Discharge Coefficient given Discharge through Critical Depth Flume Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖Width of Throat of the parshall flume is denoted by W symbol.ⓘ Width of Throat [W_t]			+10% -10%
✖Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.ⓘ Depth of Flow [d_f]			+10% -10%

✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Discharge Coefficient given Discharge through Critical Depth Flume [C_d]

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Formula

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Discharge Coefficient given Discharge through Critical Depth Flume

Formula

`"C"_{"d"} = "Q"/("W"_{"t"}*("d"_{"f"}^1.5))`

Example

`"0.667251"="14m³/s"/("3.5m"*(("3.3m")^1.5))`

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Discharge Coefficient given Discharge through Critical Depth Flume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = Discharge of Channel/(Width of Throat*(Depth of Flow^1.5))
C_d = Q/(W_t*(d_f^1.5))
This formula uses 4 Variables

Variables Used

Coefficient of Discharge - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Width of Throat - (Measured in Meter) - Width of Throat of the parshall flume is denoted by W symbol.
Depth of Flow - (Measured in Meter) - Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Width of Throat: 3.5 Meter --> 3.5 Meter No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = Q/(W_t*(d_f^1.5)) --> 14/(3.5*(3.3^1.5))

Evaluating ... ...

C_d = 0.667250766743249

STEP 3: Convert Result to Output's Unit

0.667250766743249 --> No Conversion Required

FINAL ANSWER

0.667250766743249 ≈ 0.667251 <-- Coefficient of Discharge

(Calculation completed in 00.004 seconds)

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< 10+ Metering Flumes Calculators

Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel

Go Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)))))

Coefficient of Discharge through Flume given Discharge Flow through Channel

Discharge Flow through Rectangular Channel

Go Discharge of Channel = (Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2)*(sqrt(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)/((Cross Section Area 1^2)-(Cross Section Area 2^2))))

Discharge Flow through Channel

Head at Entrance of Section given Discharge Flow through Channel

Go Loss of Head at Exit = Loss of Head at Entrance-(Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2

Head at Entrance given Discharge through Channel

Go Loss of Head at Entrance = (Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2+Loss of Head at Exit

Depth of Flow given Discharge through Critical Depth Flume

Go Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3)

Discharge Coefficient given Discharge through Critical Depth Flume

Go Coefficient of Discharge = Discharge of Channel/(Width of Throat*(Depth of Flow^1.5))

Width of Throat given Discharge through Critical Depth Flume

Go Width of Throat = Discharge of Channel/(Coefficient of Discharge*(Depth of Flow^1.5))

Discharge through Critical Depth Flume

Go Discharge of Channel = Coefficient of Discharge*Width of Throat*(Depth of Flow^1.5)

Discharge Coefficient given Discharge through Critical Depth Flume Formula

Coefficient of Discharge = Discharge of Channel/(Width of Throat*(Depth of Flow^1.5))
C_d = Q/(W_t*(d_f^1.5))

What is Depth of Flow?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Note: Flow at normal depth in culverts often presents the highest average velocities and shallowest depths at that flow.

How to Calculate Discharge Coefficient given Discharge through Critical Depth Flume?

Discharge Coefficient given Discharge through Critical Depth Flume calculator uses Coefficient of Discharge = Discharge of Channel/(Width of Throat*(Depth of Flow^1.5)) to calculate the Coefficient of Discharge, The Discharge Coefficient given Discharge through Critical Depth Flume is defined as ratio of actual to theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Discharge Coefficient given Discharge through Critical Depth Flume using this online calculator? To use this online calculator for Discharge Coefficient given Discharge through Critical Depth Flume, enter Discharge of Channel (Q), Width of Throat (W_t) & Depth of Flow (d_f) and hit the calculate button. Here is how the Discharge Coefficient given Discharge through Critical Depth Flume calculation can be explained with given input values -> 0.778459 = 14/(3.5*(3.3^1.5)).

FAQ

What is Discharge Coefficient given Discharge through Critical Depth Flume?

The Discharge Coefficient given Discharge through Critical Depth Flume is defined as ratio of actual to theoretical discharge and is represented as C_d = Q/(W_t*(d_f^1.5)) or Coefficient of Discharge = Discharge of Channel/(Width of Throat*(Depth of Flow^1.5)). Discharge of Channel is the rate of flow of a liquid, Width of Throat of the parshall flume is denoted by W symbol & Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

How to calculate Discharge Coefficient given Discharge through Critical Depth Flume?

The Discharge Coefficient given Discharge through Critical Depth Flume is defined as ratio of actual to theoretical discharge is calculated using Coefficient of Discharge = Discharge of Channel/(Width of Throat*(Depth of Flow^1.5)). To calculate Discharge Coefficient given Discharge through Critical Depth Flume, you need Discharge of Channel (Q), Width of Throat (W_t) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Discharge of Channel, Width of Throat & Depth of Flow 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 Coefficient of Discharge?

In this formula, Coefficient of Discharge uses Discharge of Channel, Width of Throat & Depth of Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)))))
Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)))))

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