Pipe diameter calculations

Overview
1. Calculation of pipe content

2. Pipe diameter determination for liquids and gases
- Calculation of pipe diameter
- Calculation of the volume flow

3. Pipe diameter determination for steam (saturated steam)
- Calculation of pipe diameter
- Calculation of the mass flow

1. Calculation of pipe content (volume)
>> Pipe volume calculation:

Inside diameter [D]:
mm


Pipe length [L]:
m


Result [ltr.]



Rohrinhalt
2. Pipe diameter determination for liquids
>> Calculation of the pipe diameter [D]:

Volumetric flow rate [Q]:
m3/h


Flow speed rate [w]:
m/s


Result [mm]



Durchmesser
Typical flow speed rates [w] in the beverage industry, on the pressure side of a pump:
-> Beer, carbonated soft drinks = 2 m/s
-> Beer wort = 1 m/s (because def. g-Glucans = filtration problems)
-> Milk = 2 m/s
-> Yoguhurt = 1.5 m/s
-> Water = 2-3 m/s
-> Gases (compr. air, CO2, N2) = 6 m/s

Conversion for gases from standard condition (Pn=1bar abs) to operating condition:                Q = Qn * 1/P * T/273   [Q=m³/h, T=°K]

Conversion between gas weight and gas volume:
          for gases in standard state [1 bar absolute pressure] -> 1 mol = 22.4 litres [dm³]
          atomic mass of oxygen = 16 grams per mol, =>> 16 grams per 22.4 litres
          atomic mass of carbon = 12 grams per mol
          mass of CO2 = 44 grams per mol (12+ 2x16=44)
  
>> Calculation of the volumetric flow rate [Q]:

Pipe diameter [D]:
mm


Flow speed rate [w]:
m/s


Result [m3/h]


Volumenstrom
3. Pipe diameter determination for steam (saturated)
>> Calculation of the pipe diameter [D]:


Mass flow rate [m']:
kg/h


Specific steam volume [v] in operating condition:
m3/kg


Flow speed rate [w]:
m/s


Result [mm]


Massenstrom m
Typical flow rate [w] in the beverage industry:
-> Saturated steam (<10 bar) = 20-40 m/s

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Spec. saturated steam volume [v] at different pressures:
-> at 0,5 bar-abs = 3,240 m³/kg
-> at 0,6 bar-abs = 2,731 m³/kg
-> at 0,7 bar-abs = 2,365 m³/kg
-> at 0,8 bar-abs = 2,087 m³/kg
-> at 0,9 bar-abs = 1,869 m³/kg
-> at 1,0 bar-abs = 1,694 m³/kg 1,0 bar-abs = 0 bar(Ü) ~ atmospheric pressure
-> at 1,5 bar-abs = 1,159 m³/kg
-> at 2,0 bar-abs = 0,886 m³/kg
-> at 2,5 bar-abs = 0,718 m³/kg
-> at 3,0 bar-abs = 0,606 m³/kg
-> at 3,5 bar-abs = 0,524 m³/kg
-> at 4,0 bar-abs = 0,462 m³/kg
-> at 4,5 bar-abs = 0,414 m³/kg
-> at 5,0 bar-abs = 0,375 m³/kg
-> at 6,0 bar-abs = 0,315 m³/kg
-> at 7,0 bar-abs = 0,273 m³/kg
-> at 8,0 bar-abs = 0,240 m³/kg
-> at 9,0 bar-abs = 0,215 m³/kg

Please refer to the spec. steam volumes for wet steam and superheated steam from the respective tables as necessary.
>> Calculation of the steam mass flow rate [m']:

Pipe diameter [D]:
mm


Spec. steam volume [v] in operating condition:
m3/kg


Flow speed rate [w]:
m/s


Result [kg/h]


Massenstrom