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Modification of turbulence caused by cationic surfactant wormlike micellar structures in two-dimensional turbulent flow

Published online by Cambridge University Press:  20 December 2021

Kengo Fukushima
Affiliation:
Department of Chemical Science and Engineering, Kobe University, Kobe 657-8501, Japan
Haruki Kishi
Affiliation:
Department of Chemical Science and Engineering, Kobe University, Kobe 657-8501, Japan
Hiroshi Suzuki
Affiliation:
Department of Chemical Science and Engineering, Kobe University, Kobe 657-8501, Japan
Ruri Hidema*
Affiliation:
Department of Chemical Science and Engineering, Kobe University, Kobe 657-8501, Japan
*
Email address for correspondence: [email protected]

Abstract

An experimental study is performed to investigate the effects of the extensional rheological properties of drag-reducing wormlike micellar solutions on the vortex deformation and turbulence statistics in two-dimensional (2-D) turbulent flow. A self-standing 2-D turbulent flow was used as the experimental set-up, and the flow was observed through interference pattern monitoring and particle image velocimetry. Vortex shedding and turbulence statistics in the flow were affected by the formation of wormlike micelles and were enhanced by increasing the molar ratio of the counter-ion supplier to the surfactant, ξ, or by applying extensional stresses to the solution. In the 2-D turbulent flow, extensional and shear rates were applied to the fluids around a comb of equally spaced cylinders. This induced the formation of a structure made of wormlike micelles just behind the cylinder. The flow-induced structure influenced the velocity fields around the comb and the turbulence statistics. A characteristic increase in turbulent energy was observed, which decreased slowly downstream. The results implied that the characteristic modification of the 2-D turbulent flow of the drag-reducing surfactant solution was affected by the formation and slow relaxation of the flow-induced structure. The relaxation process of the flow-induced structure made of wormlike micelles was very different from that of the polymers.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Aguilar, G., Gasljevic, K. & Matthys, E.F. 2001 Asymptotes of maximum friction and heat transfer reductions for drag-reducing surfactant solutions. Intl J. Heat Mass Transfer 44, 28352843.CrossRefGoogle Scholar
Anna, S.L. & Mckinley, G.H. 2001 Elasto-capillary thinning and breakup of model elastic liquids. J. Rheol. 45, 115138.CrossRefGoogle Scholar
Asano, Y., Watanabe, H. & Noguchi, H. 2018 Polymer effects on Kármán vortex: molecular dynamics study. J. Chem. Phys. 148, 144901.CrossRefGoogle ScholarPubMed
Boffetta, G. & Ecke, R.E. 2012 Two-dimensional turbulence. Annu. Rev. Fluid Mech. 44, 427451.CrossRefGoogle Scholar
Clausen, T.M., Vinson, P.K., Minter, J.R., Davis, H.T., Talmon, Y. & Miller, W.G. 1992 Viscoelastic micellar solutions: microscopy and rheology. J. Phys. Chem. 96, 474484.CrossRefGoogle Scholar
Den Toonder, J.M.J., Hulsen, M.A., Kuiken, G.D.C. & Nieuwstadt, F.T.M. 1997 Drag reduction by polymer additives in a turbulent pipe flow: numerical and laboratory experiments. J. Fluid Mech. 337, 193231.CrossRefGoogle Scholar
Den Toonder, J.M.J., Nieuwstadt, F.T.M. & Kuiken, G.D.C. 1995 The role of elongational viscosity in the mechanism of drag reduction by polymer additives. Appl. Sci. Res. 54, 95123.CrossRefGoogle Scholar
