Nonlocal,strain gradient and surface effects on vibration and instability of nanotubes conveying nanoflow |
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Authors: | Meysam Atashafrooz Reza Bahaadini Hamid Reza Sheibani |
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Affiliation: | 1. Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iranm.atashafrooz@sirjantech.ac.ir;3. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran;4. Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran |
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Abstract: | ABSTRACTIn this paper, the size-dependent vibration and instability of nanoflow-conveying nanotubes with surface effects using nonlocal strain gradient theory (NSGT) are examined. Hence, based on Gurtin-Murdoch theory, the nonclassical governing equations are derived by extended Hamilton's principle. To study the small-size effects on the flow field, the Knudsen number is applied. Applying Galerkin's approach, the partial differential equations converted to ordinary differential equations. The effects of the main parameters like nonlocal and strain gradient parameters, length to diameter ratio, thickness, surface effects, Knudsen number and different boundary conditions on the eigenvalue and critical fluid velocity of the nanotube are explained. |
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Keywords: | Nonlocal strain gradient theory surface effects critical fluid velocity vibration nanotube |
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