Effect of flow pulsations on chaos in nanotubes using nonlocal strain gradient theory

Ghayesh, Mergen H.; Farajpour, Ali; Farokhi, Hamed

doi:10.1016/j.cnsns.2019.105090

Cited by 24 publications

(3 citation statements)

References 65 publications

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“…For instance, Ghayesh et al studied the effect of flow pulsations on chaos in nanotubes using nonlocal strain gradient theory. [ 29 ] Zhang et al detected individually the chaotic properties in a solid–liquid mixing system and investigated the effect of chaotic properties on two‐phase mixing systems. [ 30 ] Those aforementioned studies have employed diverse techniques for identifying chaos.…”

Section: Introductionmentioning

confidence: 99%

Dynamic chaos of imaging measurements for characterizing gas–liquid nonlinear flow behaviour in a metallurgical reactor stirred by top‐blown air

Yang,

Zhang,

Yang

et al. 2023

Can J Chem Eng

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A modern chaos detection strategy for imaging measurements is proposed in this work to quantify the thermal mixing state quality in a metallurgical reactor stirred by top‐blown air. Specifically, the improved C‐C algorithm is proposed to reconstruct the phase space of the nonlinear time series of the bubble characteristics under thermal conditions. Moreover, a chaos decision tree algorithm is introduced to extract the chaotic mixing characteristics of the thermal two‐phase mixing system for the first time. Experimental and calculated results show that all the possible mixing states of the mixing system are visualized by reconstructing the phase space with the help of the visualization technique of the thermal gas–liquid two‐phase flow. It is found that the attractor of the nonlinear time series of bubbles exhibited more serious variations while the chosen working condition was optimal. Furthermore, the obtained parameter represents the chaotic characteristics of the thermal gas–liquid two‐phase mixing system which has chaotic characteristics under various experimental conditions. Hence, the new strategy would be helpful and effective in beneficial exploration for understanding the nonlinear intensification mechanism of metallurgical thermal processes.

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Section: Introductionmentioning

confidence: 99%

Dynamic chaos of imaging measurements for characterizing gas–liquid nonlinear flow behaviour in a metallurgical reactor stirred by top‐blown air

Yang,

Zhang,

Yang

et al. 2023

Can J Chem Eng

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“…A nonlinear surfacestress-dependent nanoscale shell model was developed for free vibration analysis of the fluid-conveying nano-shell [20]. The chaotic vibrations mechanism of cantilevered microtubes conveying fluid was revealed using the Galerkin procedure [21,22]. The effect of transverse magnetic field on the vibration of cantilever micro and nanotubes conveying fluid was investigated by considering the small size effects [23].…”

Section: Introductionmentioning

confidence: 99%

Contact Dynamics and Stress Field of Fluid-Conveying GRC Nanotubes

Jin

Ren

2021

Preprint

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Fluid-conveying nanotubes play key roles in micro-nano electromechanical systems. The contact dynamic response and stress field of the fluid-conveying graphene reinforced composite (GRC) nanotube under lateral low-velocity impact are studied. The size-dependent models considering slip flow, nonlocal stress and strain gradient effect are established. The governing equations of flow-inducing post buckling and contact vibration are derived based on a refined beam theory, in which the post-buckling equilibrium provides the initial configuration for the impact vibration analysis. A computation mode of two-step perturbation-Galerkin truncation-Runge-Kutta method is developed to study the contact dynamic responses. Through the convergence analysis, the truncation terms required to ensure the accuracy are obtained. The contact force curves and the midspan displacement time history curves are acquired, and the dynamic snap-through instability behaviors of the nanotube in the flow-inducing post-buckling state are revealed. Also, the stress field in the impact process is obtained to provide theoretical results to guide the strength design. Numerical results reveal the dual influence law of nonlocal stress and strain gradient on the contact dynamic response and stress field and provide the flow velocity range sensitive to the nano effects.

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“…There are several studies on the strain gradient theory in nanostructures. Among these studies is the use of strain gradient in the investigating flow pulsations in nanotubes [26], vibration response of small scale beams [27,28], bending of nanoplates [29], chaotic behavior of nanoresonators [30], and instability analyses of functionally graded nanoplates and beams [31,32].…”

mentioning

confidence: 99%

Nonlinear vibrations of Timoshenko nanobeam using stress driven nonlocal theory

Haghani¹,

Jahangiri²,

Ghaderi³

2022

Phys. Scr.

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As properties of nonlinear systems can introduce particular responses not present in linear systems, results from linear models can be inaccurate or misleading. Therefore, studying nonlinear vibrations is of extreme importance in structural vibration analysis. Nonlinear vibrations of a Timoshenko nanobeam were analyzed for the first time using the stress driven nonlocal theory (SDM) and the strain gradient theory (SGT). Nonlinear equations of motion were solved for simply supported- simply supported, clamped-clamped and clamped- simply supported beams using the homotopy analysis method. The results indicated that as the dimensionless characteristic parameter increased, the nonlinear natural frequency increased accordingly. High agreement was observed between the results from a linear frequency of Timoshenko beam model based on the SGT and those from previous research.

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Effect of flow pulsations on chaos in nanotubes using nonlocal strain gradient theory

Cited by 24 publications

References 65 publications

Dynamic chaos of imaging measurements for characterizing gas–liquid nonlinear flow behaviour in a metallurgical reactor stirred by top‐blown air

Dynamic chaos of imaging measurements for characterizing gas–liquid nonlinear flow behaviour in a metallurgical reactor stirred by top‐blown air

Contact Dynamics and Stress Field of Fluid-Conveying GRC Nanotubes

Nonlinear vibrations of Timoshenko nanobeam using stress driven nonlocal theory

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