S. Colin et al., UNSTEADY GASEOUS FLOWS IN RECTANGULAR MICROCHANNELS - FREQUENCY-RESPONSE OF ONE OR 2 PNEUMATIC LINES CONNECTED IN SERIES, European journal of mechanics. B, Fluids, 17(1), 1998, pp. 79-104
This paper represents an initial analysis of unsteady gaseous Bows in
a rectangular microchannel under usual pressure and temperature condit
ions. The effect of depth and aspect ratios of the cross-section is in
vestigated. With most fluid-based mechanical microsystems of snail int
ernal dimensions and subject to normal pressure and temperature condit
ions, flow is rarefied with slip at the walls. This flow is then model
ed by the Navier-Stokes equations combined with slip and temperature j
ump conditions at the walls. These conditions are represented by Maxwe
ll-Smoluchowski first order equations. By concentrating essentially on
the pulsed sinusoidal regime, it is shown that the instantaneous flow
rate amplitude, as well as the band pass of the microchannel are unde
restimated when slip at the walls is not taken into account. The frequ
ency response of two microchannels connected in series with different
cross-sectional areas is also studied. Finally, the proposed model can
serve as a tool giving information about the current feasibilities of
pressure sensors for the measurement of the dynamic characteristics o
f gaseous flows in microchannels. (C) Elsevier, Paris.