The effects of Knudsen-dependent flow velocity on vibrations of a nano-pipe conveying fluid

Surface stress effect on the vibration and instability of nanoscale pipes conveying fluid based on a size-dependent Timoshenko beam model

“…It is noted that the fluid-structure interaction based on the plug-like flow is in accord with the assumption of no-slip boundary conditions. Based on the investigations of Wang et al [44] and Mirramezani et al [45,46], the slip boundary condition is not an influential parameter on the liquid nano-flow behavior in the continuum flow regime. Considering the slip boundary condition would not noticeably change the critical liquid nano-flow velocity.…”

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

“…Also i R and o R are the inner and outer radius of nanotube, respectively, p is the pressure,  is the tangential momentum accommodation coefficient, which is considered to be 7 . 0   for most practical purposes [45]. Likewise, â is a coefficient and can vary from zero to a constant value.…”

“…For nanotubes conveying fluids, Kn may be larger than 01 . 0 [45]. Also i R and o R are the inner and outer radius of nanotube, respectively, p is the pressure,  is the tangential momentum accommodation coefficient, which is considered to be 7 .…”

“…where Kn is the dimensionless ratio of the mean free path of the fluid molecules to a characteristic length of the flow geometry [45]. For nanotubes conveying fluids, Kn may be larger than 01 .…”

“…For no-slip boundary conditions, 0  Kn and so the average velocity correction factor can be formulated as follows [45]: …”