Dinic, J., Zhang, Y., Jimenez, L.N. & Sharma, V. 2015 Extensional relaxation times of dilute, aqueous polymer solutions. ACS Macro Lett. 4, 804808.CrossRefGoogle Scholar
Escudier, M.P., Nickson, A.K. & Poole, R.J. 2009 Turbulent flow of viscoelastic shear-thinning liquids through a rectangular duct: quantification of turbulence anisotropy. J. Non-Newtonian Fluid Mech. 160, 210.CrossRefGoogle Scholar
François, N., Lasne, D., Amarouchene, Y., Lounis, B. & Kellay, H. 2008 Drag enhancement with polymers. Phys. Rev. Lett. 100, 018302.CrossRefGoogle ScholarPubMed
Fu, Z., Iwaki, Y., Motozawa, M., Tsukahara, T. & Kawaguchi, Y. 2015 Characteristic turbulent structure of a modified drag-reduced surfactant solution flow via dosing water from channel wall. Intl J. Heat Fluid Flow 53, 135145.CrossRefGoogle Scholar
Fu, Z., Otsuki, T., Motozawa, M., Kurosawa, T., Yu, B. & Kawaguchi, Y. 2014 Experimental investigation of polymer diffusion in the drag-reduced turbulent channel flow of inhomogeneous solution. Intl J. Heat Mass Transfer 77, 860873.CrossRefGoogle Scholar
Gasljevic, K., Aguilar, G. & Matthys, E.F. 2007 Measurement of temperature profiles in turbulent pipe flow of polymer and surfactant drag-reducing solutions. Phys. Fluids 19, 083105.CrossRefGoogle Scholar
Graham, M.D. 2014 Drag reduction and the dynamics of turbulence in simple and complex fluids. Phys. Fluids 26, 101301.CrossRefGoogle Scholar
Groisman, A. & Steinberg, V. 2000 Elastic turbulence in a polymer solution flow. Nature 405, 5355.CrossRefGoogle Scholar
Hara, S., Maxson, A.J. & Kawaguchi, Y. 2019 Exergy transfer characteristics analysis of turbulent heat transfer enhancement in surfactant solution. Intl J. Heat Mass Transfer 130, 545554.CrossRefGoogle Scholar
Hara, S., Tsukahara, T. & Kawaguchi, Y. 2020 Turbulent transport dissimilarity with modulated turbulence structure in channel flow of viscoelastic fluid. Intl J. Heat Fluid Flow 86, 108739.CrossRefGoogle Scholar
Hidema, R., Fukushima, K., Yoshida, R. & Suzuki, H. 2020 Vortex deformation and turbulent energy of polymer solution in a two-dimensional turbulent flow. J. Non-Newtonian Fluid Mech. 285, 104385.CrossRefGoogle Scholar
Hidema, R., Murao, I., Komoda, Y. & Suzuki, H. 2018 Effects of the extensional rheological properties of polymer solutions on vortex shedding and turbulence characteristics in a two-dimensional turbulent flow. J. Non-Newtonian Fluid Mech. 254, 111.CrossRefGoogle Scholar
Hidema, R., Suzuki, H., Hisamatsu, S. & Komoda, Y. 2014 Characteristic scales of two-dimensional turbulence in polymer solutions. AIChE J. 60, 18541862.CrossRefGoogle Scholar
Hidema, R., Suzuki, H., Hisamatsu, S., Komoda, Y. & Furukawa, H. 2013 Effects of the extensional rate on two-dimensional turbulence of semi–dilute polymer solution flows. Rheol. Acta 52, 949961.CrossRefGoogle Scholar
Hidema, R., Suzuki, H., Murao, I., Hisamatsu, S. & Komoda, Y. 2016 Effects of extensional rates on anisotropic structures and characteristic scales of two-dimensional turbulence in polymer solutions. Flow Turbul. Combust. 96, 227244.CrossRefGoogle Scholar
Kushwaha, A., Park, J.S. & Graham, M.D. 2017 Temporal and spatial intermittencies within channel flow turbulence near transition. Phys. Rev. Fluids 2, 024603.CrossRefGoogle Scholar
Li, F.-C., Kawaguchi, Y. & Hishhida, K. 2004 Investigation on the characteristics of turbulence transport for momentum and heat in a drag-reducing surfactant solution flow. Phys. Fluids 16, 32813295.CrossRefGoogle Scholar
