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Chezy Formula for Energy Slope Formula

GoManning's Formula for Energy Slope Formula

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

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

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

Chezy Formula for Energy Slope Example

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

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

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

0.4122 = \frac{{(\frac{56.2}{69.2})}^{2}}{1.6}

0.4122 = \frac{{(\frac{56.2m/s}{69.2})}^{2}}{1.6m}

0.4122 = \frac{{(\frac{56.2}{69.2})}^{2}}{1.6}

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Chezy Formula for Energy Slope Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S f = \frac{{(\frac{56.2m/s}{69.2})}^{2}}{1.6m}

Next Step Prepare to Evaluate

∴

S f = \frac{{(\frac{56.2}{69.2})}^{2}}{1.6}

Next Step Evaluate

∴

S f = 0.412230821277022

LAST Step Rounding Answer

∴

S f = 0.4122

Chezy Formula for Energy Slope Formula Elements

Variables

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

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

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

Other Formulas to find Energy Slope

Go Manning's Formula for Energy Slope

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

Other formulas in Integration of the Varied Flow Equation category

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}}

Go Chezy Formula for Mean Velocity given Energy Slope

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

How to Evaluate Chezy Formula for Energy Slope?

Chezy Formula for Energy Slope evaluator uses Energy Slope = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Hydraulic Radius of Channel to evaluate the Energy Slope, The Chezy Formula for Energy Slope is defined as the formula which is used to calculate the channel energy slope in the section at any point. Energy Slope is denoted by S_f symbol.

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

FAQs on Chezy Formula for Energy Slope

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

The formula of Chezy Formula for Energy Slope is expressed as Energy Slope = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Hydraulic Radius of Channel. Here is an example- 0.412231 = ((56.2/69.2)^2)/1.6.

How to calculate Chezy Formula for Energy Slope?

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

What are the other ways to Calculate Energy Slope?

Here are the different ways to Calculate Energy Slope-

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

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Chezy Formula for Energy Slope Formula

​GoManning's Formula for Energy Slope Formula

Chezy Formula for Energy Slope Example

Chezy Formula for Energy Slope Solution

Chezy Formula for Energy Slope Formula Elements

Other Formulas to find Energy Slope

Other formulas in Integration of the Varied Flow Equation category

How to Evaluate Chezy Formula for Energy Slope?

FAQs on Chezy Formula for Energy Slope

Variable Name

GoManning's Formula for Energy Slope Formula