Pull-in instability study of carbon nanotube tweezers under the influence of van der Waals forces

Wang, Genwei; Zhang, Yin; Zhao, Ya‐Pu; Yang, Guo‐Min

doi:10.1088/0960-1317/14/8/001

Cited by 75 publications

(41 citation statements)

References 26 publications

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“…Other parameters, such as the degree of roundness of the corners of rectangular channels [17,19], the layered structure of the channel walls [22,23], and the time dependency of the dynamic contact angle [24] that influence the filling rate are not included in Eq. (2).…”

Section: Theorymentioning

confidence: 99%

“…The dynamic contact angle between a fluid and a surface is dependent on the van der Waals forces. Hence, both the silicon dioxide, which is in a direct contact with the liquid, and the underlying silicon nitride influence θ d [22,23]. However, it would be very surprising if the layered silicon oxide/nitride surface had a profound effect for the mixture compared with pure liquids.…”

Section: Filling Kinetics Of Isopropanol Ethanol and 40% Ethanol Inmentioning

confidence: 99%

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Filling kinetics of liquids in nanochannels as narrow as 27 nm by capillary force

Han

Mondin

Hegelbach

et al. 2006

Journal of Colloid and Interface Science

108

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We report the filling kinetics of different liquids in nanofabricated capillaries with rectangular cross-section by capillary force. Three sets of channels with different geometry were employed for the experiments. The smallest dimension of the channel cross-section was respectively 27, 50, and 73 nm. Ethanol, isopropanol, water and binary mixtures of ethanol and water spontaneously filled nanochannels with inner walls exposing silanol groups. For all the liquids the position of the moving liquid meniscus was observed to be proportional to the square root of time, which is in accordance with the classical Washburn kinetics. The velocity of the meniscus decreased both with the dimension of the channel and the ratio between the surface tension and the viscosity. In the case of water, air-bubbles were spontaneously trapped as channels were filled. For a binary mixture of 40% ethanol and water, no trapping of air was observed anymore. The filling rate was higher than expected, which also corresponds to the dynamic contact angle for the mixture being lower than that of pure ethanol. Nanochannels and porous materials share many physicochemical properties, e.g., the comparable pores size and extremely high surface to volume ratio. These similarities suggest that our nanochannels could be used as an idealized model to study mass transport mechanisms in systems where surface phenomena dominate.

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Section: Theorymentioning

confidence: 99%

Section: Filling Kinetics Of Isopropanol Ethanol and 40% Ethanol Inmentioning

confidence: 99%

Filling kinetics of liquids in nanochannels as narrow as 27 nm by capillary force

Han

Mondin

Hegelbach

et al. 2006

Journal of Colloid and Interface Science

108

View full text Add to dashboard Cite

show abstract

“…Nanotweezers are basic manipulators, which are composed of two parallel arms with a distance in between [1][2][3][4][5]. By imposing a DC voltage di erential between the arms, they move closer together; hence, the tweezers can manipulate ultra-small particles.…”

Section: Introductionmentioning

confidence: 99%

“…However, when the retardation is not signi cant, i.e. the separation is less than several ten nanometers, the quantum interactions should be modeled as vdW attraction [2,7,8].…”

Section: Introductionmentioning

confidence: 99%

A modified model for stability analysis of narrow-width NEMS tweezers: Corrections due to surface layer, scale dependency and force distributions

2017

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Abstract. Stability analysis and modeling the electromechanical response of nanotweezers are crucial for reliable designing and manufacturing of these nano-devices. Herein, a modi ed model is developed for static and dynamic stability analyses of nanotweezers with low width to thickness ration (narrow width). The surface elasticity was employed in conjunction with the strain gradient theory to consider the coupled e ects of scale dependency, i.e. size-dependency of material characteristics and surface layer. The nonlinear governing equation was solved using analytical Rayleigh-Ritz Method (RRM). The in uence of various parameters is addressed including scale dependency, surface stresses, damping parameter, and dispersion forces on the stability of the tweezers. Furthermore, the maximum length and the minimum gap of the tweezers were computed, which are important design parameters.

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“…Their results showed that the predicted critical pressure and the predicted increment of critical axial stress due to an internal radial pressure using continuum mechanics model were in reasonably good agreement with the experiment results [13] and the results for filled CNTs by molecular dynamics simulations [14], respectively. Wang et al [15] studied the effect of van der Waals forces on the pull-in stability of CNTs using the cantilever beam with large deformation model. Wang et al [16] studied the size dependence of thin-shell model for CNTs and showed that the size dependence is insignificant for SWNTs of diameters larger than 1.5 nm.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric compressive buckling of multi-walled carbon nanotubes under different boundary conditions

2011

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The paper studies the axisymmetric compressive buckling behavior of multi-walled carbon nanotubes (MWNTs) under different boundary conditions based on continuum mechanics model. A buckling condition is derived for determining the critical buckling load and associated buckling mode of MWNTs, and numerical results are worked out for MWNTs with different aspect ratios under fixed and simply supported boundary conditions. It is shown that the critical buckling load of MWNTs is insensitive to boundary conditions, except for nanotubes with smaller radii and very small aspect ratio. The associated buckling modes for different layers of MWNTs are in-phase, and the buckling displacement ratios for different layers are independent of the boundary conditions and the length of MWNTs. Moreover, for simply supported boundary conditions, the critical buckling load is compared with the corresponding one for axial compressive buckling, which indicates that the critical buckling load for axial compressive buckling can be well approximated by the corresponding one for axisymmetric compressive buckling. In particular, for axial compressive buckling of double-walled carbon nanotubes, an analytical expression is given for approximating the critical buckling

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Pull-in instability study of carbon nanotube tweezers under the influence of van der Waals forces

Cited by 75 publications

References 26 publications

Filling kinetics of liquids in nanochannels as narrow as 27 nm by capillary force

Filling kinetics of liquids in nanochannels as narrow as 27 nm by capillary force

A modified model for stability analysis of narrow-width NEMS tweezers: Corrections due to surface layer, scale dependency and force distributions

Axisymmetric compressive buckling of multi-walled carbon nanotubes under different boundary conditions

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