Analysis of the Effect of Fluid Velocity on the Instability of Concrete Pipes Reinforced with Nanoparticles Conveying the Fluid Flow
Authors
Abstract
With respect to the great application of pipes conveying fluid in civil engineering, presenting a mathematical model for their stability analysis is essential. For this purpose, a concrete pipe, reinforced by iron oxide (Fe2O3) nanoparticles, conveying fluid is considered. The goal of this study is to investigate the structural stability to show the effects of the inside fluid and the nanoparticles. The structure was modeled by a cylindrical shell and using Reddy theory. To obtain the force induced by the inside fluid, the Navier-Stokes equation was used. To assume the effect of the nanoparticles in the pipe, the Mori-Tanaka model was utilized so that the effects of agglomeration of nanoparticles could be considered. Finally, by applying energy method and the Hamilton's principle, the governing equations were derived. For the stability analysis of the structure, differential quadrature method (DQM) was proposed and the effects of different parameters such as volume fraction of the nanoparticles and agglomeration of the nanoparticles inside fluid and geometrical parameters were investigated. The results showed that the existence of the nanoparticles as the reinforcement for the pipe led to the delay in the pipe instability.
Keywords
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9. Shen, H. Sh., “Torsional Buckling and Postbuckling of FGM Cylindrical Shells in Thermal Environments”, International Journal of Non-Linear Mechanics, Vol. 44: pp. 644-657, 2009.
10. Reddy, J. N., and Liu, C. F., “Higher-Order Shear Deformation Theory of Laminated Elastic Shells”, International Journal of Engineering Sscience, Vol. 23, pp. 319-330, 1985.
11. Duc, N., and Toan Than, P., “Nonlinear Dynamic Response and Vibration of Shear Deformable Imperfect Eccentrically Stiffened S-FGM Circular Cylindrical Shells Surrounded on Elastic Foundations”, Aerospace Science and Technology, Vol. 40, pp. 115-127, 2015.
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13. Amabili, M., “A Comparison of Shell Theories for Large-Amplitude Vibrations of Circular Cylindrical Shells: Lagrangian Approach”, Journal of Sound and Vibration, Vol. 264, pp. 1091-1125, 2003.
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16. Shi, D. L., and Feng, X. Q., “The Effect of Nanotube Waviness and Agglomeration on the Elastic Property of Carbon Nanotube-Reinforced Composties”, Journal of Engineering Materials and Technology ASME, Vol. 126, pp. 250-270, 2004.
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