Discharge through Critical Depth Flume Calculator

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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%

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge through Critical Depth Flume [Q]

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Discharge through Critical Depth Flume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
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

Coefficient of Discharge: 0.66 --> 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

Q = C_d*W_t*(d_f^1.5) --> 0.66*3.5*(3.3^1.5)

Evaluating ... ...

Q = 13.8478671895711

STEP 3: Convert Result to Output's Unit

13.8478671895711 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

13.8478671895711 ≈ 13.84787 Cubic Meter per Second <-- Discharge of Channel

(Calculation completed in 00.021 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Metering Flumes Calculators

Coefficient of Discharge through Flume given Discharge Flow through Channel

LaTeX 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)))))

Discharge Flow through Channel

LaTeX 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))))

Head at Entrance of Section given Discharge Flow through Channel

LaTeX 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

LaTeX 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

Discharge through Critical Depth Flume Formula

LaTeX Go

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

Discharge through Critical Depth Flume calculator uses Discharge of Channel = Coefficient of Discharge*Width of Throat*(Depth of Flow^1.5) to calculate the Discharge of Channel, The Discharge through Critical Depth Flume is defined as the amount of liquid flowing through a section in any time. Discharge of Channel is denoted by Q symbol.

How to calculate Discharge through Critical Depth Flume using this online calculator? To use this online calculator for Discharge through Critical Depth Flume, enter Coefficient of Discharge (C_d), Width of Throat (W_t) & Depth of Flow (d_f) and hit the calculate button. Here is how the Discharge through Critical Depth Flume calculation can be explained with given input values -> 11.8696 = 0.66*3.5*(3.3^1.5).

FAQ

What is Discharge through Critical Depth Flume?

The Discharge through Critical Depth Flume is defined as the amount of liquid flowing through a section in any time and is represented as Q = C_d*W_t*(d_f^1.5) or Discharge of Channel = Coefficient of Discharge*Width of Throat*(Depth of Flow^1.5). The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, 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 through Critical Depth Flume?

The Discharge through Critical Depth Flume is defined as the amount of liquid flowing through a section in any time is calculated using Discharge of Channel = Coefficient of Discharge*Width of Throat*(Depth of Flow^1.5). To calculate Discharge through Critical Depth Flume, you need Coefficient of Discharge (C_d), Width of Throat (W_t) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Coefficient of Discharge, 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 Discharge of Channel?

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

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 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))))

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