Coupled Systems Mechanics
Volume 12, Number 1, 2023, pages 21-40
DOI: 10.12989/csm.2023.12.1.021
Thermal-magneto-mechanical stability analysis of singlewalled carbon nanotube conveying pulsating viscous fluid
R. Selvamani, M. Mahaveer Sree Jayan and Marin Marin
Abstract
In this study, the vibration problem of thermo elastic carbon nanotubes conveying pulsating viscous nano
fluid subjected to a longitudinal magnetic field is investigated via Euler-Bernoulli beam model. The controlling
partial differential equation of motion is arrived by adopting Eringen's non local theory. The instability domain and pulsation frequency of the CNT is obtained through the Galerkin's method. The numerical evaluation of this study is
devised by Haar wavelet method (HWM). Then, the proposed model is validated by analyzing the critical buckling
load computed in present study with the literature. Finally, the numerical calculation of system parameters are shown
as dispersion graphs and tables over non local parameter, magnetic flux, temperature difference, Knudsen number
and viscous parameter.
Key Words
dynamic stability; Haar wavelet method; Knudsen number; nonlocal parameter; pulsating nano flow; viscous fluid
Address
R. Selvamani: Department of Mathematics, Karunya University, Coimbatore, 641 114, Tamil Nadu, India
M. Mahaveer Sree Jayan: Department of Mathematics, Indra Ganesan College of Engineering, Tiruchirappalli, 620012, Tamilnadu, India
Marin Marin: Department of Mathematics and Computer Science, Transilvania University of Brasov, Romania