Plumbing mixed hot-water draw profile calculator

Calculate mixed-water volume and stored hot-water volume with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use mixed-water volume and stored hot-water volume to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Draw rates by interval (litres/min)
4,8,2
Interval lengths (minutes)
10,5,15
Stored hot-water temperature (°C)
60
Cold-water temperature (°C)
10
Desired mixed temperature (°C)
40
Mixed-water volume (litres)
110
Stored hot-water volume (litres)
66
Interval hot-water volumes (JSON)
[24,24,18]

Try another scenario

Draw rates by interval (litres/min)
[5, 8, 2]
Interval lengths (minutes)
[10, 5, 15]
Stored hot-water temperature (°C)
60
Cold-water temperature (°C)
10
Desired mixed temperature (°C)
40
Mixed-water volume (litres)
120
Stored hot-water volume (litres)
72
Interval hot-water volumes (JSON)
[30,24,18]
Calculation method

Calculation method

Mixed-water volume (litres)

Constant-temperature ideal mixing fraction = (mixed−cold)/(hot−cold), integrated over supplied draw intervals.

Stored hot-water volume (litres)

Constant-temperature ideal mixing fraction = (mixed−cold)/(hot−cold), integrated over supplied draw intervals.

Interval hot-water volumes (JSON)

Constant-temperature ideal mixing fraction = (mixed−cold)/(hot−cold), integrated over supplied draw intervals.

Symbols and units
a
Draw rates by interval (litres/min)
b
Interval lengths (minutes)
c
Stored hot-water temperature (°C)
d
Cold-water temperature (°C)
e
Desired mixed temperature (°C)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Constant-temperature ideal mixing fraction = (mixed−cold)/(hot−cold), integrated over supplied draw intervals. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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