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Vibration and instability of fluid-conveyed smart micro-tubes based on magneto-electro-elasticity beam model

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Abstract

The main scope of this paper is to propose a theoretical approach to investigate the stability of smart micro-tubes conveying fluid based on magneto-thermo-electro-elasticity theory. These micro-tubes are made of isotropic magneto-electro-elastic (MEE) material in which an incompressible fluid is flowing through it axially. Based on the Euler–Bernoulli beam model, using Hamilton’s variational principle and employing constitutive relations for MEE materials and Maxwell’s equations, the dimensionless governing equations pertinent to the free vibration of MEE tubes are derived. The effects of magnetization, thermal field, electricity and elasticity are modeled where the newly invented equation indicates the innovative properties of smart fluid-conveying MEE micro-tubes. Applying Galerkin method, eigenvalue analysis is performed and the critical fluid velocity and consequently stability of the system for both simply supported and clamped–clamped cases are studied. The effects of magnetic/electric potential and temperature changes on the stability of the system are discussed in detail. The obtained numerical results reveal that applying magneto-electric potential and temperature change has considerable effect on the stability of the system, which can be useful to control the critical fluid velocity in designing of smart fluid-conveying micro-tubes. Furthermore, the critical fluid velocities for different operating fluids with various densities are studied. It is shown that by increasing the fluid density the critical fluid velocity is decreased.

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Authors and Affiliations

  1. Mechanical Engineering Department, Urmia University, Urmia, Iran

    A. Amiri, I. J. Pournaki, E. Jafarzadeh, R. Shabani & G. Rezazadeh

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  1. A. Amiri
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  2. I. J. Pournaki
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  3. E. Jafarzadeh
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  4. R. Shabani
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  5. G. Rezazadeh
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Correspondence to R. Shabani.

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Amiri, A., Pournaki, I.J., Jafarzadeh, E. et al. Vibration and instability of fluid-conveyed smart micro-tubes based on magneto-electro-elasticity beam model. Microfluid Nanofluid 20, 38 (2016). https://doi.org/10.1007/s10404-016-1706-5

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  • DOI: https://doi.org/10.1007/s10404-016-1706-5

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