Wave propagation in fluid-conveying viscoelastic single-walled carbon nanotubes with surface and nonlocal effects |
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| Affiliation: | 1. School of Quantitative Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah, Malaysia;2. COMSATS Institute of Information Technology, Attock 43600, Punjab, Pakistan;1. McGill University, Department of Mechanical Engineering, Macdonald Engineering Building, Room 270, 817 Sherbrooke Street West, Montreal, Quebec, Canada H3A 0C3;2. Podgorny Institute for Mechanical Engineering, National Academy of Science of Ukraine, Department of Vibrations, 2/10 Dm. Pozharskogo St., 61046 Kharkiv, Ukraine;3. Department of Gas and Fluid Mechanics, National Technical University “KhPI”, Frunze St. 21, Kharkiv 61002, Ukraine;1. Department of Electrical, Biomedical and Mechatronics Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran;2. Department of Electrical Engineering, Sharif University of Technology, Azadi Ave., Tehran, Iran |
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| Abstract: | In this paper, the transverse wave propagation in fluid-conveying viscoelastic single-walled carbon nanotubes is investigated based on nonlocal elasticity theory with consideration of surface effect. The governing equation is formulated utilizing nonlocal Euler-Bernoulli beam theory and Kelvin-Voigt model. Explicit wave dispersion relation is developed and wave phase velocities and frequencies are obtained. The effect of the fluid flow velocity, structural damping, surface effect, small scale effects and tube diameter on the wave propagation properties are discussed with different wave numbers. The wave frequency increases with the increase of fluid flow velocity, but decreases with the increases of tube diameter and wave number. The effect of surface elasticity and residual surface tension is more significant for small wave number and tube diameter. For larger values of wave number and nonlocal parameters, the real part of frequency ratio raises. |
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| Keywords: | Wave propagation Fluid-conveying carbon nanotube Viscoelastic Surface effect Nonlocal effect |
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