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    On the Dynamics of a Viscoelastic Fluid-Conveying Nanotube

    Ola Adil Ibrahim1, Gunawan Widjaja2, Abdulhussien N. Alattabi3, Krishanveer Singh4, Yasser Fakri Mustafa5, P. A. Krovopuskov6, Mustafa M. Kadhim7,*

    FDMP-Fluid Dynamics & Materials Processing, Vol.18, No.4, pp. 1137-1151, 2022, DOI:10.32604/fdmp.2022.019921

    Abstract 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 ξs = 0.1 and ξs = 0.5 increases the critical velocity up to 35% and 50.15%, respectively. Also, the non-dimensional… More >

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