Manning's Formula for Average Velocity Calculator

✖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%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%

✖Average Velocity of Uniform Flow is defined as the mean of all different velocities.ⓘ Manning's Formula for Average Velocity [V_avg(U)]

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Manning's Formula for Average Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity of Uniform Flow = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))*(Bed Slope^(1/2))
V_avg(U) = (1/n)*(R_H^(2/3))*(S^(1/2))
This formula uses 4 Variables

Variables Used

Average Velocity of Uniform Flow - (Measured in Meter per Second) - Average Velocity of Uniform Flow is defined as the mean of all different velocities.
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.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

STEP 1: Convert Input(s) to Base Unit

Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_avg(U) = (1/n)*(R_H^(2/3))*(S^(1/2)) --> (1/0.012)*(1.6^(2/3))*(0.0004^(1/2))

Evaluating ... ...

V_avg(U) = 2.27996792890226

STEP 3: Convert Result to Output's Unit

2.27996792890226 Meter per Second --> No Conversion Required

FINAL ANSWER

2.27996792890226 ≈ 2.279968 Meter per Second <-- Average Velocity of Uniform Flow

(Calculation completed in 00.004 seconds)

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< Manning's Formula in Uniform Flow Calculators

Manning's Formula for Hydraulic Radius given Average Velocity

LaTeX Go Hydraulic Radius of Channel = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/sqrt(Bed Slope))^(3/2)

Manning's Formula for Coefficient of Roughness given Average Velocity

LaTeX Go Manning’s Roughness Coefficient = (1/Average Velocity of Uniform Flow)*(Bed Slope^(1/2))*(Hydraulic Radius of Channel^(2/3))

Manning's Formula for Average Velocity

LaTeX Go Average Velocity of Uniform Flow = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))*(Bed Slope^(1/2))

Manning's Formula for Slope of Channel Bed given Average Velocity

LaTeX Go Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2)

Manning's Formula for Average Velocity Formula

LaTeX Go

Average Velocity of Uniform Flow = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))*(Bed Slope^(1/2))
V_avg(U) = (1/n)*(R_H^(2/3))*(S^(1/2))

What is Average Velocity?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity.

How to Calculate Manning's Formula for Average Velocity?

Manning's Formula for Average Velocity calculator uses Average Velocity of Uniform Flow = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))*(Bed Slope^(1/2)) to calculate the Average Velocity of Uniform Flow, The Manning's Formula for Average Velocity is defined as the velocity at all the points in the section of the pipe. Average Velocity of Uniform Flow is denoted by V_avg(U) symbol.

How to calculate Manning's Formula for Average Velocity using this online calculator? To use this online calculator for Manning's Formula for Average Velocity, enter Manning’s Roughness Coefficient (n), Hydraulic Radius of Channel (R_H) & Bed Slope (S) and hit the calculate button. Here is how the Manning's Formula for Average Velocity calculation can be explained with given input values -> 2.279968 = (1/0.012)*(1.6^(2/3))*(0.0004^(1/2)).

FAQ

What is Manning's Formula for Average Velocity?

The Manning's Formula for Average Velocity is defined as the velocity at all the points in the section of the pipe and is represented as V_avg(U) = (1/n)*(R_H^(2/3))*(S^(1/2)) or Average Velocity of Uniform Flow = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))*(Bed Slope^(1/2)). 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 & Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

How to calculate Manning's Formula for Average Velocity?

The Manning's Formula for Average Velocity is defined as the velocity at all the points in the section of the pipe is calculated using Average Velocity of Uniform Flow = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))*(Bed Slope^(1/2)). To calculate Manning's Formula for Average Velocity, you need Manning’s Roughness Coefficient (n), Hydraulic Radius of Channel (R_H) & Bed Slope (S). With our tool, you need to enter the respective value for Manning’s Roughness Coefficient, Hydraulic Radius of Channel & Bed Slope 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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