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Leading- and trailing-edge serrations have been widely used to reduce the leading- and trailing-edge noise in applications such as contra-rotating fans and large wind turbines. Recent studies show that these two noise problems can be…

Fluid Dynamics · Physics 2020-01-29 Benshuai Lyu , Lorna J. Ayton

We derive and establish a solution concept for the linear mountain wave problem in two dimensions. After linearizing the governing equations and a change of variables, the problem can be stated as a Dirichlet boundary value problem for a…

Analysis of PDEs · Mathematics 2026-03-24 Adrian Constantin , Jörg Weber

Traveling waves are ubiquitous in nature and control the speed of many important dynamical processes, including chemical reactions, epidemic outbreaks, and biological evolution. Despite their fundamental role in complex systems, traveling…

Populations and Evolution · Quantitative Biology 2011-05-30 Oskar Hallatschek

Trailing edge noise generated by turbulent flow traveling past an edge of an airfoil is one of the most essential aeroacoustic sound generation mechanisms. It is of great interest for noise problems in various areas of industrial…

Fluid Dynamics · Physics 2018-10-08 Benjamin Fassmann , Christof Rautmann , Roland Ewert , Jan Delfs

Direct numerical simulations are carried out to investigate the flow features responsible for secondary tones arising in trailing-edge noise at moderate Reynolds numbers. Simulations are performed for a NACA 0012 airfoil at freestream Mach…

Fluid Dynamics · Physics 2019-09-13 Tulio R. Ricciardi , Walter Arias-Ramirez , William R. Wolf

It has been reported that traveling waves propagate periodically and stably in sub-excitable systems driven by noise [Phys. Rev. Lett. \textbf{88}, 138301 (2002)]. As a further investigation, here we observe different types of traveling…

Chaotic Dynamics · Physics 2008-01-17 Fen-Ni Si , Quan-Xing Liu , Jin-Zhong Zhang , Lu-Qun Zhou

This study explores the noise reduction achieved by airfoils with serrated trailing edges in a low turbulence wind tunnel, focusing on acoustic spectral characteristics and wake flow field measurements. We analyze the effects of various…

Fluid Dynamics · Physics 2025-02-11 Weicheng Xue , Shaohong Jia , Hongyu Wang , Zhe Chen , Bing Yang

This work develops a spherical-multipole expansion of Goldstein's acoustic analogy, for the prediction of tonal noise from rotating propellers. The acoustic field is expressed through spherical multipoles, which separate source integrals…

Fluid Dynamics · Physics 2026-03-20 Felice Fruncillo , Paolo Luchini , Flavio Giannetti

New data was obtained for a frequency band that had not been so well-studied for sea surface probing applications before. During the described 2-weeks sea experiment 1-3 kHz tonal pulses were emitted from a platform, located on the northern…

Atmospheric and Oceanic Physics · Physics 2022-05-31 Alexey V. Ermoshkin , Dmitry A. Kosteev , Alexander A. Ponomarenko , Dmitry D. Razumov , Mikhail B. Salin

A general theory is presented for the photodetection statistics of coherent radiation that has been amplified by a disordered medium. The beating of the coherent radiation with the spontaneous emission increases the noise above the…

Quantum Physics · Physics 2007-05-23 M. Patra , C. W. J. Beenakker

Tidal currents are renewable and predictable energy sources that could prove fundamental to decrease dependency from fossil fuels. Tidal currents, however, are highly unsteady and non uniform, resulting in undesirable load fluctuations on…

We consider wave propagation problems in which there is a preferred direction of propagation. To account for propagation in preferred directions, the wave equation is decomposed into a set of coupled equations for waves that propagate in…

Geophysics · Physics 2020-06-09 Kees Wapenaar

We start from the remark that in wave turbulence theory, exemplified by the cubic twodimensional Schr{\"o}dinger equation (NLS) on the real plane, the regularity of the resonant manifold is linked with dispersive properties of the equation…

Analysis of PDEs · Mathematics 2023-07-06 Erwan Faou , Antoine Mouzard

The Darrieus vertical axis wind turbines (VAWTs) are one of the mainstream devices for wind energy utilization in the urban areas. The market's pursuit of high wind energy conversion efficiency promotes the research on improving the wind…

Fluid Dynamics · Physics 2023-02-21 Jie Su , Yu Tu , Limin Kuang , Rui Zhang , Yixiao Shao , Dai Zhou , Zhaolong Han , Kai Zhang

This article is concerned with the time evolution of the oblique laminar-turbulent bands of transitional plane Couette flow under the influence of turbulent noise. Our study is focused on the amplitude of modulation of turbulence. In order…

Fluid Dynamics · Physics 2015-11-24 Joran Rolland

We present a mathematical theory of time-harmonic wave propagation and reflection in a two-dimensional random acoustic waveguide with sound soft boundary and turning points. The boundary has small fluctuations on the scale of the…

Analysis of PDEs · Mathematics 2017-02-14 Liliana Borcea , Josselin Garnier , Derek Wood

In this paper, a semi-analytical model based on the Wiener-Hopf technique is developed to predict the turbulent boundary layer trailing edge noise from serrated edges, aiming to account for the correct three-dimensional noise source and…

Fluid Dynamics · Physics 2025-12-30 Sicheng Zhang , Benshuai Lyu

The theory of motion of edges of dispersive shock waves generated after wave breaking of simple waves is developed. It is shown that this motion obeys Hamiltonian mechanics complemented by a Hopf-like equation for evolution of the…

Pattern Formation and Solitons · Physics 2021-02-03 A. M. Kamchatnov

We present a method to adapt Greenberg's potential flow model for coupled pitching and surging flow such that it can be applied to predict the loads on a vertical-axis wind turbine blade. The model is extended to compute loads on a blade…

Fluid Dynamics · Physics 2022-02-22 David Bensason , Sébastien Le Fouest , Anna Young , Karen Mulleners

In the paper a new version of semi-phenomenological model is constructed, which allows to calculate the friction velocity u* via the spectrum of waves S and the wind at the standard horizon W. The model is based on the balance equation for…

Atmospheric and Oceanic Physics · Physics 2011-05-18 Vladislav Polnikov