Discharge through Control Section Calculator

✖Width of throat of the parshall flume is denoted by W symbol.ⓘ Width of throat [W_t]			+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%
✖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%

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Discharge through Control Section [Q_e]

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Formula

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Discharge through Control Section

Formula

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

Example

`"180m³/s"="3m"*"15m/s"*"4m"`

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Discharge through Control Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Environmental Discharge = Width of throat*Critical Velocity*Critical Depth
Q_e = W_t*V_c*CD
This formula uses 4 Variables

Variables Used

Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Width of throat: 3 Meter --> 3 Meter No Conversion Required
Critical Velocity: 15 Meter per Second --> 15 Meter per Second No Conversion Required
Critical Depth: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_e = W_t*V_c*CD --> 3*15*4

Evaluating ... ...

Q_e = 180

STEP 3: Convert Result to Output's Unit

180 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

180 Cubic Meter per Second <-- Environmental Discharge

(Calculation completed in 00.004 seconds)

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Credits

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

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 7 Discharge in Channel Calculators

Discharge for Rectangular Channel Section using manning's equation

Go Environmental Discharge = Area Of Cross Section*(Hydraulic radius^(2/3))*(Slope of bed^(1/2))/Manning’s Roughness Coefficient

Discharge given Critical Depth

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

Discharge Coefficient with known discharge

Go Discharge coefficient = log(Theoretical Discharge/Integration Constant,Depth)

Discharge Passing through Parshall Flume given Discharge Coefficient

Go Environmental Discharge = Integration Constant*(Depth)^(Discharge coefficient)

Discharge through Control Section

Go Environmental Discharge = Width of throat*Critical Velocity*Critical Depth

Maximum Discharge given Width of Throat

Go Peak Discharge = Width of throat*Critical Velocity*Critical Depth

Discharge given Flow Area of Throat

Go Environmental Discharge = Flow area of throat*Critical Velocity

Discharge through Control Section Formula

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

What is discharge ?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate. Discharge is also expressed as mass flow rate and weight flow rate.

How to Calculate Discharge through Control Section?

Discharge through Control Section calculator uses Environmental Discharge = Width of throat*Critical Velocity*Critical Depth to calculate the Environmental Discharge, The Discharge through Control Section calculates the discharge when we have prior information of other parameters. Environmental Discharge is denoted by Q_e symbol.

How to calculate Discharge through Control Section using this online calculator? To use this online calculator for Discharge through Control Section, enter Width of throat (W_t), Critical Velocity (V_c) & Critical Depth (CD) and hit the calculate button. Here is how the Discharge through Control Section calculation can be explained with given input values -> 180 = 3*15*4.

FAQ

What is Discharge through Control Section?

The Discharge through Control Section calculates the discharge when we have prior information of other parameters and is represented as Q_e = W_t*V_c*CD or Environmental Discharge = Width of throat*Critical Velocity*Critical Depth. Width of throat of the parshall flume is denoted by W symbol, The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent & 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.

How to calculate Discharge through Control Section?

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

In this formula, Environmental Discharge uses Width of throat, Critical Velocity & Critical Depth. We can use 4 other way(s) to calculate the same, which is/are as follows -

Environmental Discharge = Integration Constant*(Depth)^(Discharge coefficient)
Environmental Discharge = Area Of Cross Section*(Hydraulic radius^(2/3))*(Slope of bed^(1/2))/Manning’s Roughness Coefficient
Environmental Discharge = Flow area of throat*Critical Velocity
Environmental Discharge = sqrt(((Critical Depth)^3)*Acceleration due to Gravity*(Width of throat)^2)

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