Startseite Investigation of the interface behavior of a viscous fluid under free surface shear flow using an eccentric transparent Couette cell
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Investigation of the interface behavior of a viscous fluid under free surface shear flow using an eccentric transparent Couette cell

  • Prashanth Thirunavukkarasu , Francis Fournier , Arnaud Pignolet , Romain Castellani ORCID logo , Céline Cohen , Edith Peuvrel-Disdier ORCID logo EMAIL logo , Rudy Valette ORCID logo und Bruno Vergnes
Veröffentlicht/Copyright: 9. November 2022
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Abstract

In the present work, a prototype was developed to observe the flow behavior of viscous fluids under free surface shear and determine an adhesion energy in this flow geometry. The geometry consists of an eccentric Couette cell (outer cylinder radius of 89.5 mm, inner cylinder radius of 43.75 mm and minimal gap of 3 mm) that can be used in two modes, where both cylinders can respectively rotate in the same or opposite directions. Cylinders are horizontal and short relatively to their diameters (30 mm long). Transparent windows allow in-situ flow observations. The design, development, and testing of the prototype with a model viscous fluid (silicone fluid with a 2.2 104 Pa.s Newtonian viscosity) are reported in this paper. The flow behavior of small fluid volumes (fill factor smaller than 15%) was investigated under co- and counter-rotating configurations to determine steady-state flow conditions. Stationary conditions were identified in the counter-rotating mode. The velocity conditions and resulting observations are studied and analysed. However, for the used silicone fluid, the bulk dissipative energy is much larger than the work of adhesive forces in the investigated regimes. The adhesion energy contribution could not be detected for this fluid.


Corresponding author: Edith Peuvrel-Disdier, Mines Paris, PSL University, Centre for material forming (CEMEF), UMR CNRS, 06904 Sophia Antipolis, France, E-mail:

Funding source: This study was carried out within the framework of the OSUM project, FUI AAP23

Award Identifier / Grant number: BPiFrance

Funding source: Thirunavukkarasu’s PhD was funded by Michelin MFP and a CIFRE grant from the French agency Association Nationale de la Recherche et de la Technologie (A.N.R.T.)

Acknowledgements

The authors wish to thank Marc Bouyssou, Eric Brotons, Christelle Combeaud, Guillaume Corvec, Gilbert Fiorucci for their involvement in the manufacturing of the different components of the machine. Special thanks are addressed to Bruno Dratz and Pascal Tremblay from the Michelin company for their initiative, involvement, and discussions during the work.

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This study was carried out within the framework of the OSUM project, FUI AAP23, funded by BPiFrance. Thirunavukkarasu’s PhD was funded by Michelin MFP and a CIFRE grant from the French agency Association Nationale de la Recherche et de la Technologie (A.N.R.T.).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

Appendix: Limitations of the flow geometry

Some limitations were identified while working with the prototype:

  1. With the present configuration of motors, 5.104 Pa.s appears to be an upper limit of the fluid viscosity that can be sheared in the thin gap region without breakage risks for glass windows.

  2. Despite routine cleaning, tiny fluid volumes tend to get trapped at the interfaces between the mobile and immobile parts (e.g. between the rear window and the central immobile part) or between mobile parts (e.g. between the windows and the inner cylinder sides, see Figure 10B). The presence of these impurities leads, under shear, to the loss of transparency of the fluid over time (illustrated in Figure 10). It was verified that this loss of transparency due to impurities did not influence the rheological behavior of the fluid.

  3. The fluid volume varies slightly over time during shear with the continuous entrapment and release of the fluid trapped in the different tiny gaps of the flow geometry.

Figure 10: 
Illustration of the loss of transparency of the fluid over time during shear flow: A) at the beginning, B) after a few minutes.
Figure 10:

Illustration of the loss of transparency of the fluid over time during shear flow: A) at the beginning, B) after a few minutes.

