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Critical depth considering flow in open channels Formula

GoCritical depth considering minimum specific energy Formula

GoCritical Depth using Critical Velocity 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{q^{2}}{[g]})}^{\frac{1}{3}}

h_c - Critical Depth for Flow in Open Channel?q - Discharge Per Unit Width in Open Channel?[g] - Gravitational acceleration on Earth?

Critical depth considering flow in open channels Example

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Here is how the Critical depth considering flow in open channels equation looks like with Values.

Here is how the Critical depth considering flow in open channels equation looks like with Units.

Here is how the Critical depth considering flow in open channels equation looks like.

0.3891 = {(\frac{{0.76}^{2}}{9.8066})}^{\frac{1}{3}}

0.3891m = {(\frac{{0.76m²/s}^{2}}{9.8066m/s²})}^{\frac{1}{3}}

0.3891 = {(\frac{{0.76}^{2}}{9.8066})}^{\frac{1}{3}}

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Critical depth considering flow in open channels Solution

Follow our step by step solution on how to calculate Critical depth considering flow in open channels?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h c = {(\frac{{0.76m²/s}^{2}}{[g]})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

h c = {(\frac{{0.76m²/s}^{2}}{9.8066m/s²})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h c = {(\frac{{0.76}^{2}}{9.8066})}^{\frac{1}{3}}

Next Step Evaluate

∴

h c = 0.389076950216098m

LAST Step Rounding Answer

∴

h c = 0.3891m

Critical depth considering flow in open channels 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

Discharge Per Unit Width in Open Channel

Discharge per unit width in open channel is the ratio of total discharge in the channel to the width considered.

Symbol: q

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Discharge Per Unit Width 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 minimum specific energy

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

Go Critical Depth using Critical Velocity

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

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 considering flow in open channels?

Critical depth considering flow in open channels evaluator uses Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3) to evaluate the Critical Depth for Flow in Open Channel, The Critical depth considering flow in open channels is known while considering the square of discharge per unit depth of the flow considering the gravity. Critical Depth for Flow in Open Channel is denoted by h_c symbol.

How to evaluate Critical depth considering flow in open channels using this online evaluator? To use this online evaluator for Critical depth considering flow in open channels, enter Discharge Per Unit Width in Open Channel (q) and hit the calculate button.

FAQs on Critical depth considering flow in open channels

What is the formula to find Critical depth considering flow in open channels?

The formula of Critical depth considering flow in open channels is expressed as Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3). Here is an example- 0.389077 = ((0.76^2)/[g])^(1/3).

How to calculate Critical depth considering flow in open channels?

With Discharge Per Unit Width in Open Channel (q) we can find Critical depth considering flow in open channels using the formula - Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3). 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=(2/3)*Minimum Specific Energy for Open Channel Flow
Critical Depth for Flow in Open Channel=(Critical Velocity for Flow in Open Channel^2)/[g]

Can the Critical depth considering flow in open channels be negative?

No, the Critical depth considering flow in open channels, measured in Length cannot be negative.

Which unit is used to measure Critical depth considering flow in open channels?

Critical depth considering flow in open channels is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Critical depth considering flow in open channels can be measured.

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