A straightforward determination of fluid viscosity and density using microcantilevers: From experimental data to analytical expressions

Youssry, Mohamed; Belmiloud, Naser; Caillard, Benjamin; Ayela, Cédric; Pellet, Claude; Dufour, Isabelle

doi:10.1016/j.sna.2011.02.025

Cited by 64 publications

(63 citation statements)

References 9 publications

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“…To demonstrate the potential advantages of the (in-plane) elongation mode in comparison with the (out-of-plane) transverse bending mode, the resonant characteristics of two cantilevers of comparable geometries in three different fluids are summarized in Table 1. The elongation-mode data corresponds to the PZT cantilever described in the previous paragraph, while the data for the transverse bending mode was obtained from measurements on a silicon cantilever of similar dimensions (6x0.6x0.11mm 3 ) [29]. Despite the fact that the measurements were made on cantilevers of different dimensions and material properties, the data of Table 1 clearly suggests that the detrimental effects of the liquid on the resonant characteristics (i.e., lowering Q and fr), which are quite prominent in the transverse (outof-plane) bending case, may be significantly reduced when the elongation mode is employed.…”

Section: Case Of Elongation Vibrationsmentioning

confidence: 99%

“…Different methods for fluid property determination have been developed using the transverse bending mode which, as noted earlier, is more influenced by the fluid properties than other modes [30]. The first of these permits the determination of both the mass density and viscosity of the fluid at the resonant frequency of the microcantilever in the fluid [29]; the second enables one to extract the same properties over a frequency range that includes the in-fluid resonant frequency [31]; two other methods are based on the same principle, but with the assumption that the fluid's mass density is known. These latter methods allow for the determination of the real and imaginary parts of the fluid's shear modulus, which characterize both the elasticity and viscosity of the fluid [32].…”

Section: Use Of Hydrodynamic Force Study For the Measurement Of Fluidmentioning

confidence: 99%

“…Due to the use of SOI wafers, the silicon thicknesses of all microcantilevers are the same, ℎ = 20µ . The microcantilevers were designed to be electromagnetically actuated, i.e., excited by a Lorentz force [29]. For this purpose, a conducting path was deposited on the top surface of the microcantilever and an external magnet was used.…”

Section: Use Of Hydrodynamic Force Study For the Measurement Of Fluidmentioning

confidence: 99%

See 2 more Smart Citations

Effect of hydrodynamic force on microcantilever vibrations: Applications to liquid-phase chemical sensing

Dufour

Lemaire

Caillard

et al. 2014

Sensors and Actuators B: Chemical

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Abstract:At the microscale, cantilever vibrations depend not only on the microstructure's properties and geometry but also on the properties of the surrounding medium. In fact, when a microcantilever vibrates in a fluid, the fluid offers resistance to the motion of the beam. The study of the influence of the hydrodynamic force on the microcantilever's vibrational spectrum can be used to either (1) optimize the use of microcantilevers for chemical detection in liquid media or (2) extract the mechanical properties of the fluid. The classical method for application (1) in gas is to operate the microcantilever in the dynamic transverse bending mode for chemical detection. However, the performance of microcantilevers excited in this standard out-of-plane dynamic mode drastically decreases in viscous liquid media. When immersed in liquids, in order to limit the decrease of both the resonant frequency and the quality factor, and improve sensitivity in sensing applications, alternative vibration modes that primarily shear the fluid (rather than involving motion normal to the fluid/beam interface) have been studied and tested: these include inplane vibration modes (lateral bending mode and elongation mode). For application (2), the classical method to measure the rheological properties of fluids is to use a rheometer. However, such systems require sampling (no insitu measurements) and a relatively large sample volume (a few milliliters). Moreover, the frequency range is limited to low frequencies (less than 200Hz). To overcome the limitations of this classical method, an alternative method based on the use of silicon microcantilevers is presented. The method, which is based on the use of analytical equations for the hydrodynamic force, permits the measurement of the complex shear modulus of viscoelastic fluids over a wide frequency range.

