R. Caen et al., UNSTEADY FLOWS IN MICROCHANNELS - FREQUEN CY-RESPONSE OF PNEUMATIC MICROTUBES, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 323(12), 1996, pp. 805-812
This account presents the theoretical evidence concerning the role of
microtube diameter in the longitudinal transmission of pressure distur
bances in a gaseous medium. The modelling is based on a Navier-Stokes
type equation combined with Maxwell-Smoluchowski first-order slip cond
itions. The results given relate to velocity variations in a given sec
tion and to the frequency response of the microtube as a function of t
he Knudsen number. Taking into account slip at the wall appears notabl
y to increase the band pass of the pneumatic line.