Carbon nanotube conveying fluid 1 Continuum mechanics 1 Elliptical function method 1 Elliptical functions 1 Equations of motion 1 Exact solution 1 Flow velocity 1 Function methods 1 Linear frequency Non linear 1 Nonlinear free vibrations 1 Perturbation techniques 1 Single-walled carbon 1 Single-walled carbon nanotubes (SWCN) 1 Vibration of SWCNT 1 elliptical function method 1 exact solution 1 nonlinear free vibration 1 vibration of SWCNT 1