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Chezy Formula for Hydraulic Radius given Energy Slope Formula

GoManning's Formula for Hydraulic Radius given Energy Slope Formula

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Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit. Check FAQs

R H = \frac{{(\frac{v m,R}{C VF})}^{2}}{S f}

R_H - Hydraulic Radius of Channel?v_m,R - Mean Velocity for Varied Flow?C_VF - Chézy’s Coefficients for Varied Flow?S_f - Energy Slope?

Chezy Formula for Hydraulic Radius given Energy Slope Example

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Here is how the Chezy Formula for Hydraulic Radius given Energy Slope equation looks like with Values.

Here is how the Chezy Formula for Hydraulic Radius given Energy Slope equation looks like with Units.

Here is how the Chezy Formula for Hydraulic Radius given Energy Slope equation looks like.

0.3296 = \frac{{(\frac{56.2}{69.2})}^{2}}{2.001}

0.3296m = \frac{{(\frac{56.2m/s}{69.2})}^{2}}{2.001}

0.3296 = \frac{{(\frac{56.2}{69.2})}^{2}}{2.001}

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Chezy Formula for Hydraulic Radius given Energy Slope Solution

Follow our step by step solution on how to calculate Chezy Formula for Hydraulic Radius given Energy Slope?

FIRST Step Consider the formula

R H = \frac{{(\frac{v m,R}{C VF})}^{2}}{S f}

Next Step Substitute values of Variables

∴

R H = \frac{{(\frac{56.2m/s}{69.2})}^{2}}{2.001}

Next Step Prepare to Evaluate

∴

R H = \frac{{(\frac{56.2}{69.2})}^{2}}{2.001}

Next Step Evaluate

∴

R H = 0.329619847098069m

LAST Step Rounding Answer

∴

R H = 0.3296m

Chezy Formula for Hydraulic Radius given Energy Slope Formula Elements

Variables

Hydraulic Radius of Channel

Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

Symbol: R_H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius of Channel

Mean Velocity for Varied Flow

Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: v_m,R

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Mean Velocity for 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

Energy Slope

Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

Symbol: S_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Energy Slope

Other Formulas to find Hydraulic Radius of Channel

Go Manning's Formula for Hydraulic Radius given Energy Slope

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

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 Mean Velocity given Energy Slope

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

Go Chezy Formula for Energy Slope

S f = \frac{{(\frac{v m,R}{C VF})}^{2}}{R H}

How to Evaluate Chezy Formula for Hydraulic Radius given Energy Slope?

Chezy Formula for Hydraulic Radius given Energy Slope evaluator uses Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope to evaluate the Hydraulic Radius of Channel, The Chezy Formula for Hydraulic Radius given Energy Slope is defined as the ratio of wetted area to wetted perimeter of the channel section. Hydraulic Radius of Channel is denoted by R_H symbol.

How to evaluate Chezy Formula for Hydraulic Radius given Energy Slope using this online evaluator? To use this online evaluator for Chezy Formula for Hydraulic Radius given Energy Slope, enter Mean Velocity for Varied Flow (v_m,R), Chézy’s Coefficients for Varied Flow (C_VF) & Energy Slope (S_f) and hit the calculate button.

FAQs on Chezy Formula for Hydraulic Radius given Energy Slope

What is the formula to find Chezy Formula for Hydraulic Radius given Energy Slope?

The formula of Chezy Formula for Hydraulic Radius given Energy Slope is expressed as Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope. Here is an example- 0.32962 = ((56.2/69.2)^2)/2.001.

How to calculate Chezy Formula for Hydraulic Radius given Energy Slope?

With Mean Velocity for Varied Flow (v_m,R), Chézy’s Coefficients for Varied Flow (C_VF) & Energy Slope (S_f) we can find Chezy Formula for Hydraulic Radius given Energy Slope using the formula - Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope.

What are the other ways to Calculate Hydraulic Radius of Channel?

Here are the different ways to Calculate Hydraulic Radius of Channel-

Hydraulic Radius of Channel=(((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4)

Can the Chezy Formula for Hydraulic Radius given Energy Slope be negative?

No, the Chezy Formula for Hydraulic Radius given Energy Slope, measured in Length cannot be negative.

Which unit is used to measure Chezy Formula for Hydraulic Radius given Energy Slope?

Chezy Formula for Hydraulic Radius given Energy Slope 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 Hydraulic Radius given Energy Slope can be measured.

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Chezy Formula for Hydraulic Radius given Energy Slope Formula

​GoManning's Formula for Hydraulic Radius given Energy Slope Formula

Chezy Formula for Hydraulic Radius given Energy Slope Example

Chezy Formula for Hydraulic Radius given Energy Slope Solution

Chezy Formula for Hydraulic Radius given Energy Slope Formula Elements

Other Formulas to find Hydraulic Radius of Channel

Other formulas in Integration of the Varied Flow Equation category

How to Evaluate Chezy Formula for Hydraulic Radius given Energy Slope?

FAQs on Chezy Formula for Hydraulic Radius given Energy Slope

Variable Name

GoManning's Formula for Hydraulic Radius given Energy Slope Formula