Nonlocal Timoshenko Beam for Vibrations of Magnetically Affected Inclined Single-Walled Carbon Nanotubes as Nanofluidic Conveyors

Abstract

This work displays both longitudinal and transverse vibrations of magnetically affected inclined single-walled carbon nanotubes for conveying fluid flow. By employing an equivalent continuum structure on the basis of the nonlocal Timoshenko beam model as well as plug-like model for the nanofluidic flow inside the pore, the nonlocal governing equations are obtained accounting for nonlocality, frictionless nature of the inside wall, the Knudsen number, and full longitudinal and transverse interactions of the fluid flow with the single-walled carbon nanotubes. By implementing Galerkin-based assumed mode method, the equations of motion are discretized appropriately and then solved for the unknown dynamical deformation fields. The roles of nanofluidic flow velocity, small-scale parameter, inclination angle of single-walled carbon nanotube, and magnetic field strength on maximum values of longitudinal and transverse displacements are explained and discussed. The results show that the maximum dynamic deflection of the inclined nanotube would lessen by increase of the magnetic field strength. This fact is also more apparent for higher levels of fluid flow velocity. Additionally, variation of the longitudinal magnetic field has a trivial influence on the variation of longitudinal displacement. The predicted results reveal that application of the longitudinal magnetic field could be used as an efficient methodology to reduce the lateral vibrations of single-walled carbon nanotubes as nanofluidic conveyors.

Finite Element Model and Size Dependent Stability Analysis of Boron Nitride and Silicon Carbide Nanowires/Nanotubes

“…In the literature, many mathematical and continuum mechanic models have been used to model nano-and micro-sized structures. Nanowires have been mostly modeled for conducting analysis using classic and sizee ective Euler-Bernoulli and Timoshenko beam theories [67][68][69][70][71]. In addition, shell and plate theories have been used widely to make analysis possible without using any high-tech laboratory or real nanotubes [72][73][74].…”

“…As stated before, C 1 , C 2 , C 3 , and C 4 are those constants that can be determined through Eqs. (67)- (70). To solve these four equations with four unknown constants, Eqs.…”

A Numerical Investigation of the Nonlinear Flow and Heat Transfer Mechanism in Rough Fractured Rock Accounting for Fluid Phase Transition Effects

“…Some researchers [24,25] have also conducted thermo-hydrodynamic analyses of two-phase flow in heat pipes or microchannel coolers. However, constrained by the small-scale parameters of microchannels and the slip boundary at the fluid-solid coupling interface [26,27], the fluid's motion state is markedly different from that of high-temperature fractured fluid. In one study, Kiani [28] mentioned that in inclined single-walled carbon nanotubes (SWCNTs), a longitudinal magnetic field can be exploited as an effective method to control transverse vibrations of SWCNT-conveying fluids.…”

Entropy generation in peristaltic flow of Williamson nanofluid

“…Buongiorno [22] discussed the model showing an increase in thermal conductivity of nanofluids through important mechanisms of thermophoresis and Brownian motion. Reasonable literature is available on peristalsis using models of nanofluids (see [23][24][25][26][27][28][29]).…”