Abstract
The present paper describes the elastic turbulent flow numerically generated in a parallel plate channel. On the basis of the numerical results, the characteristics of the velocity fields, the polymer elongations and the underlying interaction process were investigated to get insight into this phenomenon. It is indicated that increasing the Weissenberg number, the flow oscillations become stronger and further intermittent with larger-time-scale flow structures. The transversal velocity was generated in the form of quadrupolar patterns localized in the regions with strong polymers’ feedback. Besides, the elastic instability vortex-tube-like structures (regions dominated by rotating motion) are formed mainly surrounding the regions where the polymers are strongly deformed.
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References
Bird RB, Curtiss CF, Armstrong RC, Hassager O (1987) Dynamics of polymers liquids. Wiley, New York
Toms BA (1949) Some observation on the flow of linear polymer solutions through straight tubes at large Reynolds number. In: Proceedings of 1st international congress on Rheology, North Holland 2:135–141
Groisman A, Steinberg V (2001) Efficient mixing at low Reynolds numbers using polymer additives. Nature 410:905–908
Burghelea T, Segre E, Steinberg V (2004) Mixing by polymers: experimental test of decay regime of mixing. Phys Rev Lett 92:164501
Burghelea T, Segre E, Bar-Josephi I, Groisman A, Steinberg V (2004) Chaotic flow and efficient mixing in microchannel with polymer solutions. Phys Rev E 69:066305
Li FC, Kinoshita H, Li XB, Oishi M, Fujii T, Oshima M (2010) Creation of very-low- Reynolds-number chaotic fluid motion in microchannel using visocelastic surfactant solution. Exp Therm Fluid Sci 34:20–27
Groisman A, Steignburg V (2004) Elastic turbulence in curvilinear flows of polymer solutions. New J Phys 6:29
Groisman A, Steignburg V (2001) Stretching of polymers in a random three-dimensional flow. Phys Rev Lett 86:934–93
Burghelea T, Segre E, Steinberg V (2006) Role of elastic stress in statistical and scaling properties of elastic turbulence. Phys Rev Lett 96:214502
Burghelea T, Segre E, Steinberg V (2007) Elastic turbulence in von Karman swirling flow between two disks. Phys Fluids 19:053104
Thomas DG, Sureshkumar R, Khomami B (2006) Pattern formation in Taylor-Couette flow of dilute polymer solutions: dynamical simulations and mechanism. Phys Rev Lett 97:054501
Berti S, Bistagnino A, Boffetta G, Celani A, Musacchio S (2008) Two-dimensional elastic turbulence. Phys Rev E 77:055306
Berti S, Boffetta G (2010) Elastic waves and transition to elastic turbulence in a two-dimensional viscoelastic Kolmogorov flow. Phys Rev E 82:036314
Thomases B, Shelley MJ (2009) Transition to mixing and oscillations in a Stokesian viscoelastic flow. Phys Rev Lett 103:094501
Zhang HN, Li FC, Cao Y, Yang JC, Li XB, Cai WH (2011) The vortex structures of elastic turbulence in 3D Kolmogorov flow with polymer additives. In: Proceeding of the sixth international conference on fluid mechanics, Paper No. 153, Guangzhou, China, 30 June–3 July 2011
Li FC, Zhang HN, Cao Y, Kinoshita H, Oshima M, Kunugi T (2012) Purely elastic instability and mixing enhancement in a 3D curvilinear channel flow. Chin Phys Lett 29:094704
Wei JJ, Kawaguchi Y, Yu B, Feng ZP (2006) Rheological characteristics and turbulent friction drag and heat transfer reductions of a very dilute cationic surfactant solution. ASME J Heat Transfer 128:977–983
Larson RG (1992) Review: instabilities in viscoelastic flows. Rheologica Acta 31:213–263
Shaqfeh ESG (1996) Purely elastic instabilities in viscometric flows. Annu Rev Fluid Mech 28:129–185
Groisman A, Steignberg V (2000) Elastic turbulence in a polymer solution flow. Nature 405:53–55
Acknowledgment
The authors were grateful for the support of the Ministry of Education, Culture, Sports, Science and Technology of Japan via “Energy Science in the Age of Global Warming” of Global Center of Excellence (G-COE) program (J-051).
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Zhang, H.N., Kunugi, T., Li, F.C. (2013). Characteristics of Velocity Fields and Polymers’ Elongation in Elastic Turbulent Flow. In: Yao, T. (eds) Zero-Carbon Energy Kyoto 2012. Green Energy and Technology. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54264-3_30
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DOI: https://doi.org/10.1007/978-4-431-54264-3_30
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