The surface stress effects on linear vibration of nonlocal triple-walled boron nitride nano tube conveying viscose fluid flow using DQM

Abstract

The surface stress effects on electro-thermo-mechanical linear vibration of triple-walled boron nitride nano tube embedded in an elastic medium conveying fluid flow using nonlocal Euler-Bernoulli beam theory for clamped-clamped boundary condition are investigated. The kinematic energy of fluid and nano tube, strain energy, the external work done due to the van der Waals forces, elastic medium, viscosity of fluid for nano tube, centripetal force of fluid for the inner layer of nano tube are obtained. Using energy method and applying Hamilton’s principle, the governing equations of motion for triple-walled boron nitride nano tube under surface stress effects are derived. To solve these equations, the differential quadrature method is used. Their research results show that the dimensionless natural frequency decreases with an increase in fluid velocity. Also the buckling phenomenon is occurred, when the dimensionless natural frequency is equal to zero, which the system loses its stability due to the divergence. It can be seen that the stability range increases with increasing the thickness and length to diameter due to surface stresses. This study may be useful to accurately measure the vibration characteristics of nanotubes conveying fluid flow and to design nanofluidic devices for detecting blood Glucose.

Keywords

• surface stress effects
• linear vibration
• triple-walled boron nitride nano tube
• nonlocal euler-bernoulli beam
• dqm