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

Abstract

In this study, we considered the effects of nonlocal wave propagation on the interactions between single-walled carbon nanotubes (SWCNTs) and a viscous fluid under a longitudinal magnetic field based on the Euler–Bernoulli beam model. Carbon nanotubes were enclosed by a viscoelastic medium, which was simulated as a visco-Pasternak foundation. The longitudinal magnetic field was considered to be a longitudinal Lorentz force according to Maxwell's relations. In addition, the surface effect and Knudsen-dependent flow velocity were examined based on nonlocal elasticity theory. Nonlocal elasticity theory was utilized to derive the corresponding higher-order equations of motion based on Hamilton's principle, including the small-scale effects. The numerical results demonstrated that the longitudinal magnetic field, Knudsen number, small-scale parameters, viscoelastic medium, aspect ratio, fluid viscosity, and velocity of the fluid had significant effects on the wave propagation behavior of the fluid-conveying SWCNTs. In addition, increasing the longitudinal magnetic field caused the wave velocity to increase for different values of nonlocality. The results of this study may be beneficial for the fabrication of smart nano-structures that can be employed to transport fluidic drug to diseased areas, where a longitudinal magnetic field may help the viscous fluid to flow in a suitable stream.