Li, F.-C., Kawaguchi, Y. & Hishida, K. 2005 a Structural analysis of turbulent transport in a heated drag-reducing channel flow with surfactant additives. Intl J. Heat Mass Transfer 48, 965973.CrossRefGoogle Scholar
Li, F.-C., Kawaguchi, Y., Sagawa, T. & Hishida, K. 2005 b Reynolds-number dependence of turbulence structures in a drag-reducing surfactant solution channel flow investigated by particle image velocimetry. Phys. Fluids 17, 075104.CrossRefGoogle Scholar
Li, F.-C., Kawaguchi, Y., Yu, B., Wei, J.-J. & Hishida, K. 2008 Experimental study of drag-reduction mechanism for a dilute surfactant solution flow. Intl J. Heat Mass Transfer 51, 835843.CrossRefGoogle Scholar
Lu, B., Zheng, Y., Davis, H.T., Scriven, L.E., Talmon, Y. & Zakin, J.L. 1998 Effect of variations in counterion to surfactant ratio on rheology and microstructures of drag reducing cationic surfactant systems. Rheol. Acta 37, 528548.CrossRefGoogle Scholar
Lumley, J.L. 1973 Drag reduction in turbulent flow by polymer additives. J. Polym. Sci. Macromol. Rev. 7, 263290.CrossRefGoogle Scholar
Mckinley, G.H. & Tripathi, A. 2000 How to extract the Newtonian viscosity from capillary breakup measurements in a filament rheometer. J. Rheol. 44, 653670.CrossRefGoogle Scholar
Min, T., Yoo, J.Y., Choi, H. & Joseph, D.D. 2003 Drag reduction by polymer additives in a turbulent channel flow. J. Fluid Mech. 486, 213238.CrossRefGoogle Scholar
Motozawa, M., Sawada, T., Ishitsuka, S., Iwamoto, K., Ando, H., Senda, T. & Kawaguchi, Y. 2014 Experimental investigation on streamwise development of turbulent structure of drag-reducing channel flow with dosed polymer solution from channel wall. Intl J. Heat Fluid Flow 50, 5162.CrossRefGoogle Scholar
Ohlendorf, D., Interthal, W. & Hoffmann, H. 1986 Surfactant systems for drag reduction: physico-chemical properties and rheological behavior. Rheol. Acta 25, 468486.CrossRefGoogle Scholar
Owolabi, B.E., Dennis, D.J.C. & Poole, R.J. 2017 Turbulent drag reduction by polymer additives in parallel-shear flows. J. Fluid Mech. 827, R4.CrossRefGoogle Scholar
Pinho, F.T. & Whitelaw, J.H. 1990 Flow of non-Newtonian fluids in a pipe. J. Non-Newtonian Fluid Mech. 34, 129144.CrossRefGoogle Scholar
Poole, R. 2020 Editorial for the special issue on “Polymer degradation in turbulent drag reduction”. J. Non-Newtonian Fluid Mech. 281, 104283.CrossRefGoogle Scholar
Rivera, M., Vorobieff, P. & Ecke, R.E. 1998 Turbulence in flowing soap films: velocity, vorticity, and thickness fields. Phys. Rev. Lett. 81, 14171420.CrossRefGoogle Scholar
Rodd, L.R., Scott, T.P., Cooper-White, J.J. & Mckinley, G.H. 2005 Capillary break-up rheometry of low-viscosity elastic fluids. Appl. Rheol. 15, 1227.CrossRefGoogle Scholar
Rutgers, M.A., Wu, X.-L., Bhagavatula, R., Petersen, A.A. & Goldburg, W.I. 1996 Two-dimensional velocity profiles and laminar boundary layers in flowing soap films. Phys. Fluids 8, 28472854.CrossRefGoogle Scholar
Shi, H., Wang, Y., Fang, B., Talmon, Y., Ge, W., Raghavan, S.R. & Zakin, J.L. 2011 Light-responsive threadlike micelles as drag reducing fluids with enhanced heat-transfer capabilities. Langmuir 27, 58065813.CrossRefGoogle ScholarPubMed
Soares, E.J. 2020 Review of mechanical degradation and de-aggregation of drag reducing polymers in turbulent flows. J. Non-Newtonian Fluid Mech. 276, 104225.CrossRefGoogle Scholar