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Section: Case Of Elongation Vibrationsmentioning

confidence: 99%

Section: Use Of Hydrodynamic Force Study For the Measurement Of Fluidmentioning

confidence: 99%

Section: Use Of Hydrodynamic Force Study For the Measurement Of Fluidmentioning

confidence: 99%

See 1 more Smart Citation

Effect of hydrodynamic force on microcantilever vibrations: Applications to liquid-phase chemical sensing

Dufour

Lemaire

Caillard

et al. 2014

Sensors and Actuators B: Chemical

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“…The analytical expressions of viscosity and density that depends on Maali's parameters, the resonant frequency in the vacuum, the dimensions, the density of the cantilever,  and eigenfrequency are given as [51]: 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 2 2 2 1 2 2 4 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 2 2 1 1 2 2 1 2 1 1 2 2 2 2 4 2…”

Section: E Equations Governing Fluid-structure Interaction Of Microcmentioning

confidence: 99%

Microcantilever: An Efficient Tool for Biosensing Applications

Sharma¹,

Tripathi²

2017

IJISA

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Abstract-Most of the biosensing applications involving analysis and detection of a particular specimen demands fast, easy to use, less expensive, highly reliable and sensitive method for the recognition of biomolecules. The reason behind this increasing demand is that most of the available laboratory equipment require large space, are highly expensive and have other preconditions. Most of the viscometers available for measuring the rheological properties of blood require cleaning after each use which can be challenging due to the capillary geometry. The substitute to this is microcantilever that has emerged as an ideal candidate for biosensing applications. Microcantilever is capable of being used in air, vacuum or liquid medium. This paper consists of seven sections in which working principle of a cantilever, different modes of vibration, their comparative analysis, analytical equations of hydrodynamic equations exerted by the fluid on the cantilever and their impact on the resonant frequency and quality factor, applications of microcantilever in liquid medium specifically in biomedical field are discussed.

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“…These 46 techniques are most effective for 'soft' systems with elastic moduli < 100 Pa [82]. There are parallel efforts in microrheology measurements using microcantilevers [45,[86][87][88], following on recent success in understanding the dynamics of cantilevers in fluid [89][90][91][92][93][94][95][96][97][98]. A wide range of frequencies and viscous and elastic moduli can be explored by AFM microcantilevers.…”

Section: Existing Techniques Of Rheometrymentioning

confidence: 99%

Correlation Force Spectroscopy for Single Molecule Measurements

Radiom

2015

Springer Theses

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This thesis addresses development of a new force spectroscopy tool, correlation force spectroscopy (CFS), for the measurement of the mechanical properties of very small volumes of material (molecular to µm 3 ) at kHz-MHz time-scales. CFS is based on atomic force microscopy (AFM) and the principles of CFS resemble those of dual-trap optical tweezers. CFS consists of was validated by comparison between experimental data and finite element modeling of the deterministic vibrations of the cantilevers using the known viscosity and density of fluids. Work in this thesis shows that the data can also be accurately fitted using a simple harmonic oscillator model, which can be used for rapid rheometric measurements, after calibration. The mechanical properties of biomolecules such as dextran and single stranded DNA (ssDNA) are also described. Working with this prominent scientist and researcher, and learning from him, were not only highlights of an academic life, but advent of a new lifestyle. This is due to his special character and charismatic behavior. His insights, ideas, perseverance and encouragements were great source of success in this project.

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A straightforward determination of fluid viscosity and density using microcantilevers: From experimental data to analytical expressions

Cited by 64 publications

References 9 publications

Effect of hydrodynamic force on microcantilever vibrations: Applications to liquid-phase chemical sensing

Effect of hydrodynamic force on microcantilever vibrations: Applications to liquid-phase chemical sensing

Microcantilever: An Efficient Tool for Biosensing Applications

Correlation Force Spectroscopy for Single Molecule Measurements

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