Size-dependent dynamical analysis of spinning nanotubes conveying magnetic nanoflow considering surface and environmental effects

Abstract

In this article, a nonlocal strain gradient theory (NSGT) incorporating the thickness effect is developed for dynamics and stability analysis of Y-shaped nanoscale tubes containing magnetic flow with spin motion in magneto-hygro-thermal environments. A detailed study is also conducted to elucidate the impacts of various parameters, such as magnetic flow, scale parameters, fluid velocity, spin speed, downstream elbow angle, localized masses, attached springs, surface effects, and complex environments on the system vibration. The scale-dependent dynamical equations are obtained using Hamilton's principle. The Galerkin scheme is applied to solve the eigenvalue problem of the system. Stability diagrams and vibrational frequencies are obtained. Furthermore, the divergence threshold of the structure is acquired analytically. The outcomes showed that the destructive effects of moisture and nonlocality on the system stability could be alleviated by the stabilizing effects of the magnetic field, strain gradient parameter, and surface effect. Furthermore, it is found that in low- and high-temperature conditions, the temperature variation has an opposite impact on the system stability. The results can be served as a comprehensive benchmark for optimum design of advanced doubly gyroscopic nanoscale systems transporting nanoflow.