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Critical Depth given Discharge through Control Section Calculator

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Critical Depth Critical Velocity Depth of Channel Discharge in Channel More >>

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume.ⓘ 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 given Discharge through Control Section [d_c]

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Critical Depth given Discharge through Control Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity))
d_c = (Q_e/(W_t*V_c))
This formula uses 4 Variables

Variables Used

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.
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 is the narrowest section of a conduit or channel, such as in a venturi meter or flume.
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: 39.82 Cubic Meter per Second --> 39.82 Cubic Meter per Second No Conversion Required
Width of Throat: 3 Meter --> 3 Meter No Conversion Required
Critical Velocity: 5.06 Meter per Second --> 5.06 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = (Q_e/(W_t*V_c)) --> (39.82/(3*5.06))

Evaluating ... ...

d_c = 2.6231884057971

STEP 3: Convert Result to Output's Unit

2.6231884057971 Meter --> No Conversion Required

FINAL ANSWER

2.6231884057971 ≈ 2.623188 Meter <-- Critical Depth

(Calculation completed in 00.020 seconds)

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< Critical Depth Calculators

Critical Depth at Different Discharges

LaTeX Go Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3)

Critical Depth given Discharge through Control Section

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

Critical Depth in Control Section

LaTeX Go Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)

Critical Depth given Depth of Parabolic Channel

LaTeX Go Critical Depth = (Depth/1.55)

Critical Depth given Discharge through Control Section Formula

LaTeX Go

Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity))
d_c = (Q_e/(W_t*V_c))

What is Critical Depth?

Critical depth is defined as the depth of flow where energy is at a minimum for a particular discharge. Critical depth is also the depth of maximum discharge, when the specific energy is held constant.

How to Calculate Critical Depth given Discharge through Control Section?

Critical Depth given Discharge through Control Section calculator uses Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity)) to calculate the Critical Depth, The Critical Depth given Discharge through Control Section formula is defined as the measure of the depth of flow in an open channel at which the specific energy (the sum of the flow energy and the elevation head) is minimized for a given discharge. Critical Depth is denoted by d_c symbol.

How to calculate Critical Depth given Discharge through Control Section using this online calculator? To use this online calculator for Critical Depth given Discharge through Control Section, enter Environmental Discharge (Q_e), Width of Throat (W_t) & Critical Velocity (V_c) and hit the calculate button. Here is how the Critical Depth given Discharge through Control Section calculation can be explained with given input values -> 2.635046 = (39.82/(3*5.06)).

FAQ

What is Critical Depth given Discharge through Control Section?

The Critical Depth given Discharge through Control Section formula is defined as the measure of the depth of flow in an open channel at which the specific energy (the sum of the flow energy and the elevation head) is minimized for a given discharge and is represented as d_c = (Q_e/(W_t*V_c)) or Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity)). Environmental Discharge is the rate of flow of a liquid, Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume & The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.

How to calculate Critical Depth given Discharge through Control Section?

The Critical Depth given Discharge through Control Section formula is defined as the measure of the depth of flow in an open channel at which the specific energy (the sum of the flow energy and the elevation head) is minimized for a given discharge is calculated using Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity)). To calculate Critical Depth given Discharge through Control Section, you need Environmental Discharge (Q_e), Width of Throat (W_t) & Critical Velocity (V_c). With our tool, you need to enter the respective value for Environmental Discharge, Width of Throat & 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 Critical Depth?

In this formula, Critical Depth uses Environmental Discharge, Width of Throat & Critical Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)
Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3)
Critical Depth = (Depth/1.55)

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