Depth of Flow 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%
✖The 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 given Discharge through Critical Depth Flume [d_f]

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Depth of Flow given Discharge through Critical Depth Flume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3)
d_f = (Q/(W_t*C_d))^(2/3)
This formula uses 4 Variables

Variables Used

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.
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.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

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
Coefficient of Discharge: 0.66 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = (Q/(W_t*C_d))^(2/3) --> (14/(3.5*0.66))^(2/3)

Evaluating ... ...

d_f = 3.3241251832925

STEP 3: Convert Result to Output's Unit

3.3241251832925 Meter --> No Conversion Required

FINAL ANSWER

3.3241251832925 ≈ 3.324125 Meter <-- Depth of Flow

(Calculation completed in 00.004 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

Depth of Flow given Discharge through Critical Depth Flume Formula

LaTeX Go

Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3)
d_f = (Q/(W_t*C_d))^(2/3)

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 Depth of Flow given Discharge through Critical Depth Flume?

Depth of Flow given Discharge through Critical Depth Flume calculator uses Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3) to calculate the Depth of Flow, The Depth of Flow given Discharge through Critical Depth Flume is defined as the amount of liquid at any section in channel. Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Flow given Discharge through Critical Depth Flume using this online calculator? To use this online calculator for Depth of Flow given Discharge through Critical Depth Flume, enter Discharge of Channel (Q), Width of Throat (W_t) & Coefficient of Discharge (C_d) and hit the calculate button. Here is how the Depth of Flow given Discharge through Critical Depth Flume calculation can be explained with given input values -> 3.683906 = (14/(3.5*0.66))^(2/3).

FAQ

What is Depth of Flow given Discharge through Critical Depth Flume?

The Depth of Flow given Discharge through Critical Depth Flume is defined as the amount of liquid at any section in channel and is represented as d_f = (Q/(W_t*C_d))^(2/3) or Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3). Discharge of Channel is the rate of flow of a liquid, Width of Throat of the parshall flume is denoted by W symbol & The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

How to calculate Depth of Flow given Discharge through Critical Depth Flume?

The Depth of Flow given Discharge through Critical Depth Flume is defined as the amount of liquid at any section in channel is calculated using Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3). To calculate Depth of Flow given Discharge through Critical Depth Flume, you need Discharge of Channel (Q), Width of Throat (W_t) & Coefficient of Discharge (C_d). With our tool, you need to enter the respective value for Discharge of Channel, Width of Throat & Coefficient of Discharge 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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