Detention Time given Discharge Calculator

✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%
✖Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Discharge [Q]			+10% -10%

✖Detention time is the length of time water is retained in a vessel or basin.ⓘ Detention Time given Discharge [T_d]

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Formula

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Detention Time given Discharge

Formula

`"T"_{"d"} = (("w"*"L"*"D")/"Q")`

Example

`"0.1145min"=(("2.29m"*"3m"*"3m")/"3.0m³/s")`

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Detention Time given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Detention time = ((Width*Length*Depth)/Discharge)
T_d = ((w*L*D)/Q)
This formula uses 5 Variables

Variables Used

Detention time - (Measured in Second) - Detention time is the length of time water is retained in a vessel or basin.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

STEP 1: Convert Input(s) to Base Unit

Width: 2.29 Meter --> 2.29 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Depth: 3 Meter --> 3 Meter No Conversion Required
Discharge: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_d = ((w*L*D)/Q) --> ((2.29*3*3)/3)

Evaluating ... ...

T_d = 6.87

STEP 3: Convert Result to Output's Unit

6.87 Second -->0.1145 Minute (Check conversion here)

FINAL ANSWER

0.1145 Minute <-- Detention time

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 3 Detention Time Calculators

Detention Time for Circular Tank

Go Detention time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge)

Detention Time given Discharge

Go Detention time = ((Width*Length*Depth)/Discharge)

Detention Time for Rectangular Tank

Go Detention time = Volume of Tank/Discharge

Detention Time given Discharge Formula

Detention time = ((Width*Length*Depth)/Discharge)
T_d = ((w*L*D)/Q)

What is discharge ?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Detention Time given Discharge?

Detention Time given Discharge calculator uses Detention time = ((Width*Length*Depth)/Discharge) to calculate the Detention time, Detention Time given Discharge is defined as theoretical (calculated) time required for given amount of water or wastewater to pass through tank at given rate of flow. Detention time is denoted by T_d symbol.

How to calculate Detention Time given Discharge using this online calculator? To use this online calculator for Detention Time given Discharge, enter Width (w), Length (L), Depth (D) & Discharge (Q) and hit the calculate button. Here is how the Detention Time given Discharge calculation can be explained with given input values -> 0.0025 = ((2.29*3*3)/3).

FAQ

What is Detention Time given Discharge?

Detention Time given Discharge is defined as theoretical (calculated) time required for given amount of water or wastewater to pass through tank at given rate of flow and is represented as T_d = ((w*L*D)/Q) or Detention time = ((Width*Length*Depth)/Discharge). Width is the measurement or extent of something from side to side, Length is the measurement or extent of something from end to end, Depth is the distance from the top or surface to the bottom of something & Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

How to calculate Detention Time given Discharge?

Detention Time given Discharge is defined as theoretical (calculated) time required for given amount of water or wastewater to pass through tank at given rate of flow is calculated using Detention time = ((Width*Length*Depth)/Discharge). To calculate Detention Time given Discharge, you need Width (w), Length (L), Depth (D) & Discharge (Q). With our tool, you need to enter the respective value for Width, Length, Depth & Discharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Detention time?

In this formula, Detention time uses Width, Length, Depth & Discharge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Detention time = Volume of Tank/Discharge
Detention time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge)

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