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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,*

1 General Directorate of Curricula-Ministry of Education-Iraq, Baghdad, 10020, Iraq
2 Senior Lecturer Faculty of Public Health Universitas Indonesia/Faculty of Law Universitas Krisnadwipayana, Jakarta, 11440, Indonesia
3 College of Petroleum Engineering, Al-Ayen University, Thi-Qar, 64005, Iraq
4 GLA University Mathura-India, Mathura, Chaumuhan, Uttar Pradesh, 281406, India
5 Department of Pharmaceutical Chemistry, College of Pharmacy, University of Mosul, Mosul, 41002, Iraq
6 Lipetsk State Technical University, Lipetsk, 398600, Russia
7 Department of Dentistry, Kut University College, Kut, Wasit, 52001, Iraq

* Corresponding Author: Mustafa M. Kadhim. Email:

Fluid Dynamics & Materials Processing 2022, 18(4), 1137-1151. https://doi.org/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 critical velocity for an intermediate support at ξs = 0.1 is 4.83.

## Keywords

APA Style
Ibrahim, O.A., Widjaja, G., Alattabi, A.N., Singh, K., Mustafa, Y.F. et al. (2022). On the dynamics of a viscoelastic fluid-conveying nanotube. Fluid Dynamics & Materials Processing, 18(4), 1137-1151. https://doi.org/10.32604/fdmp.2022.019921
Vancouver Style
Ibrahim OA, Widjaja G, Alattabi AN, Singh K, Mustafa YF, Krovopuskov PA, et al. On the dynamics of a viscoelastic fluid-conveying nanotube. Fluid Dyn Mater Proc. 2022;18(4):1137-1151 https://doi.org/10.32604/fdmp.2022.019921
IEEE Style
O.A. Ibrahim et al., "On the Dynamics of a Viscoelastic Fluid-Conveying Nanotube," Fluid Dyn. Mater. Proc., vol. 18, no. 4, pp. 1137-1151. 2022. https://doi.org/10.32604/fdmp.2022.019921

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