Thermo-Fluidic Parameters Effects on Nonlinear Vibration of Fluid-Conveying Nanotube Resting on Elastic Foundations Using Homotopy Perturbation Method

Abstract

In this paper, effects of thermo-fluidic parameters on the nonlinear dynamic behaviours of single-walled carbon nanotube conveying fluid with slip boundary conditions and resting on linear and nonlinear elastic foundations under external applied tension and global pressure is studied using homotopy perturbation method. From the result, it is observed that increase in the Knudsen number, the slip parameter, leads to decrease in the frequency of vibration and the critical velocity while natural frequency and the critical fluid velocity increase as the in stretching effect increases. Also, as the Knudsen number increases, the bending stiffness of the nanotube decreases and in consequent, the critical continuum flow velocity decreases as the curves shift to the lowest frequency zone. As the change in temperature increases, the natural frequencies and the critical flow velocity of the structure increase for the low or room temperature while at high temperature, increase in temperature change, decreases the natural frequencies and the critical flow velocity of the structure. Further, it is established that the alteration of nonlinear flow-induced frequency from linear frequency is significant as the amplitude, flow velocity and axial tension increase. The developed analytical solutions can be used as starting points for better understanding of the relationship between the physical quantities of the problem.

Review Enhancement of Thermal Conductivity and Heat Transfer Using Carbon Nanotube for Nanofluids and Ionanofluids

“…Also, Ghadikolaei et al [29] numerically investigated the influence of heat transfer and magneto hydrodynamic flow of MWCNTs and SWCNTs as a micro-polar dusty fluid affected by Joule heating and nonlinear thermal radiation. Sobamowo et al [30] investigated the influence of thermo-fluidic parameters on the nonlinearity dynamic behaviors of SWCNTs conveying fluid utilizing the homotopy perturbation method. The objective of the present paper is to review and summarize the data and recent papers that used carbon nanotubes nanofluids to enhance thermal conductivity and heat transfer, as well as the utilization of carbon nanotube in ionanofluids with a quick review of some carbon nanotube properties and its applications.…”

Boundary layer flow of Gold –thorium water based nanofluids over a moving semi-infinite plat

“…He [17][18][19][20] expanded the homotopy perturbation method for solving linear, nonlinear and initial and boundary value problems by combining the standard homotopy and the perturbation methods. Recently, Sobamowo et al [21][22][23][24] studied the homotopy perturbation method for different type of fluids with boundary value problems. Oguntala et al [25] investigated the homotopy perturbation method for heat transfer process on inclination with porous fin heat sink.…”

Nonlinear vibrations of single- and double-walled carbon nanotubes resting on two-parameter foundation in a magneto-thermal environment

“…Interesting foundation studies have been considered after modelling of CNTs as structures resting or embedded on elastic foundations such as Winkler, Pasternak and Visco-Pasternak medium [30][31][32][33][34][35]. Other interesting works through modelling and experiment have also been presented to justify the widespread application of SWCNTs [36][37][38][39][40][41].…”