Length of Tank given Detention Time Calculator

✖Detention time is the length of time water is retained in a vessel or basin.ⓘ Detention time [T_d]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%

✖Length is the measurement or extent of something from end to end.ⓘ Length of Tank given Detention Time [L]

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Formula

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Length of Tank given Detention Time

Formula

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

Example

`"26.46288m"=("3min"*"1.01m³/s")/("2.29m"*"3m")`

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Length of Tank given Detention Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Detention time - (Measured in Second) - Detention time is the length of time water is retained in a vessel or basin.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.

STEP 1: Convert Input(s) to Base Unit

Detention time: 3 Minute --> 180 Second (Check conversion here)
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Width: 2.29 Meter --> 2.29 Meter No Conversion Required
Depth: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (T_d*Q)/(w*D) --> (180*1.01)/(2.29*3)

Evaluating ... ...

L = 26.4628820960699

STEP 3: Convert Result to Output's Unit

26.4628820960699 Meter --> No Conversion Required

FINAL ANSWER

26.4628820960699 ≈ 26.46288 Meter <-- Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Design of Continuous Flow Type of Sedimentation Tank » Length of Tank » Length of Tank given Detention Time

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

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< 5 Length of Tank Calculators

Length of Tank given Detention Time

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

Length of Tank given Settling Velocity of Particular Sized Particle

Go Length = (70*Discharge)/(100*Width*Settling Velocity)

Length of Tank given Flow Velocity

Go Length = (Flow Velocity*Depth)/Settling Velocity

Length of Tank given Settling Velocity

Go Length = (Discharge/(Settling Velocity*Width))

Length of Tank given Overflow Rate

Go Length = (Discharge/(Overflow Rate*Width))

Length of Tank given Detention Time Formula

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

What is detention time ?

The theoretical (calculated) time required for a given amount of water or wastewater to pass through a tank at a given rate of flow.

How to Calculate Length of Tank given Detention Time?

Length of Tank given Detention Time calculator uses Length = (Detention time*Discharge)/(Width*Depth) to calculate the Length, Length of Tank given Detention Time calculates length of sedimentation tank when we have prior information of other parameters used. Length is denoted by L symbol.

How to calculate Length of Tank given Detention Time using this online calculator? To use this online calculator for Length of Tank given Detention Time, enter Detention time (T_d), Discharge (Q), Width (w) & Depth (D) and hit the calculate button. Here is how the Length of Tank given Detention Time calculation can be explained with given input values -> 26.20087 = (180*discharge)/(2.29*3).

FAQ

What is Length of Tank given Detention Time?

Length of Tank given Detention Time calculates length of sedimentation tank when we have prior information of other parameters used and is represented as L = (T_d*Q)/(w*D) or Length = (Detention time*Discharge)/(Width*Depth). Detention time is the length of time water is retained in a vessel or basin, Discharge is the rate of flow of a liquid, Width is the measurement or extent of something from side to side & Depth is the distance from the top or surface to the bottom of something.

How to calculate Length of Tank given Detention Time?

Length of Tank given Detention Time calculates length of sedimentation tank when we have prior information of other parameters used is calculated using Length = (Detention time*Discharge)/(Width*Depth). To calculate Length of Tank given Detention Time, you need Detention time (T_d), Discharge (Q), Width (w) & Depth (D). With our tool, you need to enter the respective value for Detention time, Discharge, Width & Depth 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 Length?

In this formula, Length uses Detention time, Discharge, Width & Depth. We can use 4 other way(s) to calculate the same, which is/are as follows -

Length = (Flow Velocity*Depth)/Settling Velocity
Length = (Discharge/(Settling Velocity*Width))
Length = (Discharge/(Overflow Rate*Width))
Length = (70*Discharge)/(100*Width*Settling Velocity)

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