A FLUID-STRUCTURE INTERACTION MODEL FOR CARBON NANOTUBES CONVEYING FLUID CONSIDERING NON-PLUG FLOW EFFECTS

Fluid viscosity and nanoflow effects make a nonuniform velocity profile inside carbon nanotubes (CNTs) conveying fluid affecting the stability of CNTs. In this study, a dimensionless velocity profile correction factor (VPCF) is derived as a function of the Knudsen number (Kn) to consider those effects on the stability of such systems. In addition, the couple stress theory and the Euler-Bernouli beam theory are employed to model the structure of nanotubes. Afterward, the complex eigen-frequencies of the system are obtained in terms of the length scale parameter, different boundary conditions, slip boundary condition, and the VPCF. It can be discerned from the results that the predicted critical velocity of flow decreases by considering the effect of non-plug flow velocity profile; thus, divergence instability happens at the lower values of flow velocity. On the other hand, the value of VPCF diminishes and approaches one by raising Kn, which means the influence of non-plug flow can be negligible for gas fluids compared to liquid fluids.