References

Agassant, J.F., Poitou, A., and Valette, R. (2009). A kinematic approach to distributive mixing. In: Zloczower, I.M. (Ed.), Mixing and compounding of polymers, 2nd ed. Carl Hanser Verlag, Munich, pp. 217–240.10.3139/9783446433717.005Suche in Google Scholar

Agassant, J.F., Avenas, P., Carreau, P.J., Vergnes, B., and Vincent, M. (2017). Polymer processing – principle and modelling. Carl Hanser Verlag, Munich.10.3139/9781569906064Suche in Google Scholar

Andreotti, B. and Snoeijer, J.H. (2020). Statics and dynamics of soft wetting. Ann. Rev. Fluid Mech. 52: 285–308, https://doi.org/10.1146/annurev-fluid-010719-060147.Suche in Google Scholar

Asai, T., Fukui, T., Inoue, K., and Kuriyama, M. (1983). Proc. international rubber conference paper III-4. Paris.Suche in Google Scholar

Blake, T.D. and Haynes, J.M. (1969). Kinetics of liquid displacement. J. Colloid Interface Sci. 30: 421–423, https://doi.org/10.1016/0021-9797(69)90411-1.Suche in Google Scholar

Bonn, D., Eggers, J., Indekeu, J., Meunier, J., and Rolley, E. (2009). Wetting and spreading. Rev. Mod. Phys. 81: 739–805, https://doi.org/10.1103/RevModPhys.81.739.Suche in Google Scholar

Breuer, O., Chen, H., Lin, B., and Sundararaj, U. (2005). Simulation and visualization of flow in a new miniature mixer for multiphase polymer systems. J. Appl. Polym. Sci. 97: 136–142, https://doi.org/10.1002/app.20998.Suche in Google Scholar

Chaiken, J., Chevray, R., Tabor, M., and Tan, Q.M. (1986). Experimental study of Lagrangian turbulence in a Stokes flow. Proc. Roy. Soc. A 408: 165–174, https://doi.org/10.1098/rspa.1986.0115.Suche in Google Scholar

Chamakos, N.T., Sema, D.G., and Papathanasiou, A.G. (2021). Progress in modeling wetting phenomena on structured substrates. Arch. Comput. Meth. Eng. 28: 1647–1666, https://doi.org/10.1007/s11831-020-09431-3.Suche in Google Scholar

Combeaud, C., Demay, Y., and Vergnes, B. (2004). Experimental study of the volume defects in polystyrene extrusion. J. Non Newtonian Fluid Mech. 121: 175–185, https://doi.org/10.1016/j.jnnfm.2004.06.007.Suche in Google Scholar

Cox, R.G. (1986). The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow. J. Fluid Mech. 168: 169–194, https://doi.org/10.1017/S0022112086000332.Suche in Google Scholar

de Gennes, P.G. (1985). Wetting: statics and dynamics. Rev. Mod. Phys. 57: 827–863, https://doi.org/10.1103/RevModPhys.57.827.Suche in Google Scholar

de Haas, K.H., van den Ende, D., Blom, C., Altena, E.G., Beukema, G.J., and Mellema, J. (1998). A counter-rotating Couette apparatus to study deformation of a sub-millimeter sized particle in shear flow. Rev. Scient. Instr. 69: 1391–1397, https://doi.org/10.1063/1.1148771.Suche in Google Scholar

Freakley, P.K. and Wan Idris, W.Y. (1979). Visualization of flow during the processing of rubber in an internal mixer. Rubber Chem. Technol. 52: 134–145, https://doi.org/10.5254/1.3535197.Suche in Google Scholar

Huh, C. and Scriven, L.E. (1971). Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interf. Sci. 35: 85–101, https://doi.org/10.1016/0021-9797(71)90188-3.Suche in Google Scholar

Lu, G., Wang, X.D., and Duan, Y.Y. (2016). A critical review of dynamic wetting by complex fluids: from Newtonian fluids to non-Newtonian fluids and nanofluids. Adv. Colloid Interface Sci. 236: 43–62, https://doi.org/10.1016/j.cis.2016.07.004.Suche in Google Scholar PubMed

