
84 Fundamentals
follows the analysis of Wakeland and Keolian (2002). Based on the jet exit velocity profile,
K
d
is computed using
K
d
=
u
3
(
r, t
)
dA
dt
|
u
(
r, t
)
dA|
3
dt
(2.44)
where:
u(r, t) is the spatially varying velocity profile at the orifice exit
A is the cross-sectional area of the orifice
The model for K
d
is a function of Stokes number and was shown to asymptote to a value
of 2 at low frequencies and to a value of 1 as the Stokes number approaches infinity.
Oyarzun and Cattafesta (2010) demonstrated the influence that different models for
K
d
have on the agreement between the lumped element model and experimental results.
The results are illustrated in