High-frequency viscoelastic measurements of fluids based on microcantilever sensing: New modeling and experimental issues

Lemaire, Etienne; Caillard, Benjamin; Youssry, Mohamed; Dufour, Isabelle

doi:10.1016/j.sna.2013.07.022

Cited by 9 publications

(9 citation statements)

References 24 publications

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“…9a, Table 1 (D)). However, the resulting accuracy on the rheological properties was limited and improvements to both the experimental setup and modelling approaches are still required (Lemaire et al 2013). Similar to torsional resonators, the quality factor of the oscillation in the fluid must be sufficiently high for accurate detection of the frequency response.…”

Section: Cantilevers and Resonating Viscometersmentioning

confidence: 99%

Bulk rheometry at high frequencies: a review of experimental approaches

et al. 2019

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High-frequency rheology is a form of mechanical spectroscopy which provides access to fast dynamics in soft materials and hence can give valuable information about the local scale microstructure. It is particularly useful for systems where timetemperature superposition cannot be used, when there is a need to extend the frequency range beyond what is possible with conventional rotational devices. This review gives an overview of different approaches to high-frequency bulk rheometry, i.e. mechanical rheometers that can operate at acoustic (20 Hz-20 kHz) or ultrasound (> 20 kHz) frequencies. As with all rheometers, precise control and know-how of the kinematic conditions are of prime importance. The inherent effects of shear wave propagation that occur in oscillatory measurements will hence be addressed first, identifying the gap and surface loading limits. Different high-frequency techniques are then classified based on their mode of operation. They are reviewed critically, contrasting ease of operation with the dynamic frequency range obtained. A comparative overview of the different types of techniques in terms of their operating window aims to provide a practical guide for selecting the right approach for a given problem. The review ends with a more forward looking discussion of selected material classes for which the use of high-frequency rheometry has proven particularly valuable or holds promise for bringing physical insights.

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Section: Cantilevers and Resonating Viscometersmentioning

confidence: 99%

Bulk rheometry at high frequencies: a review of experimental approaches

et al. 2019

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“…The added mass and damping terms,

and

, of a viscoelastic fluid were first derived in [ 16 , 17 , 18 ] and are given by

where

and

, and

and

are the elastic and viscous modulus of the viscoelastic fluid, respectively [ 31 ]. These expressions are derived in detail in Part I.2 of the Supplementary Materials .…”

Section: Methodsmentioning

confidence: 99%

“…More recently, the analytical expressions of the hydrodynamic force were extended to include the properties of a viscoelastic fluid. The amplitude and phase responses of a cantilever immersed in a viscoelastic fluid can then be used to extract its elastic and viscous modulus, in a broad range of frequencies [ 16 , 17 , 18 ]. These methods are relatively easy to implement, require very short computational time and allow choosing the range of frequencies to probe by using different geometries or modes of the cantilever [ 19 ].…”

Section: Introductionmentioning

confidence: 99%

Photothermal Self-Excitation of a Phase-Controlled Microcantilever for Viscosity or Viscoelasticity Sensing

Mouro

Paoletti

Sartore

et al. 2022

Sensors

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This work presents a feedback closed-loop platform to be used for viscosity or viscoelasticity sensing of Newtonian or non-Newtonian fluids. The system consists of a photothermally excited microcantilever working in a digital Phase-Locked Loop, in which the phase between the excitation signal to the cantilever and the reference demodulating signals is chosen and imposed in the loop. General analytical models to describe the frequency and amplitude of oscillation of the cantilever immersed in viscous and viscoelastic fluids are derived and validated against experiments. In particular, the sensitivity of the sensor to variations of viscosity of Newtonian fluids, or to variations of elastic/viscous modulus of non-Newtonian fluids, are studied. Interestingly, it is demonstrated the possibility of controlling the sensitivity of the system to variations of these parameters by choosing the appropriate imposed phase in the loop. A working point with maximum sensitivity can be used for real-time detection of small changes of rheological parameters with low-noise and fast-transient response. Conversely, a working point with zero sensitivity to variations of rheological parameters can be potentially used to decouple the effect of simultaneous external factors acting on the resonator.

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“…[10][11][12][13][14][15][16][17] As the critical issues of mechanical performance of microcantilevers, Young's modulus [18][19][20][21][22][23] and resonant frequency [24][25][26][27][28][29][30][31] have been studied by various characterizations. In this research, atomic force microscopy (AFM) measurement is conducted to characterize resonant frequency of multi-layer microcantilevers, and a theoretical model is proposed and discussed including the impact of coating on both Young's modulus and resonant frequency.…”

confidence: 99%

Young’s modulus of multi-layer microcantilevers

Deng

et al. 2017

AIP Advances

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A theoretical model for calculating the Young’s modulus of multi-layer microcantilevers with a coating is proposed, and validated by a three-dimensional (3D) finite element (FE) model using ANSYS parametric design language (APDL) and atomic force microscopy (AFM) characterization. Compared with typical theoretical models (Rayleigh-Ritz model, Euler-Bernoulli (E-B) beam model and spring mass model), the proposed theoretical model can obtain Young’s modulus of multi-layer microcantilevers more precisely. Also, the influences of coating’s geometric dimensions on Young’s modulus and resonant frequency of microcantilevers are discussed. The thickness of coating has a great influence on Young’s modulus and resonant frequency of multi-layer microcantilevers, and the coating should be considered to calculate Young’s modulus more precisely, especially when fairly thicker coating is employed.

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High-frequency viscoelastic measurements of fluids based on microcantilever sensing: New modeling and experimental issues

Cited by 9 publications

References 24 publications

Bulk rheometry at high frequencies: a review of experimental approaches

Bulk rheometry at high frequencies: a review of experimental approaches

Photothermal Self-Excitation of a Phase-Controlled Microcantilever for Viscosity or Viscoelasticity Sensing

Young’s modulus of multi-layer microcantilevers

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