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)
RH = (((n*vm,R)^2)/Sf)^(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
RH = (((n*vm,R)^2)/Sf)^(3/4) --> (((0.012*56.2)^2)/2.001)^(3/4)
Evaluating ... ...
RH = 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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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 Hydraulic Radius given Energy Slope Formula

​LaTeX ​Go
Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4)
RH = (((n*vm,R)^2)/Sf)^(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 RH 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 (vm,R) & Energy Slope (Sf) 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 RH = (((n*vm,R)^2)/Sf)^(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 (vm,R) & Energy Slope (Sf). 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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