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Detention Time for Circular Tank 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 >>

✖Diameter is the straight-line distance passing through the center of a circular cross-section, connecting two points on its boundary.ⓘ Diameter [D]			+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 [d]			+10% -10%
✖Discharge in Tank 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 in Tank [Q_d]			+10% -10%

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

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Detention Time for Circular Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Detention Time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge in Tank)
T_d = ((D)^2)*(((0.011*D)+(0.785*d))/Q_d)
This formula uses 4 Variables

Variables Used

Detention Time - (Measured in Second) - Detention Time is the length of time the water is retained in a vessel or basin.
Diameter - (Measured in Meter) - Diameter is the straight-line distance passing through the center of a circular cross-section, connecting two points on its boundary.
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.
Discharge in Tank - (Measured in Cubic Meter per Second) - Discharge in Tank 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

Diameter: 4.8 Meter --> 4.8 Meter No Conversion Required
Depth: 3 Meter --> 3 Meter No Conversion Required
Discharge in Tank: 8.2 Cubic Meter per Second --> 8.2 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_d = ((D)^2)*(((0.011*D)+(0.785*d))/Q_d) --> ((4.8)^2)*(((0.011*4.8)+(0.785*3))/8.2)

Evaluating ... ...

T_d = 6.76533073170732

STEP 3: Convert Result to Output's Unit

6.76533073170732 Second --> No Conversion Required

FINAL ANSWER

6.76533073170732 ≈ 6.765331 Second <-- Detention Time

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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

Overflow Rate given Discharge

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

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

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

Rate of Flow given Detention Time

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

Volume of Tank given Detention Time

LaTeX Go Volume of Tank = Detention Time*Rate of Flow

Detention Time for Circular Tank Formula

LaTeX Go

Detention Time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge in Tank)
T_d = ((D)^2)*(((0.011*D)+(0.785*d))/Q_d)

What is Detention Time?

Detention time is a measure of how long a given molecule of water resides within a pond before being discharged.

How to Calculate Detention Time for Circular Tank?

Detention Time for Circular Tank calculator uses Detention Time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge in Tank) to calculate the Detention Time, The Detention Time for Circular Tank formula is defined as theoretical 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 for Circular Tank using this online calculator? To use this online calculator for Detention Time for Circular Tank, enter Diameter (D), Depth (d) & Discharge in Tank (Q_d) and hit the calculate button. Here is how the Detention Time for Circular Tank calculation can be explained with given input values -> 6.765331 = ((4.8)^2)*(((0.011*4.8)+(0.785*3))/8.2).

FAQ

What is Detention Time for Circular Tank?

The Detention Time for Circular Tank formula is defined as theoretical time required for given amount of water or wastewater to pass through tank at given rate of flow and is represented as T_d = ((D)^2)*(((0.011*D)+(0.785*d))/Q_d) or Detention Time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge in Tank). Diameter is the straight-line distance passing through the center of a circular cross-section, connecting two points on its boundary, 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 & Discharge in Tank 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 for Circular Tank?

The Detention Time for Circular Tank formula is defined as theoretical time required for given amount of water or wastewater to pass through tank at given rate of flow is calculated using Detention Time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge in Tank). To calculate Detention Time for Circular Tank, you need Diameter (D), Depth (d) & Discharge in Tank (Q_d). With our tool, you need to enter the respective value for Diameter, Depth & Discharge in Tank 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 Diameter, Depth & Discharge in Tank. We can use 2 other way(s) to calculate the same, which is/are as follows -

Detention Time = Volume of Tank/Discharge in Tank
Detention Time = ((Width*Length*Depth)/Discharge)

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