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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Elsevier
2022-12-01
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Series: | Partial Differential Equations in Applied Mathematics |
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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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institution | Directory Open Access Journal |
issn | 2666-8181 |
language | English |
last_indexed | 2024-04-12T02:22:21Z |
publishDate | 2022-12-01 |
publisher | Elsevier |
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series | Partial Differential Equations in Applied Mathematics |
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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