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Turbulent flow profiles are known to change between low- (LDR) and high-extent drag reduction (HDR) regimes. It is however not until recently that the LDR-HDR transition is recognized as a fundamental change between two DR mechanisms.…

Fluid Dynamics · Physics 2019-12-31 Lu Zhu , Li Xi

The existence of drag reduction by polymer additives, well established for wall-bounded turbulent flows, is controversial in homogeneous, isotropic turbulence. To settle this controversy we carry out a high-resolution direct numerical…

Chaotic Dynamics · Physics 2013-05-29 Prasad Perlekar , Dhrubaditya Mitra , Rahul Pandit

The phenomenon of drag reduction by polymer additives had been studied in simulations on the basis of non-Newtonian fluid mechanical models that take into account the field of polymer extension (conformation tensor) and its interaction with…

Fluid Dynamics · Physics 2009-11-10 Roberto Benzi , Emily S. C. Ching , Itamar Procaccia

High-speed stereo PIV-measurements have been performed in a turbulent boundary layer at Re$_{\theta}$ of 9800 in order to elucidate the coherent structures. Snapshot proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD)…

Fluid Dynamics · Physics 2017-04-14 Naseem Ali , Murat Tutkun , Raúl Bayoán Cal

The flow of fluids in channels, pipes or ducts, as in any other wall-bounded flow (like water along the hulls of ships or air on airplanes) is hindered by a drag, which increases many-folds when the fluid flow turns from laminar to…

Chaotic Dynamics · Physics 2009-11-13 Itamar Procaccia , Victor S. L'vov , Roberto Benzi

We present an experimental study on the drag reduction by polymers in Taylor-Couette turbulence at Reynolds numbers ($Re$) ranging from $4\times 10^3$ to $2.5\times 10^4$. In this $Re$ regime, the Taylor vortex is present and accounts for…

Fluid Dynamics · Physics 2024-12-06 Yi-Bao Zhang , Yaning Fan , Jinghong Su , Heng-Dong Xi , Chao Sun

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

We present the most extensive direct numerical simulations, attempted so far, of statistically steady, homogeneous, isotropic turbulence in two-dimensional fluid films with air-drag-induced friction and with polymer additives. Our study…

Fluid Dynamics · Physics 2016-11-16 Anupam Gupta , Prasad Perlekar , Rahul Pandit

We address the mechanism of drag reduction by polymers in turbulent wall bounded flows. On the basis of the equations of fluid mechanics we present a quantitative derivation of the "maximum drag reduction (MDR) asymptote" which is the…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia , Vasil Tiberkevich

Nonlinear traveling waves that are precursors to laminar-turbulent transition and capture the main structures of the turbulent buffer layer have recently been found to exist in all the canonical parallel flow geometries. We study the effect…

Fluid Dynamics · Physics 2009-11-11 Wei Li , Li Xi , Michael D. Graham

The current theories on the mechanism for polymer drag-reduction (DR) are generally applicable for long-chain flexible polymers that form viscoelastic solutions. Rigid polymer solutions that generate DR seemingly lack prevalent viscoelastic…

Fluid Dynamics · Physics 2021-11-03 Lucas Warwaruk , Sina Ghaemi

We present results from a systematic numerical study of decaying turbulence in a dilute polymer solution by using a shell-model version of the FENE-P equations. Our study leads to an appealing definition of drag reduction for the case of…

Statistical Mechanics · Physics 2009-11-10 Chirag Kalelkar , Rama Govindarajan , Rahul Pandit

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

We address the "Additive Equivalence" discovered by Virk and coworkers: drag reduction affected by flexible and rigid rodlike polymers added to turbulent wall-bounded flows is limited from above by a very similar Maximum Drag Reduction…

Chaotic Dynamics · Physics 2009-11-11 Roberto Benzi , Emily S. C. Ching , T. S. Lo , Victor S. L'vov , Itamar Procaccia

A small amount of polymer additives can cause substantial reduction in the energy dissipation and friction loss of turbulent flow. The problem of polymer-induced drag reduction has attracted continuous attention over the seven decades since…

Fluid Dynamics · Physics 2019-12-30 Li Xi

We present an analysis of the coherent structures in Langmuir turbulence, a state of the ocean surface boundary layer driven by the interactions between water waves and wind-induced shear, via a resolvent framework. Langmuir turbulence is…

Fluid Dynamics · Physics 2026-01-14 Anqing Xuan , Lian Shen

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

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

Motivated by the large effect of turbulent drag reduction by minute concentrations of polymers we study the effects of a weakly space-dependent viscosity on the stability of hydrodynamic flows. In a recent Letter [Phys. Rev. Lett. {\bf 87},…

Chaotic Dynamics · Physics 2009-11-07 Rama Govindarajan , Victor S. L'vov , Itamar Procaccia

Turbulent boundary layers over flat walls in the presence of a hill are frequently found in nature and industry. Some examples are the air flows over hills and desert dunes, but also water flows over aquatic dunes inside closed conduits.…

Fluid Dynamics · Physics 2017-06-09 Erick de Moraes Franklin , Guilherme Augusto Ayek
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