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Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the interface between two immiscible fluids are constructed for the case of a small viscosity ratio between the fluid phases. The…

Soft Condensed Matter · Physics 2016-04-20 Aaron Dörr , Steffen Hardt

We investigate the phenomenon of drag reduction in a viscoelastic fluid model of dilute polymer solutions. By means of direct numerical simulations of the three-dimensional turbulent Kolmogorov flow we show that drag reduction takes place…

Chaotic Dynamics · Physics 2016-09-08 Guido Boffetta , Antonio Celani , Andrea Mazzino

Nontrivial steady flows have recently been found that capture the main structures of the turbulent buffer layer. We study the effects of polymer addition on these "exact coherent states" (ECS) in plane Couette flow. Despite the simplicity…

Fluid Dynamics · Physics 2009-11-07 Philip A. Stone , Fabian Waleffe , Michael D. Graham

We discuss the role of elastic stress in the statistical properties of elastic turbulence, realized by the flow of a polymer solution between two disks. The dynamics of the elastic stress are analogous to those of a small scale fast dynamo…

Fluid Dynamics · Physics 2009-11-13 Teodor Burghelea , Enrico Segre , Victor Steinberg

We experimentally assess the capabilities of an active, open-loop technique for drag reduction in turbulent wall flows recently introduced by Quadrio et al. [J. Fluid Mech., v.627, 161, (2009)]. The technique consists in generating…

Fluid Dynamics · Physics 2015-05-19 Franco Auteri , Arturo Baron , Marco Belan , Gabriele Campanardi , Maurizio Quadrio

We present an experimental investigation of turbulent drag reduction with flexible and rigid polymer solutions. The flexible polymer is partially hydrolyzed polyacrylamide (HPAM) and the rigid polymer is xanthan gum (XG). The experiments…

Fluid Dynamics · Physics 2022-10-20 Rodrigo S. Mitishita , Gwynn J. Elfring , Ian A. Frigaard

Gaining a fundamental understanding of turbulent flows of dilute polymer solutions has been a challenging and outstanding problem for a long time. In this letter, we examine homogeneous, isotropic polymeric turbulence at large Reynolds and…

Fluid Dynamics · Physics 2025-07-23 Piyush Garg , Marco Edoardo 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

Predicting the rheology of dense suspensions under inhomogeneous flow is crucial in many industrial and geophysical applications, yet the conventional `$\mu(J)$' framework is limited to homogeneous conditions in which the shear rate and…

Soft Condensed Matter · Physics 2023-08-17 Bhanu Prasad Bhowmik , Christopher Ness

Over the last two decades, both experiments and simulations have demonstrated that transverse wall oscillations with properly selected amplitude and frequency can reduce turbulent drag by as much as 40%. In this paper, we develop a…

Fluid Dynamics · Physics 2013-04-23 Rashad Moarref , Mihailo R. Jovanović

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

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

Direct numerical simulations of fully-developed turbulent channel flows with wavy walls are undertaken. The wavy walls, skewed with respect to the mean flow direction, are introduced as a means of emulating a Spatial Stokes Layer (SSL)…

Fluid Dynamics · Physics 2018-03-05 Sacha Ghebali , Sergei I. Chernyshenko , Michael A. Leschziner

The role of polymers additives on the turbulent convective flow of a Rayleigh--Taylor system is investigated by means of direct numerical simulations (DNS) of Oldroyd-B viscoelastic model. The dynamics of polymers elongation follow…

Chaotic Dynamics · Physics 2015-05-27 G. Boffetta , A. Mazzino , S. Musacchio

Direct Numerical Simulations of two superposed fluids in a channel with a textured surface on the lower wall have been carried out. A parametric study varying the viscosity ratio between the two fluids has been performed to mimic both {\bf…

Fluid Dynamics · Physics 2019-05-22 I. Arenas , E. Garcia , M. K. Fu , P. Orlandi , M. Hultmark , S. Leonardi

We study suspensions of solid particles in a viscous incompressible fluid in the presence of highly oscillatory velocity-dependent surface forces. The flow at a small Reynolds number is modeled by the Stokes equations coupled with the…

Analysis of PDEs · Mathematics 2013-04-10 Yuliya Gorb , Florian Maris , Bogdan Vernescu

Motivated by the large effect of turbulent drag reduction by minute concentrations of polymers we study the effects of minor viscosity contrasts on the stability of hydrodynamic flows. The key player is a localized region where the energy…

Chaotic Dynamics · Physics 2021-02-03 Rama Govindarajan , Victor S. L'vov , Itamar Procaccia

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 consider the two-dimensional (2D) flow in a flat free-slip surface that bounds a three-dimensional (3D) volume in which the flow is turbulent. The equations of motion for the two-dimensional flow in the surface are neither compressible…

Chaotic Dynamics · Physics 2009-11-07 Bruno Eckhardt , Joerg Schumacher

Turbulent channel flow of drag-reducing polymer solutions is simulated in minimal flow geometries. Even in the Newtonian limit, we find intervals of "hibernating" turbulence that display many features of the universal maximum drag reduction…

Fluid Dynamics · Physics 2015-05-18 Li Xi , Michael D. Graham