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58 Micro Motion 7827 Digital Viscosity Meter
Calculated Parameters
Figure A-1 The Velocity Of Sound (VOS) / density relationship
A.3.6 Density scaling
Once the indicated density has been corrected for temperature, viscosity and VOS, the result is scaled
to display density in any set of units. The following expression is used:
ρ = ρ
vos
* K [9]
Where:
• ρ = Displayed density (kg/m
3
)
• ρ
vos
= VOS-corrected density (kg/m
3
)
• K = Density scaling factor (1 = kg/m
3
)
A.4 Kinematic viscosity equation
To derive the fluid's kinematic viscosity the dynamic viscosity and density must be known. The 7827
meter can provide both of these parameters and is therefore able to offer this as a standard output
using the following equation:
ν = U * 1000 * [ ( η / V ) / ( ρ / K ) ] [10]
Where:
• ν = Fluid kinematic viscosity (in cS)
• U = Kinematic viscosity scaling factor (1 = cS)
• η = Fluid dynamic viscosity
• V = Dynamic viscosity scaling factor
• ρ = Fluid density
• K = Density scaling factor
The equation includes the dynamic viscosity and density scaling factors to ensure that the kinematic
viscosity is always calculated in centiStokes (cS). This result is then scaled by the kinematic viscosity
scaling factor (U) to scale the result to display other units of kinematic viscosity. (For details of how
to display alternative units refer to the 795x Operating Manual.)
0
500
1,000
1,500
2,000
200 400 600 800 1,000 1,200 1,400 1,600
+1 kg/m
3
+0.5 kg/m
3
OPTIMISED
-0.5 kg/m
3
-1 kg/m
3
Density (kg./m
3
)
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/
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)