Detention Time for Circular Tank Solution

STEP 0: Pre-Calculation Summary
Formula Used
Detention time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge)
Td = ((D)^2)*(((0.011*D)+(0.785*D))/Q)
This formula uses 4 Variables
Variables Used
Detention time - (Measured in Second) - Detention time is the length of time water is retained in a vessel or basin.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
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
Diameter: 10 Meter --> 10 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
Td = ((D)^2)*(((0.011*D)+(0.785*D))/Q) --> ((10)^2)*(((0.011*10)+(0.785*3))/3)
Evaluating ... ...
Td = 82.1666666666667
STEP 3: Convert Result to Output's Unit
82.1666666666667 Second -->1.36944444444444 Minute (Check conversion here)
FINAL ANSWER
1.36944444444444 1.369444 Minute <-- Detention time
(Calculation completed in 00.004 seconds)

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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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 for Circular Tank Formula

Detention time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge)
Td = ((D)^2)*(((0.011*D)+(0.785*D))/Q)

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) to calculate the Detention time, Detention Time for Circular Tank 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 Td 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 (Q) and hit the calculate button. Here is how the Detention Time for Circular Tank calculation can be explained with given input values -> 0.022824 = ((10)^2)*(((0.011*10)+(0.785*3))/3).

FAQ

What is Detention Time for Circular Tank?
Detention Time for Circular Tank 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 Td = ((D)^2)*(((0.011*D)+(0.785*D))/Q) or Detention time = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge). Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere, 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 for Circular Tank?
Detention Time for Circular Tank 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 = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Discharge). To calculate Detention Time for Circular Tank, you need Diameter (D), Depth (D) & Discharge (Q). With our tool, you need to enter the respective value for Diameter, 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 Diameter, 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 = ((Width*Length*Depth)/Discharge)
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