Critical Depth at Different Discharges Calculator

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Width of throat of the parshall flume is denoted by W symbol.ⓘ Width of throat [W_t]			+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 at Different Discharges [CD]

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Formula

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Critical Depth at Different Discharges

Formula

`"CD" = (("Q"_{"e"})^2/("g"*("W"_{"t"})^2))^(1/3)`

Example

`"2.627547m"=(("40m³/s")^2/("9.8m/s²"*("3m")^2))^(1/3)`

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Critical Depth at Different Discharges Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of throat)^2))^(1/3)
CD = ((Q_e)^2/(g*(W_t)^2))^(1/3)
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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Width of throat - (Measured in Meter) - Width of throat of the parshall flume is denoted by W symbol.

STEP 1: Convert Input(s) to Base Unit

Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Width of throat: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CD = ((Q_e)^2/(g*(W_t)^2))^(1/3) --> ((40)^2/(9.8*(3)^2))^(1/3)

Evaluating ... ...

CD = 2.62754683464869

STEP 3: Convert Result to Output's Unit

2.62754683464869 Meter --> No Conversion Required

FINAL ANSWER

2.62754683464869 ≈ 2.627547 Meter <-- Critical Depth

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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National Institute of Technology (NIT), Warangal

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< 5 Critical Depth Calculators

Critical Depth at Different Discharges

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

Critical Depth given Discharge through Control Section

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

Critical Depth given Maximum Discharge

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

Critical Depth in Control Section

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

Critical Depth given Depth of Parabolic Channel

Go Critical Depth = (Depth/1.55)

Critical Depth at Different Discharges Formula

Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of throat)^2))^(1/3)
CD = ((Q_e)^2/(g*(W_t)^2))^(1/3)

What is critical depth ?

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

How to Calculate Critical Depth at Different Discharges?

Critical Depth at Different Discharges calculator uses Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of throat)^2))^(1/3) to calculate the Critical Depth, The Critical Depth at Different Discharges is defined as the depth of flow where energy is at a minimum for a particular discharge. Critical Depth is denoted by CD symbol.

How to calculate Critical Depth at Different Discharges using this online calculator? To use this online calculator for Critical Depth at Different Discharges, enter Environmental Discharge (Q_e), Acceleration due to Gravity (g) & Width of throat (W_t) and hit the calculate button. Here is how the Critical Depth at Different Discharges calculation can be explained with given input values -> 2.627547 = ((40)^2/(9.8*(3)^2))^(1/3).

FAQ

What is Critical Depth at Different Discharges?

The Critical Depth at Different Discharges is defined as the depth of flow where energy is at a minimum for a particular discharge and is represented as CD = ((Q_e)^2/(g*(W_t)^2))^(1/3) or Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of throat)^2))^(1/3). Environmental Discharge is the rate of flow of a liquid, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Width of throat of the parshall flume is denoted by W symbol.

How to calculate Critical Depth at Different Discharges?

The Critical Depth at Different Discharges is defined as the depth of flow where energy is at a minimum for a particular discharge is calculated using Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of throat)^2))^(1/3). To calculate Critical Depth at Different Discharges, you need Environmental Discharge (Q_e), Acceleration due to Gravity (g) & Width of throat (W_t). With our tool, you need to enter the respective value for Environmental Discharge, Acceleration due to Gravity & Width of throat 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, Acceleration due to Gravity & Width of throat. We can use 4 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/(Width of throat*Critical Velocity))
Critical Depth = (Depth/1.55)
Critical Depth = (Peak Discharge/(Width of throat*Critical Velocity))

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