Instrumentation & Automation

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ISA 1932 Nozzle - Liquid

Example Of Water Flowrate
Flowrate - Mass
Calculation of the flowrate [q] for a given differential pressure [Δp].
1. Input values

Calculated values	Symbol	Unit	Value
Device diameter at 20 °C	d20	mm	120,000
Pipe diameter at 20 °	D20	mm	200,000
Device material	steel AISI 321, S32100
Pipe material	steel 1030, 1034, 1035, 1038
Arithmetical mean deviation of the roughness profile (Steel encrusted)	Ra	mm	0,4000
Uniform equivalent roughness	Rk	mm	1,2500
Operating temperature	t	°С	75,00
Atmospheric pressure	p_a	kPa	100,00
Upstream pressure	p_u	kPa	1900,00
Differential pressure	Δp	kPa	49,00
Operating conditions
Dynamic viscosity	μ	μPa·s	378,2349
Density, operating conditions	ρ	kg/m³	975,6960

2. Calculation of intermediate values

Calculated values	Symbol	Unit	Value
Absolute pressure	p	kPa	2000,00
Thermodynamic temperature	T	°K	348,15
The temperature coefficient of change in the diameter of the device, caused by temperature deviations from 20 °C	K_d	-	1,000000
Device diameter at operating temperature	d	mm	120,0000
The temperature coefficient of change in the diameter of the pipe, caused by temperature deviations from 20 °C	K_p	-	1,000000
Pipe diameter at operating temperature	D	mm	200,0000
Diameter ratio	β	-	0,600000
Input rate factor	E	-	1,07187
Expansibility factor	ε	-	1,00000

3. Final calculations

Calculated values	Symbol	Unit	Value
1-st approximation
Reynolds number	Re	-	1000000
Discharge coefficient	C	-	0,961911
The roughness coefficient of the internal surface of the pipe	Kr	-	1,00723
Mass flowrate	q_m	kg/s	114,84923
2-nd approximation
Reynolds number	Re	-	1933066
Discharge coefficient	C	-	0,962035
The roughness coefficient of the internal surface of the pipe	Kr	-	1,00723
Mass flowrate	q_m	kg/s	114,86407
Deviation	Δ	%	0,0001292
3-d approximation
Reynolds number	Re	-	1933315
Discharge coefficient	C	-	0,962035
The roughness coefficient of the internal surface of the pipe	Kr	-	1,00723
Mass flowrate	q_m	kg/s	114,86407
Deviation	Δ	%	0,0000000