@Article{fdmp.2022.019921,
AUTHOR = {Ola Adil Ibrahim, Gunawan Widjaja, Abdulhussien N. Alattabi, Krishanveer Singh, Yasser Fakri Mustafa, P. A. Krovopuskov, Mustafa M. Kadhim},
TITLE = {On the Dynamics of a Viscoelastic Fluid-Conveying Nanotube},
JOURNAL = {Fluid Dynamics \& Materials Processing},
VOLUME = {18},
YEAR = {2022},
NUMBER = {4},
PAGES = {1137--1151},
URL = {http://www.techscience.com/fdmp/v18n4/47314},
ISSN = {1555-2578},
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 ξ<sub>s</sub> = 0.1 and ξ<sub>s</sub> = 0.5 increases the critical velocity up to 35% and 50.15%, respectively. Also, the non-dimensional critical velocity for an intermediate support at ξ<sub>s</sub> = 0.1 is 4.83.},
DOI = {10.32604/fdmp.2022.019921}
}