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

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Formula

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Depth of Tank given Detention Time

Formula

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

Example

`"78.34148m"=("3min"*"3.0m³/s")/("3.01m"*"2.29m")`

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Depth of Tank given Detention Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Detention time: 3 Minute --> 180 Second (Check conversion here)
Discharge: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required
Length: 3.01 Meter --> 3.01 Meter No Conversion Required
Width: 2.29 Meter --> 2.29 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (T_d*Q)/(L*w) --> (180*3)/(3.01*2.29)

Evaluating ... ...

D = 78.3414818146208

STEP 3: Convert Result to Output's Unit

78.3414818146208 Meter --> No Conversion Required

FINAL ANSWER

78.3414818146208 ≈ 78.34148 Meter <-- Depth

(Calculation completed in 00.027 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

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< 5 Depth of Tank Calculators

Depth of tank given Height to Length Ratio

Go Depth = (Discharge in tank/(Settling Velocity*Width))*(Ratio of height to length)

Height of Tank given Detention Time for Circular Tank

Go Depth = (((Detention time*Discharge)/(Diameter)^2)-(0.011*Diameter))*(1/0.785)

Depth of Tank given Detention Time

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

Depth of Tank given Flow Velocity

Go Depth = (Discharge in tank/(Flow Velocity*Width))

Height of Tank given Flow Velocity

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

Depth of Tank given Detention Time Formula

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

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 Depth of Tank given Detention Time?

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

How to calculate Depth of Tank given Detention Time using this online calculator? To use this online calculator for Depth of Tank given Detention Time, enter Detention time (T_d), Discharge (Q), Length (L) & Width (w) and hit the calculate button. Here is how the Depth of Tank given Detention Time calculation can be explained with given input values -> 78.60262 = (180*3)/(3.01*2.29).

FAQ

What is Depth of Tank given Detention Time?

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

How to calculate Depth of Tank given Detention Time?

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

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

Depth = (Discharge in tank/(Flow Velocity*Width))
Depth = (Length*Settling Velocity)/Flow Velocity
Depth = (Discharge in tank/(Settling Velocity*Width))*(Ratio of height to length)
Depth = (((Detention time*Discharge)/(Diameter)^2)-(0.011*Diameter))*(1/0.785)

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