Lucas, R. (1918). Über das Zeitgesetz des kapillaren Aufstiegs von Flüssigkeiten. Kolloid Z. 23: 15–22.10.1007/BF01461107Suche in Google Scholar

Min, K. and White, J.L. (1985). Flow visualization of the motions of elastomers and molten plastics in an internal mixer. Rubber Chem. Technol. 58: 1024–1037, https://doi.org/10.5254/1.3536098.Suche in Google Scholar

Min, K. (1987). Flow visualization parallel and perpendicular to the rotor axes for elastomers and molten plastics in an internal mixer – the influence of rotor design. Int. Polym. Proc. 1: 179–187, https://doi.org/10.3139/217.870179.Suche in Google Scholar

Pan, L.J. and de Bruyn, R. (1994). Spatially uniform travelling cellular patterns at a driven interface. Phys. Rev. E 49: 483–493, https://doi.org/10.1103/PhysRevE.49.483.Suche in Google Scholar

Rabaud, M., Michalland, S., and Couder, Y. (1990). Dynamical regimes of directional viscous fingering: spatiotemporal chaos and wave propagation. Phys. Rev. Lett. 64: 184–189, https://doi.org/10.1103/PhysRevLett.64.184.Suche in Google Scholar PubMed

Rideal, E.K. (1922). On the flow of liquids under capillary pressure. Philos. Mag. 44: 1152–1159, https://doi.org/10.1080/14786441008634082.Suche in Google Scholar

Robert, L., Demay, Y., and Vergnes, B. (2004). Stick-slip flow of high density polyethylene in a transparent slit die investigated by laser Doppler velocimetry. Rheol. Acta 43: 89–98, https://doi.org/10.1007/s00397-003-0323-x.Suche in Google Scholar

Terhemen, T.A. and Gbaoron, Y.S. (2020). Contact angle hysteresis – advantages and disadvantages: a critical review. Rev. Adhes. Adhes. 8: 47–67, https://doi.org/10.7569/RAA.2020.097302.Suche in Google Scholar

Varela Lópeza, F., Paucharda, L., Rosenb, M., and Rabaud, M. (2002). Non-Newtonian effects on ribbing instability threshold. J. Non Newtonian Fluid Mech. 103: 123–139, https://doi.org/10.1016/S0377-0257(01)00165-3.Suche in Google Scholar

Voinov, O.V. (1976). Hydrodynamics of wetting. Fluid Dyn. 11: 714–721, https://doi.org/10.1007/BF01012963.Suche in Google Scholar

Washburn, E.W. (1921). The dynamics of capillary flow. Phys. Rev. 17: 273–283, https://doi.org/10.1103/PhysRev.17.273.Suche in Google Scholar

West, G.D. (1911). On the resistance to the motion of a thread of mercury in a glass tube. Proc. Roy. Soc. A 86: 20–25, https://doi.org/10.1098/rspa.1911.0076.Suche in Google Scholar

White, J.L., Min, K., Ma, C.Y., and Brzoskowski, R. (1986). Basic studies of flow visualization of processing of elastomers and their compounds: internal mixer and extrusion. J. Polym. Eng. 6: 79–93, https://doi.org/10.1515/POLYENG.1986.6.1-4.79.Suche in Google Scholar

Wilson, M.C.T., Summers, J.L., Shikhmurzaev, Y.D., Clarke, A., and Blake, T.D. (2006). Non-local hydrodynamic influence on the dynamic contact angle: slip models vs. experiment. Phys. Rev. E 73: 041606, https://doi.org/10.1103/PhysRevE.73.041606.Suche in Google Scholar PubMed

Yokoi, H. (2009). Part IV: process visualization, control, optimization, and simulation: internal visualization of mold cavity and heating cylinder. In: Kamal, M.R., Isayev, A., and Liu, S.J. (Eds.), Injection molding, technology and fundamentals. Carl Hanser Verlag, Munich, pp. 395–438.10.3139/9783446433731.011Suche in Google Scholar

Received: 2022-07-29
Accepted: 2022-10-10
Published Online: 2022-11-09
Published in Print: 2023-03-28

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