Effects of van der Waals forces on hygro-thermal vibration and stability of fluid-conveying curved double-walled carbon nanotubes subjected to external magnetic field

• Published in: Physica. E, Low-dimensional systems & nanostructures Vol. 106; pp. 156 - 169
• Main Authors: Dini, Ali, Zandi-Baghche-Maryam, Abbas, Shariati, Mahmoud
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-02-2019
• Subjects: Chirality effects; Curved double-walled carbon nanotubes; Eringen's nonlocal theory; Hygro-thermal vibration; Inextensible theory; Van der Waals force; Eringen's nonlocal theory; Curved double-walled carbon nanotubes; Hygro-thermal vibration; Chirality effects; Inextensible theory; Van der Waals force
• ISSN: 1386-9477; 1873-1759
• DOI: 10.1016/j.physe.2018.10.005

In the present study, a uniformly curved Euler-Bernoulli beam model is developed to analyze the hygro-thermal vibration and stability of curved double-walled carbon nanotubes (CDWCNT) conveying fluid subjected to a magnetic field based on hygro-thermal elasticity and Eringen's nonlocal theory. The CDWCNT includes the interaction of van der Waals (vdW) force between the inner and outer tubes and it is considered to be embedded in a visco-elastic foundation which is formulated using Kelvin-Voigt model. Hamilton's principle and the assumption of inextensibility of the tubes are applied to derive the nonlocal equations of motion and associated boundary conditions. The differential quadrature method is utilized to discretize the nonlocal governing equations and boundary conditions from which vibration frequencies of the CDWCNT are obtained for clamped-clamped, hinged-hinged and clamped-hinged end conditions. The effects of boundary conditions, different chirality, nonlocal parameter, hygro-thermal loading, magnetic field, fluid velocity, vdW interaction coefficient and visco-elastic foundation are studied on vibration and stability of the CDWCNT. It is explicitly shown that the hygro-thermal vibration response of the CDWCNT is considerably influenced by these parameters. The results given by present study are compared to those obtained from literature to validate the results.
•A curved double-walled carbon nanotube conveying fluid is considered based on the curved Euler-Bernoulli beam model.•The CDWCNT is subjected to hygro-thermal loading and magnetic field, and interaction of vdW forces is considered.•The inner and outer tubes are assumed to be inextensible.•The effects of nonlocal parameter, hygro-thermal loading, magnetic field, fluid velocity and vdW coefficient are studied.