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Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Formula

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Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy. Check FAQs

C = {(\frac{({Y n}^{3}) \cdot (({C VF}^{2}) \cdot S 0)}{[g]})}^{\frac{1}{3}}

C - Critical Depth of Channel?Y_n - Normal Depth of Varied Flow?C_VF - Chézy’s Coefficients for Varied Flow?S₀ - Bed Slope of Channel?[g] - Gravitational acceleration on Earth?

Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Example

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Here is how the Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel equation looks like with Values.

Here is how the Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel equation looks like with Units.

Here is how the Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel equation looks like.

3.0003 = {(\frac{({0.24}^{3}) \cdot (({69.2}^{2}) \cdot 4.001)}{9.8066})}^{\frac{1}{3}}

3.0003m = {(\frac{({0.24m}^{3}) \cdot (({69.2}^{2}) \cdot 4.001)}{9.8066m/s²})}^{\frac{1}{3}}

3.0003 = {(\frac{({0.24}^{3}) \cdot (({69.2}^{2}) \cdot 4.001)}{9.8066})}^{\frac{1}{3}}

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Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Solution

Follow our step by step solution on how to calculate Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel?

FIRST Step Consider the formula

C = {(\frac{({Y n}^{3}) \cdot (({C VF}^{2}) \cdot S 0)}{[g]})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

C = {(\frac{({0.24m}^{3}) \cdot (({69.2}^{2}) \cdot 4.001)}{[g]})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

C = {(\frac{({0.24m}^{3}) \cdot (({69.2}^{2}) \cdot 4.001)}{9.8066m/s²})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

C = {(\frac{({0.24}^{3}) \cdot (({69.2}^{2}) \cdot 4.001)}{9.8066})}^{\frac{1}{3}}

Next Step Evaluate

∴

C = 3.00029941015805m

LAST Step Rounding Answer

∴

C = 3.0003m

Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Formula Elements

Variables

Constants

Critical Depth of Channel

Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.

Symbol: C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Channel

Normal Depth of Varied Flow

Normal Depth of Varied Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.

Symbol: Y_n

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Normal Depth of Varied Flow

Chézy’s Coefficients for Varied Flow

Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.

Symbol: C_VF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chézy’s Coefficients for Varied Flow

Bed Slope of Channel

Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

Symbol: S₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope of 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 in Integration of the Varied Flow Equation category

Go Manning's Formula for Energy Slope

S f = \frac{{(n \cdot v m,R)}^{2}}{{R H}^{\frac{4}{3}}}

Go Manning's Formula for Roughness Coefficient given Energy Slope

n = {(\frac{S f}{\frac{{(v m,R)}^{2}}{{R H}^{\frac{4}{3}}}})}^{\frac{1}{2}}

Go Manning's Formula for Hydraulic Radius given Energy Slope

R H = {(\frac{{(n \cdot v m,R)}^{2}}{S f})}^{\frac{3}{4}}

Go Manning's Formula for Mean Velocity given Energy Slope

v m,R = {(\frac{S f}{\frac{{(n)}^{2}}{{R H}^{\frac{4}{3}}}})}^{\frac{1}{2}}

How to Evaluate Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel?

Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel evaluator uses Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3) to evaluate the Critical Depth of Channel, The Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel is defined as the depth of flow with minimum energy. Critical Depth of Channel is denoted by C symbol.

How to evaluate Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel using this online evaluator? To use this online evaluator for Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel, enter Normal Depth of Varied Flow (Y_n), Chézy’s Coefficients for Varied Flow (C_VF) & Bed Slope of Channel (S₀) and hit the calculate button.

FAQs on Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel

What is the formula to find Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel?

The formula of Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel is expressed as Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3). Here is an example- 3.000299 = (((0.24^3)*((69.2^2)*4.001))/[g])^(1/3).

How to calculate Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel?

With Normal Depth of Varied Flow (Y_n), Chézy’s Coefficients for Varied Flow (C_VF) & Bed Slope of Channel (S₀) we can find Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel using the formula - Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel be negative?

No, the Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel, measured in Length cannot be negative.

Which unit is used to measure Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel?

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

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Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Formula

Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Example

Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Solution

Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel Formula Elements

Other formulas in Integration of the Varied Flow Equation category

How to Evaluate Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel?

FAQs on Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel

Variable Name