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The optical theorem is a powerful tool of scattering theory that directly relates the extinction cross section of a scatterer to its forward scattering amplitude. While widely used in electromagnetism and optics, its application in…

The scaling of Reynolds stresses in turbulent wall-bounded flows is the subject of a long running debate. In the near-wall ``inner'' region, a sizeable group, inspired by the ``attached eddy model'', has advocated the unlimited growth of…

Fluid Dynamics · Physics 2023-10-04 Peter A. Monkewitz

This paper concerns the reliability of a pair of coupled oscillators in response to fluctuating inputs. Reliability means that an input elicits essentially identical responses upon repeated presentations regardless of the network's initial…

Chaotic Dynamics · Physics 2007-08-23 Kevin K. Lin , Eric Shea-Brown , Lai-Sang Young

The points where diffraction orders emerge or vanish in the propagating spectrum of periodic non-Hermitian systems are referred to as scattering thresholds. Close to these branch points, resonances from different Riemann sheets can…

We show that grains streaming through a fluid are generically unstable if their velocity, projected along some direction, matches the phase velocity of a fluid wave (linear oscillation). This can occur whenever grains stream faster than any…

Earth and Planetary Astrophysics · Physics 2018-04-11 Jonathan Squire , Philip F. Hopkins

Periodic forcing of an oscillatory system produces frequency locking bands within which the system frequency is rationally related to the forcing frequency. We study extended oscillatory systems that respond to uniform periodic forcing at…

patt-sol · Physics 2009-10-31 Christian Elphick , Aric Hagberg , Ehud Meron

This paper probes into the flow induced by a rotating cone-cylinder model in an enclosure. Two component particle image velocimetry measurements in the symmetry plane reveal that the rotating cone-cylinder causes an outward jet on the…

Fluid Dynamics · Physics 2025-05-30 Rajkamal Sah , Sumit Sunil Tambe , Gopalan Jagadeesh

Coherent, self-sustained oscillations of the flow over aircraft wings can lead to unsteady loads that detrimentally affect aircraft safety and stability, thus limiting the flight envelope. Two such types of oscillations are the…

Fluid Dynamics · Physics 2025-09-26 Vishw Patel , Aman Jain , Jewel Rupini , Antony Raja Arulsekar , Pradeep Moise

We consider stability of steady convective flows in a horizontal layer with stress-free boundaries, heated below and rotating about the vertical axis, in the Boussinesq approximation (the Rayleigh-Benard convection). The flows under…

Fluid Dynamics · Physics 2015-06-26 O. M. Podvigina

Reynolds-number effects in the adverse-pressure-gradient (APG) turbulent boundary layer (TBL) developing on the suction side of a NACA4412 wing section are assessed in the present work. To this end, we analyze four cases at Reynolds numbers…

Fluid Dynamics · Physics 2019-04-17 R. Vinuesa , P. S. Negi , M. Atzori , A. Hanifi , D. S. Henningson , P. Schlatter

Relations between scattering and production amplitudes are studied in a microscopic multichannel model for meson-meson scattering, with coupling to confined quark-antiquark channels. Overlapping resonances and a proper threshold behaviour…

High Energy Physics - Phenomenology · Physics 2011-07-19 Eef van Beveren , George Rupp

In 1973, J. Moser proposed that his Twist Theorem could be used to show that orbits of the outer billiards map on a sufficiently smooth closed curve were always bounded. Five years later Moser asked the same question for a convex polygon.…

Dynamical Systems · Mathematics 2014-10-09 G. H. Hughes

The present study investigates the behaviour of the far-field sound radiated by low Mach number tip clearance flow induced by placing a stationary cambered airfoil adjacent to a stationary wall. The tip clearance heights ranged from 14% to…

Fluid Dynamics · Physics 2024-10-03 Manuj Awasthi , Danielle Moreau , Paul Croaker , Paul Dylejko

The near-threshold clustering phenomenon is well understood by the low-energy universality, for shallow bound states below the threshold. Nevertheless, the characteristics of resonances slightly above the threshold still lack thorough…

High Energy Physics - Phenomenology · Physics 2024-08-02 Tomona Kinugawa , Tetsuo Hyodo

The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency,…

A scaling relation for the high frequency regime of streamwise energy spectra (in frequency domain) in the near-wall region is proposed. This is based on the dimensional analysis approach of \cite{perry1977} and \cite{Zamalloa2014} together…

Fluid Dynamics · Physics 2018-11-07 B. Ganapathisubramani

We consider the escape of particles located in the middle well of a symmetric triple well potential driven sinusoidally by two forces such that the potential wells roll as in stochastic resonance and the height of the potential barrier…

Chemical Physics · Physics 2015-06-05 Pulak Kumar Ghosh , Bidhan Chandra Bag , Deb Shankar Ray

We study the overdamped version of two coupled anharmonic oscillators under the influence of both low- and high-frequency forces respectively and a Gaussian noise term added to one of the two state variables of the system. The dynamics of…

Chaotic Dynamics · Physics 2009-11-11 V. M. Gandhimathi , S. Rajasekar , J. Kurths

A flexible foil undergoing pitching oscillations is studied experimentally in a wind tunnel with different imposed free stream velocities. The chord-based Reynolds number is in the range 1600--4000, such that the dynamics of the system is…

Fluid Dynamics · Physics 2022-06-08 Juan D'Adamo , Manuel Collaud , Roberto Sosa , Ramiro Godoy-Diana

On the linear level elliptic equilibria of Hamiltonian systems are mere superpositions of harmonic oscillators. Non-linear terms can produce instability, if the ratio of frequencies is rational and the Hamiltonian is indefinite. In this…

Exactly Solvable and Integrable Systems · Physics 2011-11-10 R. H. Cushman , Holger R. Dullin , Heinz Hanßmann , Sven Schmidt