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Critical Velocity given Head Loss Formula

GoCritical Velocity given Total Energy at Critical Point Formula

GoCritical Velocity given Critical Depth in Control Section 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{h f \cdot 2 \cdot g}{0.1})}^{\frac{1}{2}}

V_c - Critical Velocity?h_f - Head Loss?g - Acceleration due to Gravity?

Critical Velocity given Head Loss Example

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

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

Here is how the Critical Velocity given Head Loss equation looks like.

5.0478 = {(\frac{0.13 \cdot 2 \cdot 9.8}{0.1})}^{\frac{1}{2}}

5.0478m/s = {(\frac{0.13m \cdot 2 \cdot 9.8m/s²}{0.1})}^{\frac{1}{2}}

5.0478 = {(\frac{0.13 \cdot 2 \cdot 9.8}{0.1})}^{\frac{1}{2}}

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Critical Velocity given Head Loss Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V c = {(\frac{0.13m \cdot 2 \cdot 9.8m/s²}{0.1})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

V c = {(\frac{0.13 \cdot 2 \cdot 9.8}{0.1})}^{\frac{1}{2}}

Next Step Evaluate

∴

V c = 5.04777178564959m/s

LAST Step Rounding Answer

∴

V c = 5.0478m/s

Critical Velocity given Head Loss 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

Head Loss

Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss

Acceleration due to Gravity

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.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

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 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}}

Go Critical Velocity given Discharge through Control Section

V c = (\frac{Q e}{W t \cdot d c})

How to Evaluate Critical Velocity given Head Loss?

Critical Velocity given Head Loss evaluator uses Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2) to evaluate the Critical Velocity, The Critical Velocity given Head Loss 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, considering that we have the prior information of the head loss. Critical Velocity is denoted by V_c symbol.

How to evaluate Critical Velocity given Head Loss using this online evaluator? To use this online evaluator for Critical Velocity given Head Loss, enter Head Loss (h_f) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Critical Velocity given Head Loss

What is the formula to find Critical Velocity given Head Loss?

The formula of Critical Velocity given Head Loss is expressed as Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2). Here is an example- 14.94791 = ((0.13*2*9.8)/0.1)^(1/2).

How to calculate Critical Velocity given Head Loss?

With Head Loss (h_f) & Acceleration due to Gravity (g) we can find Critical Velocity given Head Loss using the formula - Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2).

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

Can the Critical Velocity given Head Loss be negative?

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

Which unit is used to measure Critical Velocity given Head Loss?

Critical Velocity given Head Loss 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 Head Loss can be measured.

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