Analytical Studies of SWCNTs Embedded in Nonlinear Viscous Elastic Media and the Chaotic Effect of Its Various Parameters

2021 ◽  
Vol 31 (06) ◽  
pp. 2150081
Author(s):  
Monika Tyagi ◽  
Ayub Khan ◽  
Mushahid Husain ◽  
Samina Husain

The analytical studies and chaotic behavior of forced vibration on Single-wall Carbon Nanotubes (SWCNTs) embedded in nonlinear viscous elastic medium subjected to parametric excitation are investigated. The analytical solution of the amplitude of nonlinear vibration is studied using Krylov–Bogoliubov–Mitropolsky (KBM) method. Both resonant and nonresonant cases are deduced. The computational techniques are used to draw graphs of time series, phase plot and Poincaré surface of section to analyze the chaotic behavior of the system considered. The plots are drawn for various values of different parameters like linear damping, nonlinear damping and amplitude of external forces in the considered model of SWCNTs. This work could be helpful in differentiating various elements of Carbon Nanotubes (CNTs) into the chaotic elements and controlling elements. The chaotic elements contributes to increase in the aging of CNTs while controlling elements can be used to control the irregular behavior of CNTs.

2015 ◽  
Vol 57 (5) ◽  
pp. 447-457 ◽  
Author(s):  
Hassan S. Hedia ◽  
Saad M. Aldousari ◽  
Ahmed K. Abdellatif ◽  
Gamal S. Abdelhaffez

2005 ◽  
Vol 30 (4) ◽  
pp. 393-400 ◽  
Author(s):  
Szymon Los ◽  
Philippe Azais ◽  
Roland JM Pellenq ◽  
Yannick Breton ◽  
Olivier Isnard ◽  
...  

Author(s):  
C. Sridevi ◽  
A. Sailakumari

Background: In this paper, transient two-dimensional laminar boundary layer viscous incompressible free convective flow of water based nanofluid with carbon nanotubes (CNTs) past a moving vertical cylinder with variable surface temperature is studied numerically in the presence of thermal radiation and heat generation. Methods: The prevailing partial differential equations which model the flow with initial and boundary conditions are solved by implicit finite difference method of Crank Nicolson type which is unconditionally stable and convergent. Results: Influence of Grashof number (Gr), nanoparticle volume fraction ( ), heat generation parameter (Q), temperature exponent (m), radiation parameter (N) and time (t) on velocity and temperature profiles are sketched graphically and elaborated comprehensively. Conclusion: Analysis of Nusselt number and Skin friction coefficient are also discussed numerically for both single wall carbon nanotubes (SWCNTs) and multi wall carbon nanotubes (MWCNTs).


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