Rayleigh-Taylor instability in thin liquid films subjected to harmonic vibration

E Sterman-Cohen, M Bestehorn, A Oron - Physics of Fluids, 2017 - pubs.aip.org
Rayleigh-Taylor configuration subjected to harmonic forcing in either vertical or horizontal
direction. We demonstrate that substrate vibration … a domain in the vibration parameters’ space …

Dynamics of nonisothermal two-thin-fluid-layer systems subjected to harmonic tangential forcing under RayleighTaylor instability conditions

E Sterman-Cohen, A Oron - Physics of Fluids, 2020 - pubs.aip.org
RayleighTaylor instability (RTI) with the Marangoni effect that either enhances the RTI or
opposes it and to the tangential harmonic vibration … either a static or vibrating substrate. Among …

Control of Rayleigh-Taylor instability by vertical vibration in large aspect ratio containers

V Lapuerta, FJ Mancebo, JM Vega - Physical Review E, 2001 - APS
… where cc denotes the complex conjugate and hoh stands for higher order harmonics, depending
… 2.1– 2.5, anticipating that in the absence of vibration the dispersion relation of the long-…

Vibration effect on RayleighTaylor instability of sedimenting suspension

S Zhu, J Tao - Physics of Fluids, 2024 - pubs.aip.org
In this paper, the effect of vertical vibration on the RayleighTaylor instability at the lower
interface of a sedimenting suspension layer sandwiched between viscous fluids is studied …

Effects of the Rayleigh Secular Function on Time-Harmonic Asymptotic Solutions Due to Horizontal Vibration Sources

B Jin, Y Gao, Z Jin - Journal of Theoretical and Computational …, 2022 - World Scientific
… the Rayleigh poles, resulting in a mismatch between the asymptotic time-harmonic solution
… for the time-harmonic solution of the surface horizontal vibration source is derived using the …

Axial vibration analysis of a Rayleigh nanorod with deformable boundaries

MÖ Yayli - Microsystem Technologies, 2020 - Springer
… In this study, the free axial vibration of Rayleigh nanorods with axial … A Fourier sine series is
used to work Stokes’ transformation for the Rayleigh nanorods … 4 Harmonic vibration analysis …

The extended Rayleigh-Ritz method for an analysis of nonlinear vibrations

J Wang - Mechanics of Advanced Materials and Structures, 2022 - Taylor & Francis
Rayleigh-Ritz method by integrating the energy functional over the time of one period of
vibration to eliminate the harmonics … This is the extension of Rayleigh-Ritz method of the energy …

Rayleigh-number dependence of the critical vibration frequency in vibrating thermal turbulence

ZL Huang, XL Guo, JZ Wu, BF Wang, KL Chong… - Physical Review …, 2023 - APS
Rayleigh–Bénard (RB) convection over a wide range of Rayleigh number (Ra) and dimensionless
vibration … an external harmonic vibration A cos( t)evib to the system, where A is the …

IX. Some general theorems concerning forced vibrations and resonance

L Rayleigh - The London, Edinburgh, and Dublin Philosophical …, 1902 - Taylor & Francis
… one of the natural frequencies of vibration. In such a case the … order of the spherical harmonic
component of the incident … waves of sound and a vibrating sphere on which they impinge." …

VII. On the crispations of fluid resting upon a vibrating support

L Rayleigh - The London, Edinburgh, and Dublin Philosophical …, 1883 - Taylor & Francis
… Over those parts of the plate which vibrate sensibly … vibration. The same crispations are
observed on the surface of liquid in a large wine-glass or finger-glass which is caused to vibrate