Manning's Formula for Roughness Coefficient given Energy Slope Calculator

✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope [S_f]			+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%
✖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.ⓘ Hydraulic Radius of Channel [R_H]			+10% -10%

✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning's Formula for Roughness Coefficient given Energy Slope [n]

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Manning's Formula for Roughness Coefficient given Energy Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Manning’s Roughness Coefficient = (Energy Slope/(((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)
n = (S_f/(((v_m,R)^2)/(R_H^(4/3))))^(1/2)
This formula uses 4 Variables

Variables Used

Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Energy Slope: 2.001 --> No Conversion Required
Mean Velocity for Varied Flow: 56.2 Meter per Second --> 56.2 Meter per Second No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (S_f/(((v_m,R)^2)/(R_H^(4/3))))^(1/2) --> (2.001/(((56.2)^2)/(1.6^(4/3))))^(1/2)

Evaluating ... ...

n = 0.0344323938414754

STEP 3: Convert Result to Output's Unit

0.0344323938414754 --> No Conversion Required

FINAL ANSWER

0.0344323938414754 ≈ 0.034432 <-- Manning’s Roughness Coefficient

(Calculation completed in 00.020 seconds)

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< Integration of the Varied Flow Equation Calculators

Manning's Formula for Roughness Coefficient given Energy Slope

LaTeX 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

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

Manning's Formula for Hydraulic Radius given Energy Slope

LaTeX 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

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

Manning's Formula for Roughness Coefficient given Energy Slope Formula

LaTeX Go

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

What is Mannings Coefficient?

The Manning's n is a coefficient which represents the roughness or friction applied to the flow by the channel.

How to Calculate Manning's Formula for Roughness Coefficient given Energy Slope?

Manning's Formula for Roughness Coefficient given Energy Slope calculator uses Manning’s Roughness Coefficient = (Energy Slope/(((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2) to calculate the Manning’s Roughness Coefficient, The Manning's Formula for Roughness Coefficient given Energy Slope formula is defined as the roughness factor on the pipe and channel of the section. Manning’s Roughness Coefficient is denoted by n symbol.

How to calculate Manning's Formula for Roughness Coefficient given Energy Slope using this online calculator? To use this online calculator for Manning's Formula for Roughness Coefficient given Energy Slope, enter Energy Slope (S_f), Mean Velocity for Varied Flow (v_m,R) & Hydraulic Radius of Channel (R_H) and hit the calculate button. Here is how the Manning's Formula for Roughness Coefficient given Energy Slope calculation can be explained with given input values -> 0.034432 = (2.001/(((56.2)^2)/(1.6^(4/3))))^(1/2).

FAQ

What is Manning's Formula for Roughness Coefficient given Energy Slope?

The Manning's Formula for Roughness Coefficient given Energy Slope formula is defined as the roughness factor on the pipe and channel of the section and is represented as n = (S_f/(((v_m,R)^2)/(R_H^(4/3))))^(1/2) or Manning’s Roughness Coefficient = (Energy Slope/(((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2). Energy Slope is at a distance equal to the velocity head above the hydraulic gradient, Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T & 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.

How to calculate Manning's Formula for Roughness Coefficient given Energy Slope?

The Manning's Formula for Roughness Coefficient given Energy Slope formula is defined as the roughness factor on the pipe and channel of the section is calculated using Manning’s Roughness Coefficient = (Energy Slope/(((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2). To calculate Manning's Formula for Roughness Coefficient given Energy Slope, you need Energy Slope (S_f), Mean Velocity for Varied Flow (v_m,R) & Hydraulic Radius of Channel (R_H). With our tool, you need to enter the respective value for Energy Slope, Mean Velocity for Varied Flow & Hydraulic Radius of Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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