Suzuki, H., Fuller, G.G., Nakayama, T. & Usui, H. 2004 Development characteristics of drag-reducingsurfactant solution flow in a duct. Rheol. Acta 43, 232239.CrossRefGoogle Scholar
Suzuki, H., Higuchi, Y., Watanabe, H., Komoda, Y., Ozawa, S., Nishimura, T. & Takenaka, N. 2012 Relaxation behavior of a drag-reducing cationic surfactant solution. Nihon Reoroji Gakkaishi 40, 8590.CrossRefGoogle Scholar
Suzuki, H., Nguyen, H.-P., Nakayama, T. & Usui, H. 2005 Development characteristics of fluctuating velocity field of drag-reducing surfactant solution flow in a duct. Rheol. Acta 44, 457464.CrossRefGoogle Scholar
Tamano, S., Graham, M.D. & Morinishi, Y. 2011 Streamwise variation of turbulent dynamics in boundary layer flow of drag-reducing fluid. J. Fluid Mech. 686, 352377.CrossRefGoogle Scholar
Tamano, S., Kitao, T. & Morinishi, Y. 2014 Turbulent drag reduction of boundary layer flow with non-ionic surfactant injection. J. Fluid Mech. 749, 367403.CrossRefGoogle Scholar
Tamano, S., Uchikawa, H., Ito, J. & Morinishi, Y. 2018 Streamwise variations of turbulence statistics up to maximum drag reduction state in turbulent boundary layer flow due to surfactant injection. Phys. Fluids 30, 075103.CrossRefGoogle Scholar
Usui, H., Itoh, T. & Saeki, T. 1998 On pipe diameter effects in surfactant drag-reducing pipe flows. Rheol. Acta 37, 122128.CrossRefGoogle Scholar
Virk, P.S., Merrill, E.W., Mickley, H.S., Smith, K.A. & Mollo-Christensen, E.L. 1967 The Toms phenomenon: turbulent pipe flow of dilute polymer solutions. J. Fluid Mech. 30, 305328.CrossRefGoogle Scholar
Wang, S.-N., Shekar, A. & Graham, M.D. 2017 Spatiotemporal dynamics of viscoelastic turbulence in transitional channel flow. J. Non-Newtonian Fluid Mech. 244, 104122.CrossRefGoogle Scholar
Wei, J.-J., Kawaguchi, Y., Li, F.-C., Yu, B., Zakin, J.L., Hart, D.J. & Zhang, Y. 2009 Drag-reducing and heat transfer characteristics of a novel zwitterionic surfactant solution. Intl J. Heat Mass Transfer 52, 35473554.CrossRefGoogle Scholar
Wei, T. & Willmarth, W.W. 1992 Modifying turbulent structure with drag-reducing polymer additives in turbulent channel flows. J. Fluid Mech. 245, 619641.CrossRefGoogle Scholar
Whalley, R.D., Dennis, D.J.C., Graham, M.D. & Poole, R.J. 2019 An experimental investigation into spatiotemporal intermittencies in turbulent channel flow close to transition. Exp. Fluids 60, 102.CrossRefGoogle Scholar
Xi, L. & Graham, M.D. 2010 Active and hibernating turbulence in minimal channel flow of Newtonian and polymeric fluids. Phys. Rev. Lett. 104, 218301.CrossRefGoogle ScholarPubMed
Zakin, J.L. & Ge, W. 2010 Polymer and surfactant drag reduction in turbulent flows. In Polymer Physics: From Suspensions to Nanocomposites and Beyond, Chapter 2, August 2010 (ed. L.A. Utracki & A.M. Jamieson), pp. 89–127. Wiley.CrossRefGoogle Scholar
Zakin, J.L., Myska, J. & Chara, Z. 1996 New limiting drag reduction and velocity profile asymptotes for nonpolymeric additives systems. AIChE J. 42, 35443546.CrossRefGoogle Scholar
Zhu, L., Bai, X., Krushelnycky, E. & Xi, L. 2019 Transient dynamics of turbulence growth and bursting: effects of drag-reducing polymers. J. Non-Newtonian Fluid Mech. 266, 127142.CrossRefGoogle Scholar
Zhu, L., Schrobsdorff, H., Schneider, T.M. & Xi, L. 2018 Distinct transition in flow statistics and vortex dynamics between low- and high-extent turbulent drag reduction in polymer fluids. J. Non-Newtonian Fluid Mech. 262, 115130.CrossRefGoogle Scholar