquid between two contra-rotating cylinders of equal size -the so called two-roll mill problem. A finite element method is used to obtain solutions for the case of a Carreau model and for a power law model. Consideration is given to the influence of shearthinning on the flow pattern around the cylinders. Results are presented for different speeds of rotation of the cylinders and for various values of fluid parameters. A comparison is made with the analytical solution of Jeffrey.

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Section: Constitutive Equationsmentioning

confidence: 99%

“…Further details of this flow together with 961 several additional references are given by Vlachopoulos and Hrymak [5], and Taksermann-Krozer, Schenkel and Ehrmann [6].…”

Section: Introductionmentioning

confidence: 97%

A computer model of the two-roll mill for generalised Newtonian flow

Obaid

Townsend

1984

Rheol Acta

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“…Mekelvey 3 in his textbook on polymer processing discussed the calendering process. Ehrmann et al 4 analyzed the calendering process by considering a symmetrical and asymmetrical calender using Newtonian and non-Newtonian fluid models. They concluded that local pressure and the roll-separating force decreasing for shear thinning materials.…”

Section: Introductionmentioning

confidence: 99%

Numerical approach for the calendering process using Carreau-Yasuda fluid model

Javed

Ali

Arshad

et al. 2021

Journal of Plastic Film & Sheeting

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This paper presents a numerical study of the calendering mechanism. The calendered material is represented using the Carreau-Yasuda fluid model. The governing flow equations in the calendering process are made first dimensionless then the lubrication approximation theory (LAT) is used to simplify them. The simplified flow equations are transformed into stream function and then are numerically solved. A numerical method is constructed with Matlab’s built-in-bvp4c routine to find the stream function and pressure gradient. We use the Runge-Kutta algorithm to calculate the pressure and mechanical quantities related to the calendering process. In this analysis the pressure distribution increases with increasing Weissenberg number, however the pressure domain length decreases as the Weissenberg number increases. The pressure inside the nip region decreases from its Newtonian value when the power law index is less than one (shear thinning), and the pressure profile increases from its Newtonian pressure when the power law index is greater than one(shear thickening). How the Carreau-Yasuda fluid model parameters influence the velocity and related calendering process quantities are also discussed via graphs.

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“…Since that time there have been many investigations of this problem and of the closely related problem of calendering where a reservoir of fluid is drawn between the rollers to form flat sheets. See, for example, Vlachapoulos and Hrymak [2] and Ehrman n, Taksermann-Krozer and Schenkel [3].…”

Section: Introductionmentioning

confidence: 98%

A computer simulation of elastic effects in the two-roll mill problem

Obaid

Townsend

1985

Rheol Acta

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In a previous paper consideration was given to the flow of a generalised Newtonian liquid between contra-rotating cylinders -the so-called two-roll mill problem. We present here an extension to that work in which we consider the effect of elasticity on the flow. An Oldroyd three-constant model is used to characterize the fluid properties and a finite-element method used to solve the relevant equations. Results are presented for different speeds of rotation of the cylinders and for various values of the fluid parameters. A comparison is made between the effects of elasticity and of shear-thinning on the flow patterns around the cylinders.

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Non-Newtonian fluid flow between rotating cylinders

Cited by 12 publications

References 1 publication

A computer model of the two-roll mill for generalised Newtonian flow

A computer model of the two-roll mill for generalised Newtonian flow

Numerical approach for the calendering process using Carreau-Yasuda fluid model

A computer simulation of elastic effects in the two-roll mill problem

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