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# Hydro–Hygro–Thermo–Magneto–Electro elastic wave propagation of axially moving nano-cylindrical shells conveying various magnetic-nano-fluids resting on the electromagnetic-visco-Pasternak medium

**S. Oveissi, A. Ghassemi, M. Salehi, S.A. Eftekhari, S. Ziaei-Rad**

**Thin-Walled Structures, Volume 173, February 2022, 108926**

**ABSTRACT**

The present study addresses hydro-magneto-electro wave propagation of the axially moving circular cylindrical nanoshells conveying magnetic nanofluid and embedded on an electromagnetic-visco-Pasternak foundation under three types of the longitudinal, circumferential, and simultaneous longitudinal–peripheral thermal and hygrothermal forces fields. It is assumed that the visco-Pasternak elastic medium consists of springs in the form of airy coils, so the application of an electric field to the system will also create a magnetic field and thus, the nano-system will become a magnetic–electric–elastic (MEE) state. The magnetic field will affect both the nanostructure as a Lorentz force and the passing nanofluid. The effect of magnetic nano-fluid on phonon dispersion is considered using Knudsen and Hartmann numbers. The equations governing the nano-fluid–structure interaction (Nano-FSI) problem under thermal, moisture, electrical, magnetic, and shear forces are derived using the proposed generalized theory of high-order shear deformation in cylindrical coordinates considering sinusoidal parameters and non-local elasticity, which we call CSN-HSDT for short. The Hamilton principle and the generalized Navier–Stokes equations are used for this purpose. In addition, the densities variations of nanostructures and different nanofluids (liquid or gas) due to thermal and thermal humidity fields, as well as the effects of the velocity of the nanostructure and the passing nanofluid on the system’s natural frequency are investigated. The results demonstrate that the axial velocity of the nanoshell will have a greater effect on the wave scattering and increasing the natural frequency of the system than the velocity of the transient fluid and this effect is decreased by increasing the wavenumber. Moreover, increasing the nanosystem stability and shifting the magnitude values of wave frequencies to higher amounts occurs by applying the fields of thermal and resulting humidity at room-temperatures, and using the negative voltage electric field, Lorentz force, and shear modulus. While the different results are obtained by utilizing the heat and humidity forces at high-temperatures, a positive voltage electric field, passing the magnetic nanofluid, and Winkler modulus. Here, the simultaneous effect of the mentioned force fields on the manner and speed of energy dispersion on a dynamic nanosystem under the influence of electromagnetic substrate and passing magnetic nanofluid is discussed for the first time. The results of the simultaneous application of these force fields in this study can be profitably exploited in the design and manufacturing of new smart structures used in structural health monitoring, energy harvesting, and drug delivery vessels in nanoscale.

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