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Manning's Formula for Hydraulic Radius given Energy Slope Formula

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

R_H - Hydraulic Radius of Channel?n - Manning’s Roughness Coefficient?v_m,R - Mean Velocity for Varied Flow?S_f - Energy Slope?

Manning's Formula for Hydraulic Radius given Energy Slope Example

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

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

Here is how the Manning's Formula for Hydraulic Radius given Energy Slope equation looks like.

0.3292 = {(\frac{{(0.012 \cdot 56.2)}^{2}}{2.001})}^{\frac{3}{4}}

0.3292m = {(\frac{{(0.012 \cdot 56.2m/s)}^{2}}{2.001})}^{\frac{3}{4}}

0.3292 = {(\frac{{(0.012 \cdot 56.2)}^{2}}{2.001})}^{\frac{3}{4}}

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Manning's Formula for Hydraulic Radius given Energy Slope Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R H = {(\frac{{(0.012 \cdot 56.2m/s)}^{2}}{2.001})}^{\frac{3}{4}}

Next Step Prepare to Evaluate

∴

R H = {(\frac{{(0.012 \cdot 56.2)}^{2}}{2.001})}^{\frac{3}{4}}

Next Step Evaluate

∴

R H = 0.329185749252405m

LAST Step Rounding Answer

∴

R H = 0.3292m

Manning's 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

Manning’s Roughness Coefficient

Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Manning’s Roughness Coefficient

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

Other Formulas to find Hydraulic Radius of Channel

Go Chezy Formula for Hydraulic Radius given Energy Slope

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

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 Manning's Formula for Hydraulic Radius given Energy Slope?

Manning's Formula for Hydraulic Radius given Energy Slope evaluator uses Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4) to evaluate the Hydraulic Radius of Channel, The Manning's Formula for Hydraulic Radius given Energy Slope is defined as the hydraulic radius which 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 Manning's Formula for Hydraulic Radius given Energy Slope using this online evaluator? To use this online evaluator for Manning's Formula for Hydraulic Radius given Energy Slope, enter Manning’s Roughness Coefficient (n), Mean Velocity for Varied Flow (v_m,R) & Energy Slope (S_f) and hit the calculate button.

FAQs on Manning's Formula for Hydraulic Radius given Energy Slope

What is the formula to find Manning's Formula for Hydraulic Radius given Energy Slope?

The formula of Manning's Formula for Hydraulic Radius given Energy Slope is expressed as Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4). Here is an example- 0.329186 = (((0.012*56.2)^2)/2.001)^(3/4).

How to calculate Manning's Formula for Hydraulic Radius given Energy Slope?

With Manning’s Roughness Coefficient (n), Mean Velocity for Varied Flow (v_m,R) & Energy Slope (S_f) we can find Manning's Formula for Hydraulic Radius given Energy Slope using the formula - Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4).

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=((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope

Can the Manning's Formula for Hydraulic Radius given Energy Slope be negative?

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

Which unit is used to measure Manning's Formula for Hydraulic Radius given Energy Slope?

Manning's 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 Manning's Formula for Hydraulic Radius given Energy Slope can be measured.

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Manning's Formula for Hydraulic Radius given Energy Slope Formula

​GoChezy Formula for Hydraulic Radius given Energy Slope Formula

Manning's Formula for Hydraulic Radius given Energy Slope Example

Manning's Formula for Hydraulic Radius given Energy Slope Solution

Manning's 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 Manning's Formula for Hydraulic Radius given Energy Slope?

FAQs on Manning's Formula for Hydraulic Radius given Energy Slope

Variable Name

GoChezy Formula for Hydraulic Radius given Energy Slope Formula