Flow-induced vibration of double bonded visco-CNTs under magnetic fields considering surface effect

Abstract

Vibration of a double visco-elastic carbon nanotubes (CNTs) conveying viscous fluid coupled by visco-Pasternak medium is investigated based on visco-surface nonlocal theory. CNTs are placed in uniform longitudinal magnetic field and modeled by Euler–Bernoulli beam (EBB) theory. Visco-CNTs are conveying viscous fluid in which the effect of slip boundary condition is considered using Knudsen number correct factor in Navier–Stokes relations. The higher order governing equations of motion are derived based on Hamilton’s principle where differential quadrature (DQ) approach is applied to obtain the nonlocal frequency of coupled visco-CNTs system. The detailed parametric study is conducted, focusing on the combined effects of the magnetic field, visco-Pasternak foundation, Knudsen number, surface effect, aspect ratio, velocity of conveying viscous fluid and direct of fluid velocity. Also, it is found that trend of figures have good agreement with previous researches. The results of this work could be used in design and manufacturing of nano/micro mechanical system in advanced biomechanics applications with magnetic field as a parametric controller.