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Depth of Tank given Detention Time Calculator

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Important Formulas of Design of Continuous Flow Type of Sedimentation Tank Area of Tank Depth of Tank Discharge in Tank More >>

✖Detention Time is the length of time the 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%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Width is the horizontal measurement or dimension of a structure, feature, or area.ⓘ Width [w]			+10% -10%

✖Depth is the vertical distance from the surface of a reference point, such as the ground or water surface, to a specific point or feature below.ⓘ Depth of Tank given Detention Time [d]

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Formula

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Depth of Tank given Detention Time

Formula

d = \frac{T d \cdot Q}{L \cdot w}

Example

3.00309 m = \frac{6.9 s \cdot 3.0 m³/s}{3.01 m \cdot 2.29 m}

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Download Important Formulas of Design of Continuous Flow Type of Sedimentation Tank Formulas PDF PDF Image

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 vertical distance from the surface of a reference point, such as the ground or water surface, to a specific point or feature below.
Detention Time - (Measured in Second) - Detention Time is the length of time the water is retained in a vessel or basin.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Width - (Measured in Meter) - Width is the horizontal measurement or dimension of a structure, feature, or area.

STEP 1: Convert Input(s) to Base Unit

Detention Time: 6.9 Second --> 6.9 Second No Conversion Required
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) --> (6.9*3)/(3.01*2.29)

Evaluating ... ...

d = 3.00309013622713

STEP 3: Convert Result to Output's Unit

3.00309013622713 Meter --> No Conversion Required

FINAL ANSWER

3.00309013622713 ≈ 3.00309 Meter <-- Depth

(Calculation completed in 00.004 seconds)

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< Important Formulas of Design of Continuous Flow Type of Sedimentation Tank Calculators

Overflow Rate given Discharge

Go Overflow Rate = Discharge/(Width*Length)

Cross-section Area of Tank with known Velocity of Flow of Water

Go Cross-Sectional Area = Discharge/Velocity of Flow of Water

Rate of Flow given Detention Time

Go Rate of Flow = (Volume of Tank/Detention Time)

Volume of Tank given Detention Time

Go Volume of Tank = Detention Time*Rate of Flow

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, The Depth of Tank given Detention Time formula is defined as the value of the required depth of a tank, such as a sedimentation tank or a reactor, based on the specified detention time. 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 -> 73.11872 = (6.9*3)/(3.01*2.29).

FAQ

What is Depth of Tank given Detention Time?

The Depth of Tank given Detention Time formula is defined as the value of the required depth of a tank, such as a sedimentation tank or a reactor, based on the specified detention time and is represented as d = (T_d*Q)/(L*w) or Depth = (Detention Time*Discharge)/(Length*Width). Detention Time is the length of time the water is retained in a vessel or basin, Discharge is the rate of flow of a liquid, Length is the measurement or extent of something from end to end & Width is the horizontal measurement or dimension of a structure, feature, or area.

How to calculate Depth of Tank given Detention Time?

The Depth of Tank given Detention Time formula is defined as the value of the required depth of a tank, such as a sedimentation tank or a reactor, based on the specified detention time 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 2 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

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