Wave propagation analysis of carbon nano-tube conveying fluid including slip boundary condition and strain/inertial gradient theory

This article addresses wave propagation in carbon nano-tube (CNT) conveying fluid. CNT structure is modeled by using size-dependent strain/inertia gradient theory of continuum mechanics, CNT wall-fluid flow interaction by slip boundary condition and Knudsen number (Kn). Complex-valued wave dispersion relations and corresponding characteristic equations are derived. Fluid viscosity, gyroscopic inertial force, flow velocity, wave number, wave frequency, and decaying ratio are among parameters that their variations are discussed and some remarkable results are drawn. It was observed Kn could impress complex wave frequencies at both lower and higher ranges of wave numbers, while small-size had impression at higher range.