Investigating the effect of viscosity and nonlocal effects on the stability of SWCNT conveying flowing fluid using nonlinear shell model

► The nonlinear Donnell shallow shell model is developed to simulate nonlocal effects. ► The effect of depletion layer near the wall on the structure stability is studied. ► Viscosity has strong effect for 40 nm diameters SWCNTs, but may be ignored for sub-7 nm. ► Nonlocal effects show non-stabilizing behavior for sub-3 nm diameters SWCNTs.