- Rapid Communication
- Access by Xinjiang University
Probing the strain-rotation balance in non-Newtonian turbulence with inertial particles
Phys. Rev. Fluids 3, 082602(R) – Published 9 August, 2018
DOI: https://doi.org/10.1103/PhysRevFluids.3.082602
Abstract
It has long been thought that small amounts of polymer additives can alter the balance between strain and rotation in turbulent flow. Quantitative evidence for this idea, however, is scant, in part because measuring the velocity gradient in intense turbulence is very difficult. Here, we take a different approach to investigating this question, using the well-known preferential concentration effect of inertial particles in turbulence as a probe of the strain-rotation balance. By measuring the pair correlation function of weakly inertial particles in a turbulent water flow with varying concentrations of a high-molecular-weight polyacrylamide, we show that particle clustering is monotonically enhanced as the polymer concentration increases. Our results are consistent with the recently developed energy flux balance model for polymer turbulence, which demonstrates that the balance between strain and rotation is indeed modified by polymers and that this effect increases with the polymer concentration. Our results provide further support for the energy flux balance model as the proper description of polymer turbulence, and highlight the utility of inertial particle clustering as a probe for characterizing the small-scale dynamics of turbulence.
Physics Subject Headings (PhySH)
Article Text
References (27)
- B. A. Toms, Some observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers, in Proceedings of the First International Congress on Rheology (North-Holland, Amsterdam, 1948), pp. 135–141.
- J. L. Lumley, Drag reduction in turbulent flow by polymer additives, J. Polymer Sci.: Macromol. Rev. 7, 263 (1973).
- C. M. White and M. G. Mungal, Mechanics and prediction of turbulent drag reduction with polymer additives, Annu. Rev. Fluid Mech. 40, 235 (2008).
- Y.-C. Xie, S.-D. Huang, D. Funfschilling, X.-M. Li, R. Ni, and K.-Q. Xia, Effects of polymer additives in the bulk of turbulent thermal convection, J. Fluid Mech. 784, R3 (2015).
- P. Tong, W. I. Goldburg, and J. S. Huang, Measured effects of polymer additives on turbulent-velocity fluctuations at various length scales, Phys. Rev. A 45, 7231 (1992).
- A. Liberzon, M. Guala, W. Kinzelbach, and A. Tsinober, On turbulent kinetic energy production and dissipation in dilute polymer solutions, Phys. Fluids 18, 125101 (2006).
- P. Perlekar, D. Mitra, and R. Pandit, Manifestations of Drag Reduction by Polymer Additives in Decaying, Homogeneous, Isotropic Turbulence, Phys. Rev. Lett. 97, 264501 (2006).
- A. M. Crawford, N. Mordant, H. Xu, and E. Bodenschatz, Fluid acceleration in the bulk of turbulent dilute polymer solutions, New J. Phys. 10, 123015 (2008).
- N. T. Ouellette, H. Xu, and E. Bodenschatz, Bulk turbulence in dilute polymer solutions, J. Fluid Mech. 629, 375 (2009).
- P. Perlekar, D. Mitra, and R. Pandit, Direct numerical simulation of statistically steady, homogeneous, isotropic fluid turbulence with polymer additives, Phys. Rev. E 82, 066313 (2010).
- H.-D. Xi, E. Bodenschatz, and H. Xu, Elastic Energy Flux by Flexible Polymers in Fluid Turbulence, Phys. Rev. Lett. 111, 024501 (2013).
- A. de Chaumont Quitry and N. T. Ouellette, Concentration effects on turbulence in dilute polymer solutions far from walls, Phys. Rev. E 93, 063116 (2016).
- D. Bonn, Y. Couder, P. H. J. van Dam, and S. Douady, From small scales to large scales in three-dimensional turbulence: The effect of diluted polymers, Phys. Rev. E 47, R28 (1993).
- J. M. Wallace and P. V. Vukoslavčević, Measurement of the velocity gradient tensor in turbulent flows, Annu. Rev. Fluid Mech. 42, 157 (2010).
- R. Ni, S. Kramel, N. T. Ouellette, and G. A. Voth, Measurements of the coupling between the tumbling of rods and the velocity gradient tensor in turbulence, J. Fluid Mech. 766, 202 (2015).
- M. R. Maxey, The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields, J. Fluid Mech. 174, 441 (1987).
- K. D. Squires and J. K. Eaton, Preferential concentration of particles by turbulence, Phys. Fluids A 3, 1169 (1991).
- F. De Lillo, G. Boffetta, and S. Musacchio, Control of particle clustering in turbulence by polymer additives, Phys. Rev. E 85, 036308 (2012).
- J. Chun, D. L. Koch, S. L. Rani, A. Ahluwalia, and L. R. Collins, Clustering of aerosol particles in isotropic turbulence, J. Fluid Mech. 536, 219 (2005).
- S. Balachandar and J. K. Eaton, Turbulent dispersed multiphase flow, Annu. Rev. Fluid Mech. 42, 111 (2010).
- W. C. Reade and L. R. Collins, Effect of preferential concentration on turbulent collision rates, Phys. Fluids 12, 2530 (2000).
- E. W. Saw, R. A. Shaw, S. Ayyalasomayajula, P. Y. Chuang, and Á. Gylfason, Inertial Clustering of Particles in High-Reynolds-Number Turbulence, Phys. Rev. Lett. 100, 214501 (2008).
- M. Tabor and P. G. de Gennes, A cascade theory of drag reduction, Europhys. Lett. 2, 519 (1986).
- P. G. de Gennes, Towards a scaling theory of drag reduction, Physica A 140, 9 (1986).
- G. Ryskin, Turbulent Drag Reduction by Polymers: A Quantitative Theory, Phys. Rev. Lett. 59, 2059 (1987).
- O. Cadot, D. Bonn, and S. Douady, Turbulent drag reduction in a closed flow system: Boundary layer versus bulk effects, Phys. Fluids 10, 426 (1998).
- N. T. Ouellette, H. Xu, and E. Bodenschatz, A quantitative study of three-dimensional Lagrangian particle tracking algorithms, Exp. Fluids 40, 301 (2006).