TY - JOUR
T1 - Super and subcritical nonlinear nonlocal analysis of NSGT nanotubes conveying nanofluid
AU - Farajpour, Ali
AU - Ghayesh, Mergen H.
AU - Farokhi, Hamed
PY - 2019/12
Y1 - 2019/12
N2 - An advanced nonlinear continuum model is presented to analyse the super and subcritical nonlinear behaviour of nanotubes. The nanoscale system is used to convey fluid flow at nanoscale levels. Due to the restrictions of one-parameter size-dependent models, a more comprehensive nonlinear coupled model containing two different size parameters is introduced using the nonlocal strain gradient theory (NSGT). Both axial and transverse inertial terms are taken into consideration, leading to more accurate results for nanotubes conveying fluid. In addition, since the mean free path of molecules is not negligible compared to the diameter of the tube at nanoscales, the Beskok–Karniadakis approach is implemented. The NSGT, Galerkin’s technique and continuation method are finally employed to derive, discretise and solve the coupled nonlinear equations, respectively. The frequency–amplitude response, modal interactions and the possibility of energy transfer between modes are examined in both supercritical and subcritical flow regimes.
AB - An advanced nonlinear continuum model is presented to analyse the super and subcritical nonlinear behaviour of nanotubes. The nanoscale system is used to convey fluid flow at nanoscale levels. Due to the restrictions of one-parameter size-dependent models, a more comprehensive nonlinear coupled model containing two different size parameters is introduced using the nonlocal strain gradient theory (NSGT). Both axial and transverse inertial terms are taken into consideration, leading to more accurate results for nanotubes conveying fluid. In addition, since the mean free path of molecules is not negligible compared to the diameter of the tube at nanoscales, the Beskok–Karniadakis approach is implemented. The NSGT, Galerkin’s technique and continuation method are finally employed to derive, discretise and solve the coupled nonlinear equations, respectively. The frequency–amplitude response, modal interactions and the possibility of energy transfer between modes are examined in both supercritical and subcritical flow regimes.
KW - NSGT nanotubes
KW - Fluid flow
KW - Coupled motion
KW - Geometrical nonlinearity
U2 - 10.1007/s00542-019-04442-y
DO - 10.1007/s00542-019-04442-y
M3 - Article
AN - SCOPUS:85065400088
VL - 25
SP - 4693
EP - 4707
JO - Microsystem Technologies
JF - Microsystem Technologies
SN - 0946-7076
IS - 12
ER -