The effects of the viscosity and density on the natural frequency of the cylindrical nanoshells conveying viscous fluid

In the present paper, the mechanical interaction between a cylindrical nanoshell and the surrounding fluid is investigated with considering small scale effects based on nonlocal elasticity theory. The Navier–Stokes equations are applied to model the external force between viscous fluid and nanoshell...

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Bibliographic Details
Published in:European physical journal plus 2021-01, Vol.136 (1), p.40, Article 40
Main Authors: Sharaf, Hussein Kadhim, Salman, Sadeq, Dindarloo, Mohammad Hassan, Kondrashchenko, Valery I., Davidyants, Alla Andronikovna, Kuznetsov, Sergey V.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Boundary conditions
Complex Systems
Condensed Matter Physics
Deformation effects
Density
Differential equations
Equations of motion
Fluids
Hamilton's principle
Literature reviews
Mathematical and Computational Physics
Mechanical analysis
Molecular
Nonlocal elasticity
Optical and Plasma Physics
Parameters
Physics
Physics and Astronomy
Porous materials
Regular Article
Resonant frequencies
Shear deformation
Theoretical
Vibration analysis
Viscosity
Viscous fluids
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Summary:In the present paper, the mechanical interaction between a cylindrical nanoshell and the surrounding fluid is investigated with considering small scale effects based on nonlocal elasticity theory. The Navier–Stokes equations are applied to model the external force between viscous fluid and nanoshell. The mechanical analysis of the cylindrical nanoshell which is immersed by several viscous fluids is studied to investigate the influences of the viscosity and density of the fluids on vibration characteristics of the cylindrical nanoshell. First-order shear deformation theory is applied to consider the shear effects. The governing differential equations of motion are obtained based on Hamilton’s principle for simply support boundary conditions. The effects of several parameters including nonlocal parameter, viscosity of fluids and geometrical properties are investigated on the natural frequency of the cylindrical nanoshells. Numerical results reveal that the viscosity and density of the fluids have considerable influences on the natural frequency of the cylindrical nanoshells.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-020-01026-y