- Rapid Communication
- Access by Xinjiang University
Semiflexible particles in isotropic turbulence
Phys. Rev. Fluids 1, 082402(R) – Published 9 December, 2016
DOI: https://doi.org/10.1103/PhysRevFluids.1.082402
Abstract
The Lagrangian dynamics of semiflexible particles in homogeneous and isotropic turbulent flows is studied by means of analytically solvable stochastic models and direct numerical simulations. The stationary statistics of the bending angle shows a strong dependence on the dimension of the flow. In two-dimensional turbulence, particles are found in either a fully extended or a fully folded configuration; in three dimensions, the predominant configuration is the fully extended one. Such a sensitivity of the bending statistics on the dimensionality of the flow is peculiar to fluctuating flows and is not observed in laminar stretching flows.
Physics Subject Headings (PhySH)
Article Text
References (30)
- G. Falkovich, K. Gawędzki, and M. Vergassola, Particles and fields in fluid turbulence, Rev. Mod. Phys. 73, 913 (2001).
- R. Pandit, P. Perlekar, and S. S. Ray, Statistical properties of turbulence: An overview, Pramana 73, 157 (2009).
- F. Toschi and E. Bodenschatz, Lagrangian properties of particles in turbulence, Annu. Rev. Fluid Mech. 41, 375 (2009).
- J. P. L. C. Salazar and L. R. Collins, Two-particle dispersion in isotropic turbulent flows, Annu. Rev. Fluid Mech. 41, 405 (2009).
- J. Bec, L. Biferale, G. Boffetta, M. Cencini, S. Musacchio, and F. Toschi, Lyapunov exponents of heavy particles in turbulence, Phys. Fluids 18, 091702 (2006).
- S. Musacchio and D. Vincenzi, Deformation of a flexible polymer in a random flow with long correlation time, J. Fluid Mech. 670, 326 (2011).
- A. Pumir and M. Wilkinson, Orientation statistics of small particles in turbulence, New J. Phys. 13, 093030 (2011).
- S. Parsa, E. Calzavarini, F. Toschi, and G. A. Voth, Rotation Rate of Rods in Turbulent Fluid Flow, Phys. Rev. Lett. 109, 134501 (2012).
- D. Vincenzi, Orientation of non-spherical particles in an axisymmetric random flow, J. Fluid Mech. 719, 465 (2013).
- K. Gustavsson, J. Einarsson, and B. Mehlig, Tumbling of Small Axisymmetric Particles in Random and Turbulent Flows, Phys. Rev. Lett. 112, 014501 (2014).
- A. Gupta, D. Vincenzi, and R. Pandit, Elliptical tracers in two-dimensional, homogeneous, isotropic fluid turbulence: The statistics of alignment, rotation, and nematic order, Phys. Rev. E 89, 021001(R) (2014).
- L. Chevillard and C. Meneveau, Orientation dynamics of small, triaxial-ellipsoidal particles in isotropic turbulence, J. Fluid Mech. 737, 571 (2013).
- E. L. C. VI M. Plan, A. Ali, and D. Vincenzi, Bead-rod-spring models in random flows, Phys. Rev. E 94, 020501(R) (2016).
- G. G. Marcus, S. Parsa, S. Kramel, R. Ni, and G. A. Voth, Measurements of the solid-body rotation of anisotropic particles in 3D turbulence, New J. Phys. 16, 102001 (2014).
- K. Gustavsson and L. Biferale, Preferential sampling of helicity by isotropic helicoids, Phys. Rev. Fluids 1, 054201 (2016).
- S. Kramel, G. A. Voth, S. Tympel, and F. Toschi, Preferential Rotation of Chiral Dipoles in Isotropic Turbulence, Phys. Rev. Lett. 117, 154501 (2016).
- O. Hassager, Kinetic theory and rheology of bead-rod models for macromolecular solutions. I. Equilibrium and steady flow properties, J. Chem. Phys. 60, 2111 (1974); Kinetic theory and rheology of bead-rod models for macromolecular solutions. II. Linear unsteady flow properties, ibid. 60, 4001 (1974).
- R. B. Bird, O. Hassager, R. C. Armstrong, and C. F. C. Curtiss, Dynamics of Polymeric Liquids (Wiley, New York, 1977), Vol. 2.
- D. B. Roitman, The elastic trumbbell model for dynamics of stiff chains, in Rotational Dynamics of Small and Macromolecules, Proceedings of a Workshop held at the Zentrum für interdisziplinäre Forschung Universität Bielefeld, Bielefield, edited by Th. Dormfüller and R. Pecora, Lecture Notes in Physics Vol. 293 (Springer, Berlin Heidelberg, 1987), p. 192.
- J. Garcia de la Torre, Hydrodynamics of segmentally flexible macromolecules, Eur. Biophys. J. 23, 307 (1994).
- E. J. Hinch, Brownian motion with stiff bonds and rigid constraints, J. Fluid Mech. 271, 219 (1994).
- F. G. Diaz and J. Garcia de la Torre, Simulation of the rotational Brownian dynamics of a simple, segmentally flexible model: The elastic trumbbell, J. Chem. Phys. 88, 7698 (1988).
- R. J. Lewis, S. A. Allison, D. Eden, and R. Pecora, Brownian dynamics simulations of a three-subunit and a ten-subunit worm-like chain: Comparison of results with trumbell theory and with experimental results from DNA, J. Chem. Phys. 89, 2490 (1988).
- E. L. C. VI M. Plan and D. Vincenzi, Tumbling of a Brownian particle in an extensional flow, Proc. R. Soc. London A 472, 20160226 (2016).
- R. H. Kraichnan, Small-scale structure of a scalar field convected by turbulence, Phys. Fluids 11, 945 (1968).
- H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1989).
- P. Perlekar, S. S. Ray, D. Mitra, and R. Pandit, Persistence Problem in Two-Dimensional Fluid Turbulence, Phys. Rev. Lett. 106, 054501 (2011).
- S. S. Ray, D. Mitra, P. Perlekar, and R. Pandit, Dynamic Multiscaling in Two-Dimensional Fluid Turbulence, Phy. Rev. Lett. 107, 184503 (2011).
- A. G. Lamorgese, D. A. Caughey, and S. B. Pope, Direct numerical simulation of homogeneous turbulence with hyperviscosity, Phys. Fluids 17, 015106 (2005).
- G. Sahoo, P. Perlekar, and R. Pandit, Systematics of the magnetic-Prandtl-number dependence of homogeneous, isotropic magnetohydrodynamic turbulence, New J. Phys. 13, 013036 (2011).