Nonlocal vibration of Y-shaped CNT conveying nano-magnetic viscous fluid under magnetic field

This study deals with the vibration and stability analysis of a Y-shaped single-walled carbon nanotube (SWCNT) embedded in visco-Pasternak foundation and conveying nano-magnetic viscous fluid (NMF) based on nonlocal elasticity theory and Euler–Bernoulli beam model. The fluid is two-phases due to the existence of magnetic nanoparticles which its volume fraction is much little in comparison with the base fluid where the influence of 2D magnetic field is taken into account. Also, Knudsen number is used to correct the velocity profile of fluid. The Galerkin method is applied to solve the equation of motion which is obtained by employing Hamilton’s principle. The detail parametric study is conducted, focusing on the combined effects of carbon nanotube and Y-shaped junction fitted at the downstream end, fluid velocity, Knudsen number and elastic medium. The results indicate that increasing the angle between centerline of the CNT and the downstream elbows decreases stability of system.