Vibration analysis of a viscous fluid conveying double walled carbon nanotube

The vibrations of a viscous fluid conveying double walled carbon nanotube (DWCNT) is studied using nonlocal theory of elasticity. The frequency equations are obtained for viscous fluid conveying DWCNT with (i) both ends are clamped, (ii) one end is clamped and the other end is free. The non dimensional frequencies of viscous fluid conveying DWCNT and single walled carbon nanotube (SWCNT) are computed using MATLAB. Graphs are drawn for non-dimensional flow velocity versus dimensionless frequency of mode 1 for different nonlocal parameters, aspect ratio, van der Waals interaction parameter and viscosity respectively. A comparison graph is drawn between the dimensionless frequencies of DWCNT with clamped - clamped ends and clamped - free ends for first and third modes of vibration.