scholarly journals Effects of the slip boundary condition on dynamics and pull-in instability of carbon nanotubes conveying fluid

2018 ◽  
Vol 22 (11) ◽  
Author(s):  
Himan Rashidi ◽  
Zaher Rahimi ◽  
Wojciech Sumelka
2005 ◽  
Vol 15 (03) ◽  
pp. 343-374 ◽  
Author(s):  
GUY BAYADA ◽  
NADIA BENHABOUCHA ◽  
MICHÈLE CHAMBAT

A thin micropolar fluid with new boundary conditions at the fluid-solid interface, linking the velocity and the microrotation by introducing a so-called "boundary viscosity" is presented. The existence and uniqueness of the solution is proved and, by way of asymptotic analysis, a generalized micropolar Reynolds equation is derived. Numerical results show the influence of the new boundary conditions for the load and the friction coefficient. Comparisons are made with other works retaining a no slip boundary condition.


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