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Critical Velocity given Discharge Formula

GoCritical Velocity given Total Energy at Critical Point Formula

GoCritical Velocity given Head Loss Formula

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The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent. Check FAQs

V c = (\frac{Q e}{F area})

V_c - Critical Velocity?Q_e - Environmental Discharge?F_area - Flow Area of Throat?

Critical Velocity given Discharge Example

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Here is how the Critical Velocity given Discharge equation looks like with Values.

Here is how the Critical Velocity given Discharge equation looks like with Units.

Here is how the Critical Velocity given Discharge equation looks like.

5.0662 = (\frac{39.82}{7.86})

5.0662m/s = (\frac{39.82m³/s}{7.86m²})

5.0662 = (\frac{39.82}{7.86})

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Critical Velocity given Discharge Solution

Follow our step by step solution on how to calculate Critical Velocity given Discharge?

FIRST Step Consider the formula

V c = (\frac{Q e}{F area})

Next Step Substitute values of Variables

∴

V c = (\frac{39.82m³/s}{7.86m²})

Next Step Prepare to Evaluate

∴

V c = (\frac{39.82}{7.86})

Next Step Evaluate

∴

V c = 5.06615776081425m/s

LAST Step Rounding Answer

∴

V c = 5.0662m/s

Critical Velocity given Discharge Formula Elements

Variables

Critical Velocity

The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.

Symbol: V_c

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Critical Velocity

Environmental Discharge

Environmental Discharge is the rate of flow of a liquid.

Symbol: Q_e

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Environmental Discharge

Flow Area of Throat

Flow Area of Throat is the area of throat through which flow is occurring.

Symbol: F_area

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Flow Area of Throat

Other Formulas to find Critical Velocity

Go Critical Velocity given Total Energy at Critical Point

V c = \sqrt{2 \cdot g \cdot (E c - (d c + h f))}

Go Critical Velocity given Head Loss

V c = {(\frac{h f \cdot 2 \cdot g}{0.1})}^{\frac{1}{2}}

Go Critical Velocity given Critical Depth in Control Section

V c = \sqrt{d c \cdot g}

Go Critical Velocity given Depth of Section

V c = \sqrt{\frac{d \cdot g}{1.55}}

How to Evaluate Critical Velocity given Discharge?

Critical Velocity given Discharge evaluator uses Critical Velocity = (Environmental Discharge/Flow Area of Throat) to evaluate the Critical Velocity, The Critical Velocity given Discharge formula is defined as the measure of the value 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, considering that we have an information about the discharge value. Critical Velocity is denoted by V_c symbol.

How to evaluate Critical Velocity given Discharge using this online evaluator? To use this online evaluator for Critical Velocity given Discharge, enter Environmental Discharge (Q_e) & Flow Area of Throat (F_area) and hit the calculate button.

FAQs on Critical Velocity given Discharge

What is the formula to find Critical Velocity given Discharge?

The formula of Critical Velocity given Discharge is expressed as Critical Velocity = (Environmental Discharge/Flow Area of Throat). Here is an example- 15.31538 = (39.82/7.86).

How to calculate Critical Velocity given Discharge?

With Environmental Discharge (Q_e) & Flow Area of Throat (F_area) we can find Critical Velocity given Discharge using the formula - Critical Velocity = (Environmental Discharge/Flow Area of Throat).

What are the other ways to Calculate Critical Velocity?

Here are the different ways to Calculate Critical Velocity-

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(Critical Depth*Acceleration due to Gravity)

Can the Critical Velocity given Discharge be negative?

Yes, the Critical Velocity given Discharge, measured in Speed can be negative.

Which unit is used to measure Critical Velocity given Discharge?

Critical Velocity given Discharge is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Critical Velocity given Discharge can be measured.

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