On the Dynamics of a Viscoelastic Fluid-Conveying Nanotube
Fluid Dynamics and Materials Processing, ISSN: 1555-2578, Vol: 18, Issue: 4, Page: 1137-1151
2022
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Article Description
The objective of the presented study is to perform a vibration analysis and investigate the stability of a viscoelastic-fluid conveying pipe with an intermediate support. The mathematical model is elaborated in the framework of the Euler-Bernoulli beam theory in combination with the Kelvin-Voight viscoelastic approach. The resulting differential equation of motion and the related boundary conditions and compatibility conditions in the mid-span support are solved analytically using a power series method. The results show that an intermediate support located at (Formula presented) = 0.1 and (Formula presented) = 0.5 increases the critical velocity up to 35% and 50.15%, respectively. Also, the non-dimensional critical velocity for an intermediate support at (Formula presented) = 0.1 is 4.83.
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