In this work differential transform method (DTM) is used to study the vibration behavior of fluid conveying single-walled carbon nanotube (SWCNT). Based on the theories of elasticity mechanics and nonlocal elasticity, an elastic Bernoulli-Euler beam model is developed for thermal-mechanical vibration and instability of a single-walled carbon nanotube (SWCNT) conveying fluid and resting on an elastic medium. The critical fluid velocity is being found out with different boundary conditions, i.e. Fixed-Fixed and simply supported at ends. Effects of different temperature change, nonlocal parameters on natural frequency and critical fluid velocity are being discussed.
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