A Ghorbanpour Arani - Institute of Nanoscience & Nanotechnology, Kashan University, Kashan, I.R. Iran- Department of Mechanical Engineering, Kashan University, Kashan, I.R. Iran
E Haghparast - Department of Mechanical Engineering, Kashan University, Kashan, I.R. Iran
Z Khoddami Maraghi - Department of Mechanical Engineering, Kashan University, Kashan, I.R. Iran

In this study the nonlinear vibration in a coupled system of Boron-Nitride nano-tube reinforced composite (BNNTRC)micro-tubes conveying viscous fluid is investigated. Single-walled Boron-Nitride nano-tubes (SWBNNTs) are arrangedin a longitudinal direction inside Poly-vinylidene fluoride (PVDF) matrix. Based on piezoelectric fiber reinforcedcomposite (PFRC) theory, properties of BNNTRC micro-tubes are obtained. Damping and shearing effects of surroundedmedium are taken into account by visco-Pasternak model. To enhance the accuracy of results, the effect of slip flowregime is considered. Strain gradient theory is developed in cylindrical shell model to obtain the motion equations.Results indicated that, Knudsen number is a key parameter on critical flow velocity and stability of coupled system.Results of this investigation can be applied for optimum design of micro/nano-electro-mechanical systems(MEMS/NEMS) such as shell and tube heat exchangers in micro scale.

Composite micro-tubes, Visco-Pasternak foundation, Strain gradient theory, Knudsen number