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 clampedclamped, 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.

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