✖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 [d_c]			+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%

✖The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.ⓘ Critical Velocity given Critical Depth in Control Section [V_c]

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Critical Velocity given Critical Depth in Control Section

Formula

`"V"_{"c"} = sqrt("d"_{"c"}*"g")`

Example

`"5.067149m/s"=sqrt("2.62m"*"9.8m/s²")`

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Critical Velocity given Critical Depth in Control Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
V_c = sqrt(d_c*g)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Critical Depth: 2.62 Meter --> 2.62 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = sqrt(d_c*g) --> sqrt(2.62*9.8)

Evaluating ... ...

V_c = 5.06714909983908

STEP 3: Convert Result to Output's Unit

5.06714909983908 Meter per Second --> No Conversion Required

FINAL ANSWER

5.06714909983908 ≈ 5.067149 Meter per Second <-- Critical Velocity

(Calculation completed in 00.004 seconds)

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< 7 Critical Velocity Calculators

Critical Velocity given Total Energy at Critical Point

Go Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss)))

Critical Velocity given Discharge through Control Section

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

Critical Velocity given Maximum Discharge

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

Critical Velocity given Critical Depth in Control Section

Go Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)

Critical Velocity given Depth of Section

Go Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)

Critical Velocity given Head Loss

Go Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)

Critical Velocity given Discharge

Go Critical Velocity = (Environmental Discharge/Flow Area of Throat)

Critical Velocity given Critical Depth in Control Section Formula

Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
V_c = sqrt(d_c*g)

What is Critical Velocity?

The velocity at which flow transitions from being subcritical to supercritical. In open channel flow, critical velocity occurs when the flow's kinetic energy is equal to the potential energy. It's a point where the flow is neither too fast nor too slow, and it determines the efficiency and behavior of the channel.

How to Calculate Critical Velocity given Critical Depth in Control Section?

Critical Velocity given Critical Depth in Control Section calculator uses Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity) to calculate the Critical Velocity, The Critical Velocity given Critical Depth in Control Section formula is defined as the measure of the velocity at which flow transitions from being subcritical to supercritical. In open channel flow, critical velocity occurs when the flow's kinetic energy is equal to the potential energy. Critical Velocity is denoted by V_c symbol.

How to calculate Critical Velocity given Critical Depth in Control Section using this online calculator? To use this online calculator for Critical Velocity given Critical Depth in Control Section, enter Critical Depth (d_c) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Critical Velocity given Critical Depth in Control Section calculation can be explained with given input values -> 5.067149 = sqrt(2.62*9.8).

FAQ

What is Critical Velocity given Critical Depth in Control Section?

The Critical Velocity given Critical Depth in Control Section formula is defined as the measure of the velocity at which flow transitions from being subcritical to supercritical. In open channel flow, critical velocity occurs when the flow's kinetic energy is equal to the potential energy and is represented as V_c = sqrt(d_c*g) or Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity). 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 & 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.

How to calculate Critical Velocity given Critical Depth in Control Section?

The Critical Velocity given Critical Depth in Control Section formula is defined as the measure of the velocity at which flow transitions from being subcritical to supercritical. In open channel flow, critical velocity occurs when the flow's kinetic energy is equal to the potential energy is calculated using Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity). To calculate Critical Velocity given Critical Depth in Control Section, you need Critical Depth (d_c) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Critical Depth & Acceleration due to Gravity 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 Velocity?

In this formula, Critical Velocity uses Critical Depth & Acceleration due to Gravity. We can use 6 other way(s) to calculate the same, which is/are as follows -

Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss)))
Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)
Critical Velocity = (Environmental Discharge/(Width of Throat*Critical Depth))
Critical Velocity = (Environmental Discharge/Flow Area of Throat)
Critical Velocity = (Peak Discharge/(Width of Throat*Critical Depth))

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