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Critical Depth for Rectangular Channel Formula

GoCritical Depth given Critical Energy for Rectangular Channel Formula

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The Critical Depth of Rectangular Channel is defined as the depth of flow where energy is at a minimum for a particular discharge. Check FAQs

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

h_r - Critical Depth of Rectangular Channel?q - Discharge per unit Width?[g] - Gravitational acceleration on Earth?

Critical Depth for Rectangular Channel Example

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Here is how the Critical Depth for Rectangular Channel equation looks like with Values.

Here is how the Critical Depth for Rectangular Channel equation looks like with Units.

Here is how the Critical Depth for Rectangular Channel equation looks like.

2.1829 = {(\frac{{10.1}^{2}}{9.8066})}^{\frac{1}{3}}

2.1829m = {(\frac{{10.1m²/s}^{2}}{9.8066m/s²})}^{\frac{1}{3}}

2.1829 = {(\frac{{10.1}^{2}}{9.8066})}^{\frac{1}{3}}

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Critical Depth for Rectangular Channel Solution

Follow our step by step solution on how to calculate Critical Depth for Rectangular Channel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h r = {(\frac{{10.1m²/s}^{2}}{[g]})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

h r = {(\frac{{10.1m²/s}^{2}}{9.8066m/s²})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h r = {(\frac{{10.1}^{2}}{9.8066})}^{\frac{1}{3}}

Next Step Evaluate

∴

h r = 2.18293442949442m

LAST Step Rounding Answer

∴

h r = 2.1829m

Critical Depth for Rectangular Channel Formula Elements

Variables

Constants

Critical Depth of Rectangular Channel

The Critical Depth of Rectangular Channel is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Critical Depth of Rectangular Channel

Discharge per unit Width

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

Symbol: q

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Discharge per unit Width

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 of Rectangular Channel

Go Critical Depth given Critical Energy for Rectangular Channel

h r = \frac{E r}{1.5}

Other formulas in Critical Flow and its Computation category

Go Critical Section Factor

Z = \frac{Q}{\sqrt{[g]}}

Go Discharge given Critical Section Factor

Q = Z \cdot \sqrt{[g]}

Go Discharge per unit Width given Critical Depth for Rectangular Channel

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

Go Critical Energy for Rectangular Channel

E r = 1.5 \cdot h r

How to Evaluate Critical Depth for Rectangular Channel?

Critical Depth for Rectangular Channel evaluator uses Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3) to evaluate the Critical Depth of Rectangular Channel, The Critical Depth for Rectangular Channel is defined as the minimum flow depth at which specific flow conditions occur, influencing flow velocity and discharge in hydraulic systems. Critical Depth of Rectangular Channel is denoted by h_r symbol.

How to evaluate Critical Depth for Rectangular Channel using this online evaluator? To use this online evaluator for Critical Depth for Rectangular Channel, enter Discharge per unit Width (q) and hit the calculate button.

FAQs on Critical Depth for Rectangular Channel

What is the formula to find Critical Depth for Rectangular Channel?

The formula of Critical Depth for Rectangular Channel is expressed as Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3). Here is an example- 2.182934 = ((10.1^2)/([g]))^(1/3).

How to calculate Critical Depth for Rectangular Channel?

With Discharge per unit Width (q) we can find Critical Depth for Rectangular Channel using the formula - Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Critical Depth of Rectangular Channel?

Here are the different ways to Calculate Critical Depth of Rectangular Channel-

Critical Depth of Rectangular Channel=Critical Energy of Rectangular Channel/1.5

Can the Critical Depth for Rectangular Channel be negative?

Yes, the Critical Depth for Rectangular Channel, measured in Length can be negative.

Which unit is used to measure Critical Depth for Rectangular Channel?

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

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