Manning's Formula for Mean Velocity 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%
✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+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%

✖Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Manning's Formula for Mean Velocity given Energy Slope [v_m,R]

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Manning's Formula for Mean Velocity given Energy Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
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
Manning’s Roughness Coefficient: 0.012 --> 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

v_m,R = (S_f/(((n)^2)/(R_H^(4/3))))^(1/2) --> (2.001/(((0.012)^2)/(1.6^(4/3))))^(1/2)

Evaluating ... ...

v_m,R = 161.258377824243

STEP 3: Convert Result to Output's Unit

161.258377824243 Meter per Second --> No Conversion Required

FINAL ANSWER

161.258377824243 ≈ 161.2584 Meter per Second <-- Mean Velocity for Varied Flow

(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 Mean Velocity given Energy Slope

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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 Mean Velocity given Energy Slope Formula

LaTeX Go

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

What is Mean Velocity?

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion.

How to Calculate Manning's Formula for Mean Velocity given Energy Slope?

Manning's Formula for Mean Velocity given Energy Slope calculator uses Mean Velocity for Varied Flow = (Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2) to calculate the Mean Velocity for Varied Flow, The Manning's Formula for Mean Velocity given Energy Slope formula is defined as the average velocity of every particle in the channel. Mean Velocity for Varied Flow is denoted by v_m,R symbol.

How to calculate Manning's Formula for Mean Velocity given Energy Slope using this online calculator? To use this online calculator for Manning's Formula for Mean Velocity given Energy Slope, enter Energy Slope (S_f), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H) and hit the calculate button. Here is how the Manning's Formula for Mean Velocity given Energy Slope calculation can be explained with given input values -> 161.2584 = (2.001/(((0.012)^2)/(1.6^(4/3))))^(1/2).

FAQ

What is Manning's Formula for Mean Velocity given Energy Slope?

The Manning's Formula for Mean Velocity given Energy Slope formula is defined as the average velocity of every particle in the channel and is represented as v_m,R = (S_f/(((n)^2)/(R_H^(4/3))))^(1/2) or Mean Velocity for Varied Flow = (Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2). Energy Slope is at a distance equal to the velocity head above the hydraulic gradient, Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the 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.

How to calculate Manning's Formula for Mean Velocity given Energy Slope?

The Manning's Formula for Mean Velocity given Energy Slope formula is defined as the average velocity of every particle in the channel is calculated using Mean Velocity for Varied Flow = (Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2). To calculate Manning's Formula for Mean Velocity given Energy Slope, you need Energy Slope (S_f), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H). With our tool, you need to enter the respective value for Energy Slope, Manning’s Roughness Coefficient & 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.

How many ways are there to calculate Mean Velocity for Varied Flow?

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

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

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