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Discharge given Detention Time for Circular Tank Calculator

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Discharge in Tank Important Formulas of Design of Continuous Flow Type of Sedimentation Tank Area of Tank Depth of 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%
✖Detention Time is the length of time the water is retained in a vessel or basin.ⓘ Detention Time [T_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 given Detention Time for Circular Tank [Q_d]

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Formula

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Discharge given Detention Time for Circular Tank

Formula

Q d = ({(D)}^{2}) \cdot (\frac{(0.011 \cdot D) + (0.785 \cdot d)}{T d})

Example

8.039958 m³/s = ({(4.8 m)}^{2}) \cdot (\frac{(0.011 \cdot 4.8 m) + (0.785 \cdot 3.00 m)}{6.9 s})

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Discharge given Detention Time for Circular Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

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
Detention Time: 6.9 Second --> 6.9 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_d = ((D)^2)*(((0.011*D)+(0.785*d))/T_d) --> ((4.8)^2)*(((0.011*4.8)+(0.785*3))/6.9)

Evaluating ... ...

Q_d = 8.03995826086956

STEP 3: Convert Result to Output's Unit

8.03995826086956 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

8.03995826086956 ≈ 8.039958 Cubic Meter per Second <-- Discharge in Tank

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Discharge in Tank Calculators

Discharge Entering Basin given Settling Velocity

Go Discharge entering Basin given Settling Velocity = (Settling Velocity*Width*Length)

Discharge Entering Basin given Flow Velocity

Go Discharge entering Basin given Flow Velocity = (Flow Velocity*Width*Depth)

Discharge Entering Basin given Cross-section Area of Tank

Go Discharge entering Basin given Cross-section Area = Flow Velocity*Cross-Sectional Area

Discharge given Plan Area

Go Discharge = Settling Velocity*Base Surface Area

< 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

Discharge given Detention Time for Circular Tank Formula

Discharge in Tank = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Detention Time)
Q_d = ((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 in Tank = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Detention Time) to calculate the Discharge in Tank, The Discharge given Detention Time for Circular Tank formula is defined as the calculation of the volumetric flow rate of fluid (usually water) entering a basin or tank, based on the detention time of the circular tank. Discharge in Tank is denoted by Q_d 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 -> 8.039958 = ((4.8)^2)*(((0.011*4.8)+(0.785*3))/6.9).

FAQ

What is Discharge given Detention Time for Circular Tank?

The Discharge given Detention Time for Circular Tank formula is defined as the calculation of the volumetric flow rate of fluid (usually water) entering a basin or tank, based on the detention time of the circular tank and is represented as Q_d = ((D)^2)*(((0.011*D)+(0.785*d))/T_d) or Discharge in Tank = ((Diameter)^2)*(((0.011*Diameter)+(0.785*Depth))/Detention Time). 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 & Detention Time is the length of time the water is retained in a vessel or basin.

How to calculate Discharge given Detention Time for Circular Tank?

The Discharge given Detention Time for Circular Tank formula is defined as the calculation of the volumetric flow rate of fluid (usually water) entering a basin or tank, based on the detention time of the circular tank is calculated using Discharge in Tank = ((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.

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