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Critical Depth using Critical Velocity Formula

GoCritical depth considering flow in open channels Formula

GoCritical depth considering minimum specific energy Formula

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Critical depth for flow in open channel is defined as the depth of flow where energy is at a minimum for a particular discharge in the open channel. Check FAQs

h c = \frac{{V c}^{2}}{[g]}

h_c - Critical Depth for Flow in Open Channel?V_c - Critical Velocity for Flow in Open Channel?[g] - Gravitational acceleration on Earth?

Critical Depth using Critical Velocity Example

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Here is how the Critical Depth using Critical Velocity equation looks like with Values.

Here is how the Critical Depth using Critical Velocity equation looks like with Units.

Here is how the Critical Depth using Critical Velocity equation looks like.

0.3877 = \frac{{1.95}^{2}}{9.8066}

0.3877m = \frac{{1.95m/s}^{2}}{9.8066m/s²}

0.3877 = \frac{{1.95}^{2}}{9.8066}

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Critical Depth using Critical Velocity Solution

Follow our step by step solution on how to calculate Critical Depth using Critical Velocity?

FIRST Step Consider the formula

h c = \frac{{V c}^{2}}{[g]}

Next Step Substitute values of Variables

∴

h c = \frac{{1.95m/s}^{2}}{[g]}

Next Step Substitute values of Constants

∴

h c = \frac{{1.95m/s}^{2}}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

h c = \frac{{1.95}^{2}}{9.8066}

Next Step Evaluate

∴

h c = 0.387747089984857m

LAST Step Rounding Answer

∴

h c = 0.3877m

Critical Depth using Critical Velocity Formula Elements

Variables

Constants

Critical Depth for Flow in Open Channel

Critical depth for flow in open channel is defined as the depth of flow where energy is at a minimum for a particular discharge in the open channel.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth for Flow in Open Channel

Critical Velocity for Flow in Open Channel

Critical velocity for flow in open channel 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 should be greater than 0.

Formulas to find Critical Velocity for Flow in Open Channel

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Critical Depth for Flow in Open Channel

Go Critical depth considering flow in open channels

h c = {(\frac{q^{2}}{[g]})}^{\frac{1}{3}}

Go Critical depth considering minimum specific energy

h c = (\frac{2}{3}) \cdot E min

Other formulas in Flow in Open Channels category

Go Velocity of Chezy's formula

v = C \cdot \sqrt{m \cdot i}

Go Chezy's constant considering velocity

C = \frac{v}{\sqrt{m \cdot i}}

Go Hydraulic mean depth using Chezy's formula

m = (\frac{1}{i}) \cdot {(\frac{v}{C})}^{2}

Go Chezy's constant considering Bazin formula

C = \frac{157.6}{1.81 + (\frac{K}{\sqrt{m}})}

How to Evaluate Critical Depth using Critical Velocity?

Critical Depth using Critical Velocity evaluator uses Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g] to evaluate the Critical Depth for Flow in Open Channel, The Critical depth using critical velocity formula is known while considering the square of the critical velocity to the gravity. Critical Depth for Flow in Open Channel is denoted by h_c symbol.

How to evaluate Critical Depth using Critical Velocity using this online evaluator? To use this online evaluator for Critical Depth using Critical Velocity, enter Critical Velocity for Flow in Open Channel (V_c) and hit the calculate button.

FAQs on Critical Depth using Critical Velocity

What is the formula to find Critical Depth using Critical Velocity?

The formula of Critical Depth using Critical Velocity is expressed as Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]. Here is an example- 0.387747 = (1.95^2)/[g].

How to calculate Critical Depth using Critical Velocity?

With Critical Velocity for Flow in Open Channel (V_c) we can find Critical Depth using Critical Velocity using the formula - Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Critical Depth for Flow in Open Channel?

Here are the different ways to Calculate Critical Depth for Flow in Open Channel-

Critical Depth for Flow in Open Channel=((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3)
Critical Depth for Flow in Open Channel=(2/3)*Minimum Specific Energy for Open Channel Flow

Can the Critical Depth using Critical Velocity be negative?

No, the Critical Depth using Critical Velocity, measured in Length cannot be negative.

Which unit is used to measure Critical Depth using Critical Velocity?

Critical Depth using Critical Velocity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Critical Depth using Critical Velocity can be measured.

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