Flow Rates in Heating Systems
Calculating flow rates in heating systems
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The volumetric flow rate in a heating system can be expressed as
q = h / ( cp ρ dt ) (1)
where
q = volumetric flow rate
h = heat flow rate
ρ = density
dt = temperature difference
The basic equation can be modified for the actual units - SI or imperial - and the liquids in use.
Volumetric Water Flow Rate in Imperial Units
For water with temperature 60 oF flow rate can be expressed as
q = h (7.48 gal/ft3) / ((1 Btu/lbm.oF) (62.34 lb/ft3) (60 min/h) dt)
= h / (500 dt) (2)
where
q = water flow rate (gal/min)
h = heat flow rate (Btu/h)
dt = temperature difference (oF)
For more exact volumetric flow rates for hot water the properties of hot water should be used.
Water Mass Flow Rate in Imperial Units
Water mass flow can be expressed as:
m = h / ((1.2 Btu/lbm.oF) dt)
= h / (1.2 dt) (3)
where
m = mass flow (lbm/h)
Volumetric Water Flow Rate in SI-Units
Volumetric water flow in a heating system can be expressed with SI-units as
q = h / ((4.2 kgoC) (1000 kg/m3) dt)
= h / (4200 dt) (4)
where
q = water flow rate (m3/s)
h = heat flow rate (kW or kJ/s)
dt = temperature difference (oC)
For more exact volumetric flow rates for hot water the properties of hot water should be used.
Water Mass Flow Rate in SI-units
Mass flow of water can be expressed as:
m = h / ((4.2 kg.oC) dt)
= h / (4.2 dt) (5)
where
m = mass flow rate (kg/s)
Example - Flow Rate in a Heating System
A water circulating heating systems delivers 230 kW with a temperature difference of 20oC.
The volumetric flow can be expressed as:
q = (230 kW) / ((4.2 kg oC) (1000 kg/m3) (20 oC))
= 2.7 10-3 m3/s
The mass flow can be expressed as:
m = (230 kW) / ((4.2 kJ/kg oC) (20oC))
= 2.7 kg/s
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