Viscoelastic fluid behavior in annulus using Giesekus model

Mohseni, Mohammad Réza; Rashidi, Fariborz

doi:10.1016/j.jnnfm.2010.07.012

Cited by 15 publications

(8 citation statements)

References 7 publications

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“…The term contains a is related to the anisotropic Brownian motion on the constituent polymer molecules. 20 Mohseni and Rashidi 21 and Yoo and Choi 22 points out that for various actual materials, a would be between 0 a 0.5.…”

Section: Flow Equationsmentioning

confidence: 99%

“…The characteristics mentioned above allow the Giesekus model to predict the rheology of different polymer solutions and other liquids. Recently, many researchers [21][22][23][24] used the Giesekus model in different flow configurations. Motivated by how the Giesekus model can describe the rheology of various polymer melts, we wanted to use the Giesekus model in analyzing the calendering processes.…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis of the calendering process by using Giesekus fluid model

Javed

Ali

Arshad

2019

Journal of Plastic Film & Sheeting

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A numerical study of the calendering process is presented. The material to be calendered is modeled by using Giesekus constitutive equation. The flow equations are first presented in dimensionless forms and then simplified by incorporating the lubrication approximation theory. The resulting equations are analytically solved for the stream function. The pressure gradient, pressure, and other engineering parameters related to the calendering process, such as roll-separating force, power function, and entering sheet thickness, are numerically calculated by using Runge–Kutta algorithm. The influence of the Giesekus parameter and the Deborah number on the velocity profile, pressure gradient, pressure, power function, roll-separating force, and exiting sheet thickness are discussed in detail with the help of various graphs. The present analysis indicates that the pressure in the nip region decreases with increasing Giesekus parameter and Deborah number. The power function and the roll-separating force exhibit decreasing trends with increasing Deborah number. The exiting sheet thickness decreases up to a certain entering sheet thickness, as compared to the Newtonian case. Beyond this entering sheet thickness, the exiting sheet thickness increases with increasing entering sheet thickness.

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Section: Flow Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical analysis of the calendering process by using Giesekus fluid model

Javed

Ali

Arshad

2019

Journal of Plastic Film & Sheeting

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“…Since the Giesekus model exhibits unrealistic behavior in range In order to reduce the complexity of the problem, an approximate solution approach which has been suggested in references [30][31][32] is employed. To do so, the term Dimensionless form of Eq.…”

Section: Hydrodynamic Solutionmentioning

confidence: 99%

Forced convection heat transfer of Giesekus fluid with wall slip above the critical shear stress in pipes

Mohseni

Tissot

Badawi

2018

International Journal of Heat and Fluid Flow

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To cite this version:Mehdi Moayed Mohseni, Gilles Tissot, Michael Badawi. Forced convection heat transfer of Giesekus fluid with wall slip above the critical shear stress in pipes. Highlights Increasing slip effect increase Nusselt number in Br>0. Nusselt number decrease by increasing Brinkman number in Br>0.  For the cooling case fluid starts to warm up in Br>Br 1 .  Nusselt curve show a singularity in Br 2 .  Br 1 and Br 2 increase by Increasing slip effect. Abstract Forced convective heat transfer in pipes is investigated for viscoelastic fluids obeying the Giesekus constitutive equation including effect of slip condition by an approximated analytical method. The slip equation at wall is considered nonlinear Navier model with non-zero slip critical shear stress. The problem under consideration is steady, laminar and fully developed. Thermal boundary conditions are assumed peripherally and axially constant heat flux at wall. The fluid heating and cooling cases are considered for analysis. Dimensionless temperature profiles and Nusselt number are obtained by solving governing equations and the effects of slip parameters, viscous dissipation and fluid elasticity are 2 discussed. Results show that Nusselt number increases by increasing slip effect but decreases by increasing Brinkman number for the case of fluid heating. However, for the cooling case, the heat generated by viscous dissipation can overcome the effect of wall cooling at first critical Brinkman number and fluid starts to warm up. Also the Nusselt curve shows a singularity in a second critical Brinkman number.

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“…The existence of realistic solutions with the single mode Giesekus model is not always guaranteed and depends on the values of the mobility parameter as discussed by several authors, albeit for plane and axisymmetric configurations. 14,15,30,32 For example, for plane Poiseuille flow and using the single mode Giesekus model without solvent contribution, Yoo and Choi 15 have shown the existence of two solution branches named lower and upper branch solutions. The lower branch leads to unrealistic values of shear stress distribution, that is, greater local shear rate leading to lower local shear stress and is discarded.…”

Section: Mathematical Modelmentioning

confidence: 99%

Flow and heat transfer of a Giesekus fluid in plane and 3D ducts

Melhi¹,

Filali²,

Khezzar³

et al. 2017

Heat Trans. Asian Res.

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This study aims to investigate the Graetz problem of Newtonian and viscoelastic fluid obeying Giesekus model using ANSYS Polyflow solver. The non‐isothermal flow in straight ducts of circular and noncircular cross‐sections under the constant heat flux boundary conditions is considered. The effect of the mobility parameter (α), fluid elasticity defined by Weissenberg number (We) and Reynolds number (Re) on the flow field, secondary flows, and the fully developed and developing Nusselt number along the ducts length are investigated for all geometries. The obtained results are of great importance for practical application in the polymer industries such as polymer melt.

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Viscoelastic fluid behavior in annulus using Giesekus model

Cited by 15 publications

References 7 publications

Numerical analysis of the calendering process by using Giesekus fluid model

Numerical analysis of the calendering process by using Giesekus fluid model

Forced convection heat transfer of Giesekus fluid with wall slip above the critical shear stress in pipes

Flow and heat transfer of a Giesekus fluid in plane and 3D ducts

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