Vibration Analysis of Single-Walled Carbon NanotubesConveying Nanoflow Embedded in a Biological Soft Tissue

In this paper, a new modified model is presented for vibration analysis of a nanoflowconveyingsingle-walled carbon nanotube (SWCNT) embedded in a biological soft tissue. Inthis model, the effects of nano-size of both fluid flow and nanotube are considered, simultaneously.The SWCNT is modelled by nonlocal elasticity theory and we formulate the smallsizeeffects on slip boundary conditions of nanoflow through Knudsen number (Kn), as a discriminantparameter.The surrounding biological soft tissue is modeled as a viscoelastic mediumsimulated by Kelvin-Voigt model. The Hamilton’s principle is applied to the energyexpressions to obtain the higher-order governing differential equations of motion and thecorresponding higher-order boundary conditions. The effects of main parameters includingKnudsen number, nonlocal parameter and mechanical behavior of the surrounding biological soft tissue on the vibration frequency of the SWCNT are examined.

کلیدواژه ها:

Single-walled carbon nanotube ، Knudsen number ، nonlocal parameter ، biological soft tissue