Tank drain time calculator

Calculate ideal drain time and discharged volume with your own figures.

Your numbers

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

Use ideal drain time and discharged volume to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Constant tank horizontal area (m²)
2
Outlet area (m²)
0.001
Initial head (m)
2
Final head (m)
0.1
Discharge coefficient
0.62
Ideal drain time (seconds)
1,599.52005
Discharged volume (m³)
3.8

Try another scenario

Constant tank horizontal area (m²)
2.2
Outlet area (m²)
0.001
Initial head (m)
2
Final head (m)
0.1
Discharge coefficient
0.62
Ideal drain time (seconds)
1,759.472055
Discharged volume (m³)
4.18
Calculation method

Calculation method

Ideal drain time (seconds)

Integrated Torricelli: t=2At/(Cd Ao sqrt(2g)) (sqrt(h0)-sqrt(h1)).

Discharged volume (m³)

Integrated Torricelli: t=2At/(Cd Ao sqrt(2g)) (sqrt(h0)-sqrt(h1)).

Symbols and units
a
Constant tank horizontal area (m²)
b
Outlet area (m²)
c
Initial head (m)
d
Final head (m)
e
Discharge coefficient

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

  • Constant-area vented tank, small outlet, no varying coefficient or connected pipe model. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Constant-area vented tank, small outlet, no varying coefficient or connected pipe model.
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