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Chezy Formula for Mean Velocity given Energy Slope Formula

GoManning's Formula for Mean Velocity given Energy Slope Formula

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

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

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

Chezy Formula for Mean Velocity given Energy Slope Example

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

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

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

123.8197 = \sqrt{2.001 \cdot ({69.2}^{2}) \cdot 1.6}

123.8197m/s = \sqrt{2.001 \cdot ({69.2}^{2}) \cdot 1.6m}

123.8197 = \sqrt{2.001 \cdot ({69.2}^{2}) \cdot 1.6}

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Chezy Formula for Mean Velocity given Energy Slope Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v m,R = \sqrt{2.001 \cdot ({69.2}^{2}) \cdot 1.6m}

Next Step Prepare to Evaluate

∴

v m,R = \sqrt{2.001 \cdot ({69.2}^{2}) \cdot 1.6}

Next Step Evaluate

∴

v m,R = 123.819666547766m/s

LAST Step Rounding Answer

∴

v m,R = 123.8197m/s

Chezy Formula for Mean Velocity given Energy Slope Formula Elements

Variables

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Mean Velocity for Varied Flow

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}}

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 Chezy Formula for Energy Slope

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

How to Evaluate Chezy Formula for Mean Velocity given Energy Slope?

Chezy Formula for Mean Velocity given Energy Slope evaluator uses Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel) to evaluate the Mean Velocity for Varied Flow, The Chezy Formula for Mean Velocity given Energy Slope formula is defined as the formula which is used to calculate the average velocity of every particle in the channel. Mean Velocity for Varied Flow is denoted by v_m,R symbol.

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

FAQs on Chezy Formula for Mean Velocity given Energy Slope

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

The formula of Chezy Formula for Mean Velocity given Energy Slope is expressed as Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel). Here is an example- 123.8197 = sqrt(2.001*(69.2^2)*1.6).

How to calculate Chezy Formula for Mean Velocity given Energy Slope?

With Energy Slope (S_f), Chézy’s Coefficients for Varied Flow (C_VF) & Hydraulic Radius of Channel (R_H) we can find Chezy Formula for Mean Velocity given Energy Slope using the formula - Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mean Velocity for Varied Flow?

Here are the different ways to Calculate Mean Velocity for Varied Flow-

Mean Velocity for Varied Flow=(Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)

Can the Chezy Formula for Mean Velocity given Energy Slope be negative?

No, the Chezy Formula for Mean Velocity given Energy Slope, measured in Speed cannot be negative.

Which unit is used to measure Chezy Formula for Mean Velocity given Energy Slope?

Chezy Formula for Mean Velocity given Energy Slope is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Chezy Formula for Mean Velocity given Energy Slope can be measured.

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Chezy Formula for Mean Velocity given Energy Slope Formula

​GoManning's Formula for Mean Velocity given Energy Slope Formula

Chezy Formula for Mean Velocity given Energy Slope Example

Chezy Formula for Mean Velocity given Energy Slope Solution

Chezy Formula for Mean Velocity given Energy Slope Formula Elements

Other Formulas to find Mean Velocity for Varied Flow

Other formulas in Integration of the Varied Flow Equation category

How to Evaluate Chezy Formula for Mean Velocity given Energy Slope?

FAQs on Chezy Formula for Mean Velocity given Energy Slope

Variable Name

GoManning's Formula for Mean Velocity given Energy Slope Formula