Width of Throat given Discharge through Critical Depth Flume Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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%

✖Width of Throat of the parshall flume is denoted by W symbol.ⓘ Width of Throat given Discharge through Critical Depth Flume [W_t]

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Formula

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Width of Throat given Discharge through Critical Depth Flume

Formula

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

Example

`"3.538451m"="14m³/s"/("0.66"*(("3.3m")^1.5))`

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Download Metering Flumes and Momentum in Open-Channel Flow Specific Force Formulas PDF

Width of Throat given Discharge through Critical Depth Flume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Width of Throat - (Measured in Meter) - Width of Throat of the parshall flume is denoted by W symbol.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Coefficient of Discharge - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.
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
Coefficient of Discharge: 0.66 --> No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_t = Q/(C_d*(d_f^1.5)) --> 14/(0.66*(3.3^1.5))

Evaluating ... ...

W_t = 3.53845103575965

STEP 3: Convert Result to Output's Unit

3.53845103575965 Meter --> No Conversion Required

FINAL ANSWER

3.53845103575965 ≈ 3.538451 Meter <-- Width of Throat

(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)

Width of Throat given Discharge through Critical Depth Flume Formula

Width of Throat = Discharge of Channel/(Coefficient of Discharge*(Depth of Flow^1.5))
W_t = Q/(C_d*(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 Width of Throat given Discharge through Critical Depth Flume?

Width of Throat given Discharge through Critical Depth Flume calculator uses Width of Throat = Discharge of Channel/(Coefficient of Discharge*(Depth of Flow^1.5)) to calculate the Width of Throat, The Width of Throat given Discharge through Critical Depth Flume is defined as thickness at a section in channel. Width of Throat is denoted by W_t symbol.

How to calculate Width of Throat given Discharge through Critical Depth Flume using this online calculator? To use this online calculator for Width of Throat given Discharge through Critical Depth Flume, enter Discharge of Channel (Q), Coefficient of Discharge (C_d) & Depth of Flow (d_f) and hit the calculate button. Here is how the Width of Throat given Discharge through Critical Depth Flume calculation can be explained with given input values -> 3.538451 = 14/(0.66*(3.3^1.5)).

FAQ

What is Width of Throat given Discharge through Critical Depth Flume?

The Width of Throat given Discharge through Critical Depth Flume is defined as thickness at a section in channel and is represented as W_t = Q/(C_d*(d_f^1.5)) or Width of Throat = Discharge of Channel/(Coefficient of Discharge*(Depth of Flow^1.5)). Discharge of Channel is the rate of flow of a liquid, Coefficient of Discharge is ratio of Actual discharge to theoretical discharge & 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 Width of Throat given Discharge through Critical Depth Flume?

The Width of Throat given Discharge through Critical Depth Flume is defined as thickness at a section in channel is calculated using Width of Throat = Discharge of Channel/(Coefficient of Discharge*(Depth of Flow^1.5)). To calculate Width of Throat given Discharge through Critical Depth Flume, you need Discharge of Channel (Q), Coefficient of Discharge (C_d) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Discharge of Channel, Coefficient of Discharge & Depth of Flow 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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