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Nonlocal electro-thermal transverse vibration of embedded fluid-conveying DWBNNTs

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Abstract

Electro-thermal transverse vibration of fluid-conveying double-walled boron nitride nanotubes (DWBNNTs) embedded in an elastic medium such as polyvinylidene fluoride (PVDF) which is a piezoelectric polymer is investigated. The elastic medium is simulated as a spring and van der Waals (vdW) forces between inner and outer nanotubes are also taken into account. Zigzag structure of boron nitride nanotubes (BNNTs) is described based on the nonlocal continuum piezoelasticity cylindrical shell theory, and Hamilton’s principle is employed to derive the corresponding higher-order equations of motion. In this model, DWBNNTs are placed in uniform temperature and electric field, the latter being applied through attached electrodes at both ends. Having considered the small scale effect, aspect ratio (L/R), densities of fluid and elastic medium, four different cases of loading are assumed in this study, including: a) direct voltage and heating (DVH), b) direct voltage and cooling (DVC), c) reverse voltage and heating (RVH), and d) reverse voltage and cooling (RVC). Numerical results indicate that increasing nonlocal parameter (e 0 a), for the four above mentioned cases, decreases the critical flow velocity of fluid. The results could be used in design of nano-electro-mechanical devices for measuring density of a fluid such as blood flowing through such nanotubes with great applications in medical fields.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, University of Kashan, Kashan, Iran

    A. Ghorbanpour Arani, M. Shokravi & S. Amir

  2. Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran

    A. Ghorbanpour Arani & M. R. Mozdianfard

  3. Department of Chemical Engineering, University of Kashan, Kashan, Iran

    M. R. Mozdianfard

Authors
  1. A. Ghorbanpour Arani
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  2. M. Shokravi
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  3. S. Amir
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  4. M. R. Mozdianfard
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Corresponding author

Correspondence to A. Ghorbanpour Arani.

Additional information

Recommended by Associate Editor Cheolung Cheong.

Ali Ghorbanpour Arani received his B.Sc. degree from Sharif University of Technology, Tehran, Iran, in 1988. He then received his M.Sc. degree from Amirkabir University of Technology, Tehran, Iran, in 1991 and his Ph.D degree from the Esfahan University of Technology, Esfahan, Iran, in 2001. Dr Ali Ghorbanpour Arani is a Professor in the Mechanical Engineering Department of University of Kashan, Kashan, Iran. His current research interests are stress analyses, stability and vibration of nanotubes and functionally graded materials (FGMs).

Maryam Shokravi received her B.Sc. degree from the University of Science and Technology in Tehran, Iran, in 2001. She then received her M.Sc. degree from University of Kashan in Kashan, Iran, in 2007. She is currently a Ph.D student at University of Kashan in Kashan, Iran. Her research interests are nanomechanics, vibration, buckling and smart materials.

Saeed Amir received his B.Sc. degree from the University of Kashan in Kashan, Iran, in 2007. He then received his M.Sc. degree from University of Kashan in Kashan, Iran, in 2009. He is currently a Ph.D student at University of Kashan in Kashan, Iran. His research interests are buckling and vibration analyses of carbon nanotubes, smart materials and functionally graded materials (FGMs).

Mohmmad Reza Mozdianfardand received his BSc degree in Chem. Eng. from Birmingham University in 1989, his Msc Eng. in Manufacturing, his M.Phil in mineral processing, and his Ph.D in Manufacturing and Mech. Eng from the same university. He headed Chem. Eng. department in the University of Kashan where he is lecturing now, with interest in nanomaterial, separation processes and environments.

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Ghorbanpour Arani, A., Shokravi, M., Amir, S. et al. Nonlocal electro-thermal transverse vibration of embedded fluid-conveying DWBNNTs. J Mech Sci Technol 26, 1455–1462 (2012). https://doi.org/10.1007/s12206-012-0307-9

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  • DOI: https://doi.org/10.1007/s12206-012-0307-9

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