Manning's Formula for Hydraulic Radius given Energy Slope Calculator

✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+10% -10%
✖Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity for Varied Flow [v_m,R]			+10% -10%
✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope [S_f]			+10% -10%

✖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.ⓘ Manning's Formula for Hydraulic Radius given Energy Slope [R_H]

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Formula

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Manning's Formula for Hydraulic Radius given Energy Slope

Formula

`"R"_{"H"} = ((("n"*"v"_{"m,R"})^2)/"S"_{"f"})^(3/4)`

Example

`"0.329186m"=((("0.012"*"56.2m/s")^2)/"2.001")^(3/4)`

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Manning's Formula for Hydraulic Radius given Energy Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4)
R_H = (((n*v_m,R)^2)/S_f)^(3/4)
This formula uses 4 Variables

Variables Used

Hydraulic Radius of Channel - (Measured in Meter) - 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.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Mean Velocity for Varied Flow - (Measured in Meter per Second) - Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

STEP 1: Convert Input(s) to Base Unit

Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Mean Velocity for Varied Flow: 56.2 Meter per Second --> 56.2 Meter per Second No Conversion Required
Energy Slope: 2.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = (((n*v_m,R)^2)/S_f)^(3/4) --> (((0.012*56.2)^2)/2.001)^(3/4)

Evaluating ... ...

R_H = 0.329185749252405

STEP 3: Convert Result to Output's Unit

0.329185749252405 Meter --> No Conversion Required

FINAL ANSWER

0.329185749252405 ≈ 0.329186 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Non-uniform Flow in Channels » Integration of the Varied Flow Equation » Manning's Formula for Hydraulic Radius given Energy Slope

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< 12 Integration of the Varied Flow Equation Calculators

Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel

Go Chézy’s Coefficients for Varied Flow = sqrt(((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Bed Slope of Channel)

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

Go Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3)

Chezy Formula for Normal Depth of Wide Rectangular Channel

Go Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3)

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel

Go Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2)

Chezy Formula for Mean Velocity given Energy Slope

Go Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel)

Manning's Formula for Roughness Coefficient given Energy Slope

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

Manning's Formula for Mean Velocity given Energy Slope

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

Chezy's Constant using Chezy Formula given Energy Slope

Go Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2)

Manning's Formula for Hydraulic Radius given Energy Slope

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

Manning's Formula for Energy Slope

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

Chezy Formula for Hydraulic Radius given Energy Slope

Go Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope

Chezy Formula for Energy Slope

Go Energy Slope = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Hydraulic Radius of Channel

Manning's Formula for Hydraulic Radius given Energy Slope Formula

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

What is Hydraulic Radius?

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

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

Manning's Formula for Hydraulic Radius given Energy Slope calculator uses Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4) to calculate 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 calculate Manning's Formula for Hydraulic Radius given Energy Slope using this online calculator? To use this online calculator 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. Here is how the Manning's Formula for Hydraulic Radius given Energy Slope calculation can be explained with given input values -> 0.329186 = (((0.012*56.2)^2)/2.001)^(3/4).

FAQ

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

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 and is represented as R_H = (((n*v_m,R)^2)/S_f)^(3/4) or Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4). Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel, Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T & Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

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

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 is calculated using Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4). To calculate Manning's Formula for Hydraulic Radius given Energy Slope, you need Manning’s Roughness Coefficient (n), Mean Velocity for Varied Flow (v_m,R) & Energy Slope (S_f). With our tool, you need to enter the respective value for Manning’s Roughness Coefficient, Mean Velocity for Varied Flow & Energy Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hydraulic Radius of Channel?

In this formula, Hydraulic Radius of Channel uses Manning’s Roughness Coefficient, Mean Velocity for Varied Flow & Energy Slope. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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