Fluid–structure model for disks vibrating at ultra-high frequency in a compressible viscous fluid

Neshasteh, H.; Ravaro, M.; Favero, I.

doi:10.1063/5.0139251

Cited by 3 publications

(2 citation statements)

References 31 publications

(46 reference statements)

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“…importance to avoid light scattering and absorption loss in the liquid and to keep the optical Q factor high. The pioneering studies on cavity optomechanical sensing in liquids used a high-refractive-index microdisk with a liquid droplet [9]- [11] or silica microcapillary with fluid flowing inside the capillary [12]- [14]. Although these methods can be used to sense globally distributed targets inside a liquid, such as macroscopic viscosity or tiny dispersed particles, their fixedby-design device architectures are not suitable for sensing spatially local information about the liquid.…”

Section: Introductionmentioning

confidence: 99%

Free-access optomechanical liquid probes using a twin-microbottle resonator

2022

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Cavity optomechanics provides high-performance sensor technology, and the scheme is also applicable to liquid samples for biological and rheological applications. However, previously reported methods using fluidic capillary channels and liquid droplets are based on fixed-by-design structures and therefore do not allow an active free access to the samples. Here, we demonstrate an alternate technique using a probe-based architecture with a twin-microbottle resonator. The probe consists of two microbottle optomechanical resonators, where one bottle (for detection) is immersed in liquid and the other bottle (for readout) is placed in air, which retains excellent detection performance through the high optical Q (~10 7 ) of the readout bottle. The scheme allows the detection of thermomechanical motion of the detection bottle as well as optomechanical drive and frequency tracking with a phase-locked loop. This technique could lead to in situ metrology at the target location in arbitrary media and could be extended to ultrasensitive biochips and rheometers.

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Section: Introductionmentioning

confidence: 99%

Free-access optomechanical liquid probes using a twin-microbottle resonator

2022

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“…This work is devoted to studying the dynamics of a drop placed on a vibrating solid substrate, in the case in which the vibrational frequency is so high that drop compressibility should be taken into account. The influence of the compressibility of the drop on its averaged shape was not considered before, although the fluid compressibility can be important for various applications [26]. The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

The Shape of a Compressible Drop on a Vibrating Solid Plate

Ivantsov,

Lyubimova,

Khilko

et al. 2023

Mathematics

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The influence of high-frequency vibrations on the shape of a compressible drop placed on an oscillating solid substrate is studied in this paper. Due to the significant difference in characteristic temporal scales, the average and pulsating motions of the drop can be considered separately. For nearly hemispherical drop, the solution to the problem of pulsating motion is found in the form of series in Legendre polynomials. Frequencies of natural sound oscillations of hemispherical axisymmetric drop are obtained. Resonances of the acoustic mode of drop oscillations are found. The problem of forced oscillations of hemispherical drop in the limit of weakly compressible liquid is considered. It is found that drop oscillation amplitude grows with vibration intensity according to quadratic law, which is consistent with the solution of the pulsation problem for finite compressibility assumption. A variational principle for calculation of average drop shape is formulated based on minimization of energy functional for the case, so the compressibility of the liquid should be taken into account. It is shown that the functional (the sum of the kinetic and potential energies of the pulsating flow, the kinetic energy of the averaged flow, and the surface tension energy of the drop) decreases and reaches a minimum value at quasi-equilibrium state, in which the average shape of the drop becomes static. The influence of vibrations on the drop shape is studied for small values of the vibrational parameter. The surface of the drop in the absence of vibrations is assumed to be hemispherical. Calculations showed that under vibrations, drop height decreases, while the area of the base increases.

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Hydrodynamic forces in higher modes of a thin cantilever beam resonator

Devsoth,

Pandey

2024

Physics of Fluids

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The hydrodynamic force in a thin uniform beam cantilever is essential quantity for designing a resonator. We obtained the hydrodynamic drag forces in a uniform cantilever vibrating at the first four transverse modes using a semi-analytical boundary element method (BEM) and finite element method (FEM) in ANSYS. The present three-dimensional (3D) BEM inertial and damping forces are compared with FEM over a frequency range with less than 9.5% deviation until frequency parameter of 100; thereafter, it deviates numerically due to neglecting the non-linear convective forces. Considering the hydrodynamic damping force, the quality factor is estimated for the first four transverse modes of a uniform cantilever beam. As a result, the present 3D BEM model behaves well at the first bending mode compared to FEM. We also study the effect of the aspect ratio (ratio of width to length) of the beam for all four modes. However, the first mode quality factor sufficiently correlates with the numerical value for all aspect ratios. For uniform beams operating with higher modes, the influence of nonlinear and resonance frequency by the numerical model is more pronounced at smaller lengths. Hence, the 3D BEM approach can estimate the hydrodynamic forces on cantilever-based resonators, for example, atomic force microscopy and biosensors.

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Fluid–structure model for disks vibrating at ultra-high frequency in a compressible viscous fluid

Cited by 3 publications

References 31 publications

Free-access optomechanical liquid probes using a twin-microbottle resonator

Free-access optomechanical liquid probes using a twin-microbottle resonator

The Shape of a Compressible Drop on a Vibrating Solid Plate

Hydrodynamic forces in higher modes of a thin cantilever beam resonator

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