Nonlinear Thermal-Magneto-Mechanical Vibration Analysis of Single-Walled Embedded Branched Carbon Nanotubes Conveying Nanofluid

Abstract In this present study, the nonlinear thermal-magneto-mechanical stability and vibration of branched nanotube conveying nano-magnetic fluid embedded in linear elastic foundations are analyzed. The governing equations established via Euler–Bernoulli theory, Hamilton’s principle, nonlocal theory elasticity. flow thermal behaviors nanofluid described using modified Navier–Stokes conservation energy equations. With aid Galerkin decomposition technique differential transformation method (DTM), coupled thermos-fluidic-vibration equation is solved analytically. analytical solutions as presented study match with an existing experimental result such used to explore influences parameters, downstream or branch angle, temperature, magnetic effect, velocity, foundation end conditions on vibrations nanotube. results indicate that decreasing temperature change augmenting angle decreases for prebifurcation domain but increases post-bifurcation region. Furthermore, term possesses a damping attenuating impact response at any mode boundary condition considered. It anticipated outcome will find applications strategic optimization designed nano-devices under thermo-mechanical flow-induced vibration.