Wave dispersion analysis of magnetic-electrically affected fluid-conveying nanotubes in thermal environment

Dehghan, M.; Ebrahimi, Farzad; Vinyas, M.

doi:10.1177/0954406219869752

Cited by 8 publications

(4 citation statements)

References 29 publications

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“…x 2 − A 2 nw e i n t = 0 17, the wave number of rotating graphene tubule with nonlocal effect exposed to thermo magnetic response is procured as follows (17) 1 x = −1.6 × 10 −6 K −1 . Dispersion curves are drawn for rotating graphene tubule with magnetic and thermal effect for = 0 at different values of non-dimensional rotational speed and are shown in Fig.…”

Section: Solution Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Thermo magnetic response of nonlocal propagation of waves in rotating graphene tubules

Amuthalakshmi¹,

Prabha²

2020

SN Appl. Sci.

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Thermo magnetic response of propagation of waves in rotating graphene tubules is studied with the aid of nonlocal Euler-Bernoulli beam theory within the framework of spectral analysis. The governing dynamic equation of nonlocal rotating graphene tubules under thermo magnetic response is formulated with the help of equation of thermal force, centrifugal force and electromagnetic force. The dispersion equation of nonlocal rotating graphene tubules under thermo magnetic field is derived. The numerical value of non-dimensional wave number is computed and is represented in terms of scattered curves. The scattered curves of graphene tubules at different rotating speed, nonlocal parameter, temperature and magnetic field strength are also drawn. The results give useful information in the study and design of rotary nano-devices such as nano motors, nanoturbines, nano robots etc. The dispersion curves of non-rotating graphene tubules in the absence of thermal and magnetic field are drawn and are compared with the existing literature.

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Section: Solution Of the Problemmentioning

confidence: 99%

“…She et al [16] proposed the propagation of waves of porous nanotubes formulated from nonlocal strain theory. Dehghan et al [17] analyzed the conception of waves of fluid carrying nanotubules exposed to thermo magnetic force.…”

Section: Introductionmentioning

confidence: 99%

Thermo magnetic response of nonlocal propagation of waves in rotating graphene tubules

Amuthalakshmi¹,

Prabha²

2020

SN Appl. Sci.

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“…As another example of NSGT application, Malikan et al (2018) inspected the effect of a thermal environment on the forced vibration of SWCNTs placed on a viscoelastic bed. Also, Dehghan et al (2019) used NSGT to study the small-size effects on the wave propagation of fluid-conveying magneto-electro-elastic nanotubes. Recently, Mohammadian et al (2019) used NSGT in conjunction with Euler-Bernoulli beam model to investigate the natural frequencies of heterojunction CNTs.…”

Section: Introductionmentioning

confidence: 99%

Hygro-thermo-mechanical vibration of two vertically aligned single-walled boron nitride nanotubes conveying fluid

Zarabimanesh

Saffari²,

Saffari³

et al. 2021

Journal of Vibration and Control

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The nonlocal strain gradient theory, when combined with the first-order shear deformation theory, provides many capabilities in size-dependent structures. The aim of the present study is evaluation of the free vibration behavior of two vertically aligned fluid-conveying single-walled boron nitride nanotubes in hygrothermal environments considering slip boundary condition based on Knudsen number. These two adjacent nanotubes are coupled in the context of linear deformation through van der Waals interaction according to Lennard–Jones potential function. Actually, the contribution of the present work, compared with those previously reported, is investigating the simultaneous effect of hygrothermal loading and slip boundary condition on the dynamic behavior of two vertically aligned fluid-conveying single-walled boron nitride nanotubes. As an additional step to achieve a more accurate model of low-scale structures, both hardening and softening effects of materials are taken as important variables in the nonlocal strain gradient approach. To derive the motion equations and associated boundary conditions, Hamilton’s variational principle is used. The equations are then solved with the aid of differential quadrature method. Numerical studies are also performed to depict the effects of a number of parameters such as boundary conditions, size scale, aspect ratio, inter-tube distance, and temperature alteration on the variations of dimensionless eigenfrequency and critical flow velocity.

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“…Solving analytically the governing equations and obtaining the phase velocity and wave frequency, the response of the propagating wave against the nonlocal effect, Knudsen number and fluid effect was investigated. Additionally, in other work, Dehghan et al 20 presented a work to analyze the wave dispersion properties of MEE nanotubes with internal flow applied to thermal field based on NET. They employed Love's shell theory to formulate the system.…”

Section: Introductionmentioning

confidence: 99%

On wave dispersion characteristics of fluid-conveying smart nanotubes considering surface elasticity and flexoelectricity approach

Ardalani

Amiri

Talebitooti

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Wave dispersion response of a fluid-carrying piezoelectric nanotube is studied in this paper utilizing an improved model for piezoelectric materials which capture a new effect known as flexoelectricity in conjunction with the surface elasticity. For this aim, a higher order shear deformation theory is employed to model the problem. Furthermore, strain gradient effect as well as nonlocal effect is taken into consideration throughout using the nonlocal strain gradient theory (NSGT). Surface elasticity is also considered to make an accurate size-dependent formulation. Additionally, a non-compressible and non-viscous fluid is taken into consideration to model the flow effect. The wave propagation solution is then implemented to the governing equations obtained by Hamiltonian’s approach. The phase velocity and group velocity of the nanotube is determined for three wave modes (i.e. shear, longitudinal and bending waves) to study the influence of various involved factors including strain gradient, nonlocality, flexoelectricity and surface elasticity and flow velocity on the wave dispersion curves. Results reveal a considerable effect of the flexoelectric phenomenon on the wave propagation properties especially at a specific domain of the wave number. The size-dependency of this effect is disclosed. Overall, it is found that the flexoelectricity exhibits a substantial influence on wave dispersion properties of the smart fluid-conveying systems. Hence, such size-dependent effect should be considered to achieve exact and accurate knowledge on wave propagation characteristics of the system.

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Wave dispersion analysis of magnetic-electrically affected fluid-conveying nanotubes in thermal environment

Cited by 8 publications

References 29 publications

Thermo magnetic response of nonlocal propagation of waves in rotating graphene tubules

Thermo magnetic response of nonlocal propagation of waves in rotating graphene tubules

Hygro-thermo-mechanical vibration of two vertically aligned single-walled boron nitride nanotubes conveying fluid

On wave dispersion characteristics of fluid-conveying smart nanotubes considering surface elasticity and flexoelectricity approach

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