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Related papers: Drag Reduction by Polymer Additives in Decaying Tu…

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We carry out a direct numerical simulation (DNS) study that reveals the effects of polymers on statistically steady, forced, homogeneous, isotropic fluid turbulence. We find clear manifestations of dissipation-reduction phenomena: On the…

Fluid Dynamics · Physics 2011-02-01 Prasad Perlekar , Dhrubaditya Mitra , Rahul Pandit

We investigate turbulence in dilute polymer solutions when polymers are strongly stretched by the flow. We establish power-law spectrum of velocity, which is not associated with a flux of a conserved quantity, in two cases. The first case…

Chaotic Dynamics · Physics 2009-11-07 A. Fouxon , V. Lebedev

We extend the analysis of the friction factor for turbulent pipe flow reported by G. Gioia, P. Chakraborty and N. Goldenfeld (GCG) (G. Gioia and P. Chakraborty, Phys. Rev. Lett. 96, 044502 (2006), N. Goldenfeld, Phys. Rev. Lett. 96, 044503…

Fluid Dynamics · Physics 2015-05-18 Esteban Calzetta

The interaction of flexible polymers with fluid flows leads to a number of intriguing phenomena observed in laboratory experiments, namely drag reduction, elastic turbulence and heat transport modification in natural convection, and is one…

Fluid Dynamics · Physics 2018-10-29 Roberto Benzi , Emily S. C. Ching

The modification of dominant coherent structures that extend through the log-region of a drag reduced turbulent boundary layer is studied via examination of two-point correlations from time-resolved particle-image-velocimetry. Measurements…

Fluid Dynamics · Physics 2020-01-13 Yasaman Farsiani , Zeeshan Saeed , Balaji Jayaraman , Brian R. Elbing

We investigate the well-posedness of a coupled Navier-Stokes-Fokker-Planck system with a time-fractional derivative. Such systems arise in the kinetic theory of dilute solutions of polymeric liquids, where the motion of noninteracting…

Analysis of PDEs · Mathematics 2026-04-10 Marvin Fritz , Endre Süli , Barbara Wohlmuth

Elastic turbulence is a chaotic regime that emerges in polymer solutions at low Reynolds numbers. A common way to ensure stability in numerical simulations of polymer solutions is to add artificially large polymer-stress diffusion. In order…

Fluid Dynamics · Physics 2019-05-22 Anupam Gupta , Dario Vincenzi

We study the physics of turbulent/non-turbulent interface of an isolated turbulent region in dilute polymer solutions and Newtonian fluid. The performance of a FENE-P model with a localized homogeneous forcing is verified using the…

Reducing wall drag in turbulent pipe and channel flows is an issue of great practical importance. In engineering applications, end-functionalized polymer chains are often employed as agents to reduce drag. These are polymers which are…

Analysis of PDEs · Mathematics 2021-06-08 Theodore D. Drivas , Joonhyun La

Minute amount of long chain flexible polymer dissolved in a turbulent flow can drastically change flow properties, such as reducing the drag and enhancing mixing. One fundamental riddle is how these polymer additives interact with the…

Fluid Dynamics · Physics 2021-02-02 Yi-Bao Zhang , Eberhard Bodenschatz , Haitao Xu , Heng-Dong Xi

In this review, we describe turbulent drag reduction in a variety of flows using a universal framework of energy flux. In a turbulent flow with dilute polymers and magnetic field, the kinetic energy injected at large scales cascades to the…

Plasma Physics · Physics 2023-01-04 Mahendra K. Verma , Manohar K. Sharma , Soumyadeep Chatterjee

Polymeric turbulence, flows of fluids with dilute polymer additives at high Reynolds numbers, exhibits striking deviations from the Kolmogorovean behaviour of Newtonian turbulence. Recent experiments as well as simulations have uncovered a…

Fluid Dynamics · Physics 2025-07-30 Alessandro Chiarini , Rahul K. Singh , Marco E. Rosti

The drag of turbulent flows can be drastically decreased by addition of small amounts of high molecular weight polymers. While drag reduction initially increases with polymer concentration, it eventually saturates to what is known as the…

Fluid Dynamics · Physics 2018-03-28 George H. Choueiri , Jose M. Lopez , Bjoern Hof

Numerical simulations of turbulent channel flows, with or without additives, are limited in the extent of the Reynolds number \Re and Deborah number \De. The comparison of such simulations to theories of drag reduction, which are usually…

Chaotic Dynamics · Physics 2009-11-13 Roberto Benzi , Emily S. C. Ching , Elisabetta De Angelis , Itamar Procaccia

We study the dynamics of a dilute solution of rigid rodlike polymers in a viscous fluid at low Reynolds number by means of numerical simulations of a simple rheological model. We show that the rotational dynamics of polymers destabilizes…

Fluid Dynamics · Physics 2022-11-11 Leonardo Puggioni , Guido Boffetta , Stefano Musacchio

We investigate high-Reynolds number turbulence in dilute polymer solutions. We show the existence of a critical value of the Reynolds number which separates two different regimes. In the first regime, below the transition, the influence of…

Chaotic Dynamics · Physics 2009-11-07 E. Balkovsky , A. Fouxon , V. Lebedev

Elasto-inertial turbulence is a new state of turbulence found in flows with polymer additives . The dynamics of turbulence generated and controlled by such additives is investigated from the perspective of the coupling between polymer…

Fluid Dynamics · Physics 2015-06-12 Yves Dubief , Vincent E. Terrapon , Julio Soria

We make time resolved velocity measurements of steel spheres in free fall through liquid using a continuous ultrasound technique. We explore two different ways to induce large changes in drag on the spheres: 1) a small quantity of…

Fluid Dynamics · Physics 2009-11-13 Nicolas Lyotard , Woodrow Shew , Lydéric Bocquet , Jean-François Pinton

Decaying and periodically kicked turbulence are analyzed within the GOY shell model, to allow for sufficiently large scaling regimes. Energy is transfered towards the small scales in intermittent bursts. Nevertheless, mean field arguments…

Chaotic Dynamics · Physics 2009-10-31 Jan-Otto Hooghoudt , Detlef Lohse , Federico Toschi

We investigate the stretching mechanism of Finitely Extensible Nonlinear Elastic (FENE) model of polymers in a random turbulent flow. The turbulent model includes a dominant space-scale $\ell\sim N^{-1}$, a dominant time-scale $\tau$, and…

Probability · Mathematics 2026-05-18 Federico Butori , Yassine Tahraoui