Abstract：Based on the nonlocal elastic theory, a Euler–Bernoulli beam model is utilized to investigate the effect of longitudinal magnetic and temperature field on the transverse vibration of a single-walled carbon nanotubes (SWCNTs) conveying fluid. The slip boundary conditions of CNT conveying fluid are considered based on Knudsen number (Kn). The equation of motion and associated boundary conditions of a clamped-clamped SWCNT conveying fluid are derived by using Hamilton’s principle. In the solution part the differential transformation method (DTM) is uesed to solve the higher-order differential equations of motion. The effects of Knudsen number, nonlocal parameter, temperature and longitudinal magnetic field on the vibration frequency and divergence instability of SWCNT conveying fluid are investigated. Numerical results from the model show that the fundamental natural frequency and critical flow velocity for the SWCNT are affected by the small scale effect, Knudsen number, longitudinal magnetic and temperature field.
2017, Vol. 38 
