Width of Throat given Discharge through Control Section Calculator

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖Critical depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.ⓘ Critical Depth [CD]			+10% -10%
✖The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.ⓘ Critical Velocity [V_c]			+10% -10%

✖Width of throat of the parshall flume is denoted by W symbol.ⓘ Width of Throat given Discharge through Control Section [W_t]

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Width of Throat given Discharge through Control Section

Formula

`"W"_{"t"} = ("Q"_{"e"}/("CD"*"V"_{"c"}))`

Example

`"0.666667m"=("40m³/s"/("4m"*"15m/s"))`

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Width of Throat given Discharge through Control Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of throat = (Environmental Discharge/(Critical Depth*Critical Velocity))
W_t = (Q_e/(CD*V_c))
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.
Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge is the rate of flow of a liquid.
Critical Depth - (Measured in Meter) - Critical depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.
Critical Velocity - (Measured in Meter per Second) - The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.

STEP 1: Convert Input(s) to Base Unit

Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Critical Depth: 4 Meter --> 4 Meter No Conversion Required
Critical Velocity: 15 Meter per Second --> 15 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_t = (Q_e/(CD*V_c)) --> (40/(4*15))

Evaluating ... ...

W_t = 0.666666666666667

STEP 3: Convert Result to Output's Unit

0.666666666666667 Meter --> No Conversion Required

FINAL ANSWER

0.666666666666667 ≈ 0.666667 Meter <-- Width of throat

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 4 Width of Channel Calculators

Width of Throat given Critical Depth

Go Width of throat = sqrt((Environmental Discharge)^2/(Acceleration due to Gravity*(Critical Depth)^3))

Width of Throat given Discharge through Control Section

Go Width of throat = (Environmental Discharge/(Critical Depth*Critical Velocity))

Width of Throat given Maximum Discharge

Go Width of throat = (Peak Discharge/(Critical Depth*Critical Velocity))

Width of Parabolic Channel

Go Width = (1.5*Area Of Cross Section)/Depth

Width of Throat given Discharge through Control Section Formula

Width of throat = (Environmental Discharge/(Critical Depth*Critical Velocity))
W_t = (Q_e/(CD*V_c))

What is critical velocity?

Critical velocity is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object.

How to Calculate Width of Throat given Discharge through Control Section?

Width of Throat given Discharge through Control Section calculator uses Width of throat = (Environmental Discharge/(Critical Depth*Critical Velocity)) to calculate the Width of throat, The Width of Throat given Discharge through Control Section calculates the width of the throat when we have prior information of other parameters. Width of throat is denoted by W_t symbol.

How to calculate Width of Throat given Discharge through Control Section using this online calculator? To use this online calculator for Width of Throat given Discharge through Control Section, enter Environmental Discharge (Q_e), Critical Depth (CD) & Critical Velocity (V_c) and hit the calculate button. Here is how the Width of Throat given Discharge through Control Section calculation can be explained with given input values -> 0.666667 = (40/(4*15)).

FAQ

What is Width of Throat given Discharge through Control Section?

The Width of Throat given Discharge through Control Section calculates the width of the throat when we have prior information of other parameters and is represented as W_t = (Q_e/(CD*V_c)) or Width of throat = (Environmental Discharge/(Critical Depth*Critical Velocity)). Environmental Discharge is the rate of flow of a liquid, Critical depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head & The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.

How to calculate Width of Throat given Discharge through Control Section?

The Width of Throat given Discharge through Control Section calculates the width of the throat when we have prior information of other parameters is calculated using Width of throat = (Environmental Discharge/(Critical Depth*Critical Velocity)). To calculate Width of Throat given Discharge through Control Section, you need Environmental Discharge (Q_e), Critical Depth (CD) & Critical Velocity (V_c). With our tool, you need to enter the respective value for Environmental Discharge, Critical Depth & Critical Velocity 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 Width of throat?

In this formula, Width of throat uses Environmental Discharge, Critical Depth & Critical Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Width of throat = sqrt((Environmental Discharge)^2/(Acceleration due to Gravity*(Critical Depth)^3))
Width of throat = (Peak Discharge/(Critical Depth*Critical Velocity))

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