Manning's Formula for Hydraulic Radius given Average Velocity Calculator

✖Average Velocity of Uniform Flow is defined as the mean of all different velocities.ⓘ Average Velocity of Uniform Flow [V_avg(U)]			+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%
✖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%

✖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 Average Velocity [R_H]

⎘ Copy

👎

Formula

✖

Manning's Formula for Hydraulic Radius given Average Velocity

Formula

`"R"_{"H"} = ("V"_{"avg(U)"}*"n"/sqrt("S"))^(3/2)`

Example

`"0.330063m"=("0.796m/s"*"0.012"/sqrt("0.0004"))^(3/2)`

Calculator

LaTeX

Reset

👍

Download Uniform Flow in Channels Formulas PDF

Manning's Formula for Hydraulic Radius given Average Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
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

Average Velocity of Uniform Flow: 0.796 Meter per Second --> 0.796 Meter per Second No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = (V_avg(U)*n/sqrt(S))^(3/2) --> (0.796*0.012/sqrt(0.0004))^(3/2)

Evaluating ... ...

R_H = 0.330062722184739

STEP 3: Convert Result to Output's Unit

0.330062722184739 Meter --> No Conversion Required

FINAL ANSWER

0.330062722184739 ≈ 0.330063 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Uniform Flow in Channels » Manning's Formula in Uniform Flow » Manning's Formula for Hydraulic Radius given Average Velocity

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 7 Manning's Formula in Uniform Flow Calculators

Manning's Formula for Hydraulic Radius given Average Velocity

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

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

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

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

Manning's Formula for Hydraulic Radius given Chezy's Constant

Go Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2

Manning's Formula for Roughness Coefficient given Chezy's Constant

Go Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6)

Manning's Coefficient using Strickler Formula

Go Manning’s Roughness Coefficient = (Roughness Value^(1/6))/21

Manning's Formula for Hydraulic Radius given Average Velocity Formula

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

What is Manning's Equation?

The Manning's equation is an empirical equation that applies to uniform flow in open channels and is a function of the channel velocity, flow area and channel slope. Under the assumption of uniform flow conditions the bottom slope is the same as the slope of the energy grade line and the water surface slope.

How to Calculate Manning's Formula for Hydraulic Radius given Average Velocity?

Manning's Formula for Hydraulic Radius given Average Velocity calculator uses Hydraulic Radius of Channel = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/sqrt(Bed Slope))^(3/2) to calculate the Hydraulic Radius of Channel, The Manning's Formula for Hydraulic Radius given Average Velocity Formula is defined as the hydraulic radius which is defined as the ratio of cross-sectional area to the wetted perimeter. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Manning's Formula for Hydraulic Radius given Average Velocity using this online calculator? To use this online calculator for Manning's Formula for Hydraulic Radius given Average Velocity, enter Average Velocity of Uniform Flow (V_avg(U)), Manning’s Roughness Coefficient (n) & Bed Slope (S) and hit the calculate button. Here is how the Manning's Formula for Hydraulic Radius given Average Velocity calculation can be explained with given input values -> 0.330063 = (0.796*0.012/sqrt(0.0004))^(3/2).

FAQ

What is Manning's Formula for Hydraulic Radius given Average Velocity?

The Manning's Formula for Hydraulic Radius given Average Velocity Formula is defined as the hydraulic radius which is defined as the ratio of cross-sectional area to the wetted perimeter and is represented as R_H = (V_avg(U)*n/sqrt(S))^(3/2) or Hydraulic Radius of Channel = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/sqrt(Bed Slope))^(3/2). Average Velocity of Uniform Flow is defined as the mean of all different velocities, Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel & 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 Hydraulic Radius given Average Velocity?

The Manning's Formula for Hydraulic Radius given Average Velocity Formula is defined as the hydraulic radius which is defined as the ratio of cross-sectional area to the wetted perimeter is calculated using Hydraulic Radius of Channel = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/sqrt(Bed Slope))^(3/2). To calculate Manning's Formula for Hydraulic Radius given Average Velocity, you need Average Velocity of Uniform Flow (V_avg(U)), Manning’s Roughness Coefficient (n) & Bed Slope (S). With our tool, you need to enter the respective value for Average Velocity of Uniform Flow, Manning’s Roughness Coefficient & Bed 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 Average Velocity of Uniform Flow, Manning’s Roughness Coefficient & Bed Slope. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2

Home

FREE PDFs

🔍 Search