Endress+Hauser Proline Prowirl R 200 - Page 178

Technical data Proline Prowirl R 200 HART
178 Endress+Hauser
Q [m /h] =
AmpMax
³
350[m/s] · · D [m]
i
²π
· 3600 [s/h]
4 ·
ρ [kg/m ]³
1 [kg/m ]³
Q [ /min] =
AmpMax
!³
1148[!/s] · · D [ft]
i
²π
· 60 [s/min]
4 ·
ρ [lbm/ ]#³
0.0624 [lbm/ ]!³
A0034316
Q
AmpMax
Maximum measurable flow rate based on signal amplitude
D
i
Internal diameter of measuring tube (corresponds to dimension K)
ρ Density
For gas applications, an additional restriction applies to the upper range value with regard
to the Mach number in the measuring device, which must be less than 0.3. The Mach
number Ma describes the ratio of the flow velocity v to the sound velocity c in the fluid.
Ma =
v [m/s]
c [m/s]
Ma =
v [!/s]
c [!/s]
A0034321
Ma Mach number
v
Flow velocity
c Sound velocity
The corresponding flow rate can be derived using the nominal diameter.
Q [m /h] =
Ma = 0.3
³
0.3 · c [m/s] · · D [m]
i
²
π
4
· 3600 [s/h]
Q [ /min] =
Ma = 0.3
!³
0.3 · c [ft/s] · · D [ft]
i
²
π
4
· 60 [s/min]
A0034337
Q
Ma = 0.3
Restricted upper range value is dependent on Mach number
c Sound velocity
D
i
Internal diameter of measuring tube (corresponds to dimension K)
ρ Density
The effective upper range value Q
High
is determined using the smallest of the three values
Q
max
, Q
AmpMax
and Q
Ma=0.3
.