Discharge given Detention Time for Circular Tank Calculator

✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%
✖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 given Detention Time for Circular Tank [Q]

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Formula

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Discharge given Detention Time for Circular Tank

Formula

`"Q" = (("D")^2)*(((0.011*"D")+(0.785*"D"))/"T"_{"d"})`

Example

`"1.369444m³/s"=(("10m")^2)*(((0.011*"10m")+(0.785*"3m"))/"3min")`

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Discharge given Detention Time for Circular Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Detention time)
Q = ((D)^2)*(((0.011*D)+(0.785*D))/T_d)
This formula uses 4 Variables

Variables Used

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.
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.
Detention time - (Measured in Second) - Detention time is the length of time water is retained in a vessel or basin.

STEP 1: Convert Input(s) to Base Unit

Diameter: 10 Meter --> 10 Meter No Conversion Required
Depth: 3 Meter --> 3 Meter No Conversion Required
Detention time: 3 Minute --> 180 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = ((D)^2)*(((0.011*D)+(0.785*D))/T_d) --> ((10)^2)*(((0.011*10)+(0.785*3))/180)

Evaluating ... ...

Q = 1.36944444444444

STEP 3: Convert Result to Output's Unit

1.36944444444444 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.36944444444444 ≈ 1.369444 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 10+ Discharge in Tank Calculators

Discharge given Detention Time for Circular Tank

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

Discharge given Height to Length Ratio

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

Discharge given Detention Time for Rectangular Tank

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

Discharge given Settling Velocity of Particular Sized Particle

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

Discharge Entering Basin given Settling Velocity

Go Discharge = (Settling Velocity*Width*Length)

Discharge given Overflow Rate

Go Discharge = (Overflow Rate*Width*Length)

Discharge Entering Basin given Flow Velocity

Go Discharge = (Flow Velocity*Width*Depth)

Discharge given Plan Area for Particular Sized Particle

Go Discharge = (100*Base Surface Area*Settling Velocity)/70

Discharge given Plan Area

Go Discharge = Settling Velocity*Base Surface Area

Discharge Entering Basin given Cross-section Area of Tank

Go Discharge = Flow Velocity*Cross-Sectional Area

Discharge given Detention Time for Circular Tank Formula

Discharge = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Detention time)
Q = ((D)^2)*(((0.011*D)+(0.785*D))/T_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 Discharge given Detention Time for Circular Tank?

Discharge given Detention Time for Circular Tank calculator uses Discharge = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Detention time) to calculate the Discharge, Discharge given Detention Time for Circular Tank calculates discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge given Detention Time for Circular Tank using this online calculator? To use this online calculator for Discharge given Detention Time for Circular Tank, enter Diameter (D), Depth (D) & Detention time (T_d) and hit the calculate button. Here is how the Discharge given Detention Time for Circular Tank calculation can be explained with given input values -> 1.369444 = ((10)^2)*(((0.011*10)+(0.785*3))/180).

FAQ

What is Discharge given Detention Time for Circular Tank?

Discharge given Detention Time for Circular Tank calculates discharge when we have prior information of other parameters used and is represented as Q = ((D)^2)*(((0.011*D)+(0.785*D))/T_d) or Discharge = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Detention time). 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 & Detention time is the length of time water is retained in a vessel or basin.

How to calculate Discharge given Detention Time for Circular Tank?

Discharge given Detention Time for Circular Tank calculates discharge when we have prior information of other parameters used is calculated using Discharge = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Detention time). To calculate Discharge given Detention Time for Circular Tank, you need Diameter (D), Depth (D) & Detention time (T_d). With our tool, you need to enter the respective value for Diameter, Depth & Detention time 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 Discharge?

In this formula, Discharge uses Diameter, Depth & Detention time. We can use 9 other way(s) to calculate the same, which is/are as follows -

Discharge = (Flow Velocity*Width*Depth)
Discharge = Flow Velocity*Cross-Sectional Area
Discharge = (Settling Velocity*Width*Length)
Discharge = Settling Velocity*Base Surface Area
Discharge = (Settling Velocity*Width*Depth)/Ratio of height to length
Discharge = (Overflow Rate*Width*Length)
Discharge = (100*Settling Velocity*Width*Length)/70
Discharge = ((Width*Length*Depth)/Detention time)
Discharge = (100*Base Surface Area*Settling Velocity)/70

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