Vibration analysis of magneto-elastic single-walled mass sensor carbon nanotube conveying pulsating viscous fluid based on Haar wavelet method

Free magneto elastic waves in a pulsating viscous fluid conveying nanotube under the purview of Euler–Bernoulli beam model is addressed in this paper. The partial differential form of governing model is adopted via Eringen’s nonlocal theory. Galerkin’s method has been taken for instability and pulsa...

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Main Authors: R. Selvamani, M. Mahaveer Sree Jayan, F. Ebrahami
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818122000869
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author R. Selvamani
M. Mahaveer Sree Jayan
F. Ebrahami
author_facet R. Selvamani
M. Mahaveer Sree Jayan
F. Ebrahami
author_sort R. Selvamani
collection DOAJ
description Free magneto elastic waves in a pulsating viscous fluid conveying nanotube under the purview of Euler–Bernoulli beam model is addressed in this paper. The partial differential form of governing model is adopted via Eringen’s nonlocal theory. Galerkin’s method has been taken for instability and pulsation domains and Haar wavelet method (HWM) is considered for numerical evaluation. The dispersion graphs and tables are given for nonlocal value, magnetic field flux, Knudsen number and viscous parameter. The pulsation frequency and resolution output have a significant role over the physical variables. Critical buckling load is calculated and validated with the literature and received reasonable agreement.
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spelling doaj.art-78b78e4eea824ddbb592b336dbe019762022-12-22T03:52:05ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-12-016100428Vibration analysis of magneto-elastic single-walled mass sensor carbon nanotube conveying pulsating viscous fluid based on Haar wavelet methodR. Selvamani0M. Mahaveer Sree Jayan1F. Ebrahami2Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India; Corresponding author.Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, IndiaDepartment of Mechanical Engineering, Imam Khomeini International University, Qazvin, IranFree magneto elastic waves in a pulsating viscous fluid conveying nanotube under the purview of Euler–Bernoulli beam model is addressed in this paper. The partial differential form of governing model is adopted via Eringen’s nonlocal theory. Galerkin’s method has been taken for instability and pulsation domains and Haar wavelet method (HWM) is considered for numerical evaluation. The dispersion graphs and tables are given for nonlocal value, magnetic field flux, Knudsen number and viscous parameter. The pulsation frequency and resolution output have a significant role over the physical variables. Critical buckling load is calculated and validated with the literature and received reasonable agreement.http://www.sciencedirect.com/science/article/pii/S2666818122000869Stability analysisHaar wavelet methodPulsating nano flowNonlocal parameterViscous fluid
spellingShingle R. Selvamani
M. Mahaveer Sree Jayan
F. Ebrahami
Vibration analysis of magneto-elastic single-walled mass sensor carbon nanotube conveying pulsating viscous fluid based on Haar wavelet method
Partial Differential Equations in Applied Mathematics
Stability analysis
Haar wavelet method
Pulsating nano flow
Nonlocal parameter
Viscous fluid
title Vibration analysis of magneto-elastic single-walled mass sensor carbon nanotube conveying pulsating viscous fluid based on Haar wavelet method
title_full Vibration analysis of magneto-elastic single-walled mass sensor carbon nanotube conveying pulsating viscous fluid based on Haar wavelet method
title_fullStr Vibration analysis of magneto-elastic single-walled mass sensor carbon nanotube conveying pulsating viscous fluid based on Haar wavelet method
title_full_unstemmed Vibration analysis of magneto-elastic single-walled mass sensor carbon nanotube conveying pulsating viscous fluid based on Haar wavelet method
title_short Vibration analysis of magneto-elastic single-walled mass sensor carbon nanotube conveying pulsating viscous fluid based on Haar wavelet method
title_sort vibration analysis of magneto elastic single walled mass sensor carbon nanotube conveying pulsating viscous fluid based on haar wavelet method
topic Stability analysis
Haar wavelet method
Pulsating nano flow
Nonlocal parameter
Viscous fluid
url http://www.sciencedirect.com/science/article/pii/S2666818122000869
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AT mmahaveersreejayan vibrationanalysisofmagnetoelasticsinglewalledmasssensorcarbonnanotubeconveyingpulsatingviscousfluidbasedonhaarwaveletmethod
AT febrahami vibrationanalysisofmagnetoelasticsinglewalledmasssensorcarbonnanotubeconveyingpulsatingviscousfluidbasedonhaarwaveletmethod