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By analyzing hot-wire velocity data taken in an open channel flow, an unambiguous definition of surface-layer thickness is here provided in terms of the cross-over scale between backward and forward energy fluxes. It is shown that the…

Fluid Dynamics · Physics 2016-11-18 Guido Troiani , Francesco Cioffi , Angelo Olivieri , Carlo Massimo Casciola

We develop a stochastic model for the velocity gradients dynamics along a Lagrangian trajectory. Comparing with different attempts proposed in the literature, the present model, at the cost of introducing a free parameter known in…

Fluid Dynamics · Physics 2018-02-23 Rodrigo M. Pereira , Luca Moriconi , Laurent Chevillard

We characterize the dynamical behavior of a clamped flexible fiber immersed in wall turbulence over a wide range of natural frequencies by means of direct numerical simulations. Only two flapping states are possible: one where the fiber…

Fluid Dynamics · Physics 2024-05-15 Giulio Foggi Rota , Morie Koseki , Riya Agrawal , Stefano Olivieri , Marco Edoardo Rosti

This paper reports turbulent boundary layer measurements made over open-cell reticulated foams with varying pore size and thickness, but constant porosity ($\epsilon \approx 0.97$). The foams were flush-mounted into a cutout on a flat…

Fluid Dynamics · Physics 2018-03-14 Christoph Efstathiou , Mitul Luhar

We study the statistics of free-surface turbulence at large Reynolds numbers produced by direct numerical simulations in a fluid layer at different thickness with fixed characteristic forcing scale. We observe the production of a transient…

Fluid Dynamics · Physics 2022-12-12 G. Boffetta , A. Mazzino , S. Musacchio , M. E. Rosti

Theoretical considerations are made of superfluid turbulence in the Kelvin wave cascade regime at low temperatures (T < 1K) and length scales of the order or smaller than the intervortical distance. The energy spectrum is shown to be in…

Other Condensed Matter · Physics 2017-12-07 Bhimsen Shivamoggi

A Lagrangian experimental study of an axisymmetric turbulent water jet is performed to investigate the highly anisotropic and inhomogeneous flow field. The measurements were conducted within a Lagrangian exploration module, an icosahedron…

Wall turbulence consists of various sizes of vortical structures that induce flow circulation around a wide range of closed Eulerian loops. Here we investigate the multiscale properties of circulation around such loops in statistically…

Fluid Dynamics · Physics 2025-06-11 Peng-Yu Duan , Xi Chen , Katepalli R. Sreenivasan

We analyze the Lagrangian flow in a family of simple Gaussian scale-invariant velocity ensembles that exhibit both spatial roughness and temporal correlations. We show that the behavior of the Lagrangian dispersion of pairs of fluid…

Chaotic Dynamics · Physics 2007-05-23 Marta Chaves , Krzysztof Gawedzki , Peter Horvai , Antti Kupiainen , Nassimo Vergassola

The statistical geometry of dispersing Lagrangian clusters of four particles (tetrahedra) is studied by means of high-resolution direct numerical simulations of three-dimensional homogeneous isotropic turbulence. We give the first evidence…

Chaotic Dynamics · Physics 2016-09-08 L. Biferale , G. Boffetta , A. Celani , B. Devenish , A. Lanotte , F. Toschi

We study the local structure and the regularity of free boundaries of segregated critical configurations involving the square root of the laplacian. We develop an improvement of flatness theory and, as a consequence of this and Almgren's…

Analysis of PDEs · Mathematics 2018-12-03 Daniela De Silva , Susanna Terracini

Turbulent flows in three dimensions are characterized by the transport of energy from large to small scales through the energy cascade. Since the small scales are the result of the nonlinear dynamics across the scales, they are often…

Fluid Dynamics · Physics 2025-03-19 Lukas Bentkamp , Michael Wilczek

The instant Lagranian coordinator system is used to describe the fluid material motion. By this way, the instant deformation gradient (expressed by spatial velocity gradient) concept is established. Based on this geometrical understanding,…

Fluid Dynamics · Physics 2007-05-23 Jianhua Xiao

The Ekman boundary layer is a fundamental concept in fluid dynamics that describes fluid motion near boundaries affected by Earth's rotation. Most theoretical studies have simplified their analysis by assuming a planar boundary surface,…

Mathematical Physics · Physics 2025-12-23 Yifei Jia , Yi Du , Lihui Guo

The study of coolant flow behavior in rod bundles is of relevance to the design of nuclear reactors. Although laminar and turbulent flows have been researched extensively, there are still gaps in understanding the process of…

Fluid Dynamics · Physics 2023-08-31 Carolina Bourdot Dutra , Elia Merzari

We comprehensively study the effects of bubble wall thickness and speed on the gravitational wave emission spectrum of collisions of two vacuum bubbles. We numerically simulate a large dynamical range, making use of symmetry to reduce the…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-16 Oliver Gould , Satumaaria Sukuvaara , David Weir

We study the flow induced by random vibration of a solid boundary in an otherwise quiescent fluid. The analysis is motivated by experiments conducted under the low level and random effective acceleration field that is typical of a…

Pattern Formation and Solitons · Physics 2019-09-25 Dmitri Volfson , Jorge Vinals

Turbulent flows driven by a vertically invariant body force were proven to become exactly two-dimensional above a critical rotation rate, using upper bound theory. This transition in dimensionality of a turbulent flow has key consequences…

Fluid Dynamics · Physics 2023-07-19 Kannabiran Seshasayanan , Basile Gallet

Rotations on the circle by irrational numbers give rise to uniquely ergodic Sturm dynamical systems. We show that rotations by badly approximable irrationals have the property of fast ergodicity. It was shown recently that any Sturmian…

Dynamical Systems · Mathematics 2024-01-30 Damian Głodkowski , Jacek Miȩkisz

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel