HCF of three numbers

Critical Depth at Different Discharges 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%
✖Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.ⓘ Acceleration due to Gravity [g]			+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%

✖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 [d_c]

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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)
d_c = ((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 a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.
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.

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
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

d_c = ((Q_e)^2/(g*(W_t)^2))^(1/3) --> ((39.82)^2/(9.8*(3)^2))^(1/3)

Evaluating ... ...

d_c = 2.61965827030927

STEP 3: Convert Result to Output's Unit

2.61965827030927 Meter --> No Conversion Required

FINAL ANSWER

2.61965827030927 ≈ 2.619658 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 at Different Discharges Formula

LaTeX Go

Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3)
d_c = ((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 formula is defined as the depth of flow where energy is at a minimum for a particular discharge. Critical Depth is denoted by d_c 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 = ((39.82)^2/(9.8*(3)^2))^(1/3).

FAQ

What is Critical Depth at Different Discharges?

The Critical Depth at Different Discharges formula is defined as the depth of flow where energy is at a minimum for a particular discharge and is represented as d_c = ((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 a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth & Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume.

How to calculate Critical Depth at Different Discharges?

The Critical Depth at Different Discharges formula 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 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/(Width of Throat*Critical Velocity))
Critical Depth = (Depth/1.55)

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