Effects of nonlocal elasticity and Knudsen number on fluid–structure interaction in carbon nanotube conveying fluid

Longitudinal magnetic field effect on wave propagation of fluid-conveyed SWCNT using Knudsen number and surface considerations

“…Mirramezani and Mirdamadi [25] presented effects of nonlocal elasticity and Knudsen number on fluid-structure interaction in carbon nanotube conveying fluid. In this paper, Euler-Bernoulli plug flow theory was used for modelling fluid-structure interaction.…”

Axisymmetric Wave Propagation Behavior in Fluid-Conveying Carbon Nanotubes Based on Nonlocal Fluid Dynamics and Nonlocal Strain Gradient Theory

“…Theoretical analysis and experimental research are two general approaches for studying the dynamic characteristics of fluid-conveying CNTs. However, dynamic experimentation at the nanoscale is quite difficult to execute and control [2]; many theoretical and numerical methods have been employed, including molecular dynamics simulations (MD) [4,5], classical elastic constitutive models [6], and smallscale elastic models such as the coupled stress model, nonlocal elastic model and elastic strain gradient model [7][8][9][10][11][12][13][14][15][16]. MD is the most reasonable approach because it calculates the interaction between all of the atoms in the system, but the application of MD is limited to some complex structures, such as fluid-conveying systems.…”

“…Since nonlocal constitutive equation is simple for calculation, many nonlocal continuum models have been established to study the dynamic properties of CNTs [8][9][10][11][12][13][14][15][16]. However, the nonlocal constitutive equation can only predict the scale effects of solids, when fluid flow inside CNT must be modeled by other theories, such as the slip boundary theory [14][15][16]. Thus, some unsatisfactory results are obtained, because slip boundary condition is inappropriate for liquids.…”

Study on the small-scale effect on wave propagation characteristics of fluid-filled carbon nanotubes based on nonlocal fluid theory

“…13 Furthermore, the numerical results of scale effects induced by fluid flow recently simulated by a model based on slip boundary theory are unsatisfactory because the slip boundary theory is not appropriate for liquids. [19][20][21] To improve the deficiency of the nonlocal model, Lim et al 23 proposed a new coupled model that considers the two scale effects of nonlocal stress and strain gradient together and couples them in a single constitutive equation. According to Lim's new model, different small-scale effects induced by nonlocal stress and strain gradients could be considered and analyzed simultaneously.…”