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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…

混沌动力学 · 物理学 2007-05-23 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia , Vasil Tiberkevich

Drag reduction by polymers in wall turbulence is bounded from above by a universal maximal drag reduction (MDR) velocity profile that is a log-law, estimated experimentally by Virk as $V^+(y^+)\approx 11.7 \log y^+ -17$. Here $V^+(y)$ and…

混沌动力学 · 物理学 2009-11-11 Roberto Benzi , Elisabetta deAngelis , Victor S. L'vov , Itamar Procaccia

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…

混沌动力学 · 物理学 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…

流体动力学 · 物理学 2009-11-10 Roberto Benzi , Emily S. C. Ching , Itamar Procaccia

Drag reduction by polymers is bounded between two universal asymptotes, the von-K\'arm\'an log-law of the law and the Maximum Drag Reduction (MDR) asymptote. It is theoretically understood why the MDR asymptote is universal, independent of…

混沌动力学 · 物理学 2009-11-11 Emily S. C. Ching , T. S. Lo , Itamar Procaccia

Polymer additives can substantially reduce the drag of turbulent flows and the upper limit, the so called "maximum drag reduction" (MDR) asymptote is universal, i.e. independent of the type of polymer and solvent used. Until recently, the…

流体动力学 · 物理学 2019-07-24 Jose M. Lopez , George H. Choueiri , Bjoern Hof

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…

流体动力学 · 物理学 2018-03-28 George H. Choueiri , Jose M. Lopez , Bjoern Hof

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…

混沌动力学 · 物理学 2009-11-13 Itamar Procaccia , Victor S. L'vov , Roberto Benzi

We present experimental and theoretical results addressing the Reynolds number (Re) dependence of drag reduction by sufficiently large concentrations of rod-like polymers in turbulent wall-bounded flows. It is shown that when Re is small…

混沌动力学 · 物理学 2007-05-23 Yacine Amarouchene , Daniel Bonn , Hamid Kellay , Ting-Shek Lo , Victor S. L'vov , Itamar Procaccia

Polymer-induced drag reduction is bounded by an asymptotic limit of maximum drag reduction (MDR). For decades, researchers have presumed that MDR reflects the convergence to an ultimate flow state that is not further changed by polymers.…

流体动力学 · 物理学 2021-01-26 Lu Zhu , Li Xi

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…

流体动力学 · 物理学 2019-12-30 Li Xi

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…

流体动力学 · 物理学 2024-12-06 Yi-Bao Zhang , Yaning Fan , Jinghong Su , Heng-Dong Xi , Chao Sun

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…

流体动力学 · 物理学 2015-05-18 Li Xi , Michael D. Graham

A simple model of the effect of polymer concentration on the amount of drag reduction in turbulence is presented, simulated and analyzed. The qualitative phase diagram of drag coefficient vs. Reynolds number (Re) is recaptured in this…

混沌动力学 · 物理学 2009-11-10 R. Benzi , E. S. C. Ching , N. Horesh , I. Procaccia

An addition of polymers can significantly reduce drag in wall-bounded turbulent flows, such as pipes or channels. This phenomenon is accompanied by a noticeable modification of the mean velocity profile. Starting from the premise that…

流体动力学 · 物理学 2025-08-22 Wouter J. T. Bos , Xuan Shao , Tong Wu , Le Fang

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…

流体动力学 · 物理学 2016-11-16 Anupam Gupta , Prasad Perlekar , Rahul Pandit

Recent experiments indicated that polymers can reduce the turbulent drag beyond the asymptotic limit known as the MDR, leading to a laminar flow. In this Letter, we show through direct numerical simulations that, when the MDR is exceeded,…

流体动力学 · 物理学 2019-11-04 Anselmo Pereira , Roney L. Thompson , Gilmar Mompean

The effect of the variations of the permeability tensor on the close-to-the-wall behaviour of a turbulent channel flow bounded by porous walls is explored using a set of direct numerical simulations. It is found that the total drag can be…

流体动力学 · 物理学 2018-02-05 Marco Edoardo Rosti , Luca Brandt , Alfredo Pinelli

Provided a sufficient concentration of long-chain polymers in a Newtonian solvent, turbulent wall-bounded flows exhibit a universal state known as Maximum Drag Reduction (MDR). Through direct numerical simulations, we show that the…

流体动力学 · 物理学 2025-03-18 Francesco Serafini , Francesco Battista , Paolo Gualtieri , Carlo Massimo Casciola

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…

流体动力学 · 物理学 2020-01-13 Yasaman Farsiani , Zeeshan Saeed , Balaji Jayaraman , Brian R. Elbing
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