Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section Calculator

✖Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.ⓘ Conveyance Factor [C_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%
✖Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Channel [A_cs]			+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 of Channel Section given Conveyance of Section [R_H]

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Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section

Formula

`"R"_{"H"} = ("C"_{"f"}/((1/"n")*"A"_{"cs"}))^(3/2)`

Example

`"0.419066m"=("700"/((1/"0.012")*"15m²"))^(3/2)`

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Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2)
R_H = (C_f/((1/n)*A_cs))^(3/2)
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.
Conveyance Factor - Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Conveyance Factor: 700 --> No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Cross-Sectional Area of Channel: 15 Square Meter --> 15 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = (C_f/((1/n)*A_cs))^(3/2) --> (700/((1/0.012)*15))^(3/2)

Evaluating ... ...

R_H = 0.419065627318682

STEP 3: Convert Result to Output's Unit

0.419065627318682 Meter --> No Conversion Required

FINAL ANSWER

0.419065627318682 ≈ 0.419066 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Computation of Uniform Flow » Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section

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< 19 Computation of Uniform Flow Calculators

Area of Channel Section given Discharge

Go Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))

Chezy Constant given Discharge

Go Chezy's Constant = Discharge of Channel/(Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope))

Discharge through Channel

Go Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope)

Hydraulic Radius of Channel Section given Discharge

Go Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope

Bed Slope of Channel Section given Discharge

Go Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel

Area of Channel Section given Conveyance of Channel Section

Go Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel))

Chezy Constant given Conveyance of Channel Section

Go Chezy's Constant = Conveyance Factor/(Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel))

Conveyance of Channel Section

Go Conveyance Factor = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel)

Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section

Go Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2)

Area of Channel Section by Manning's Formula

Go Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3)))

Manning's Formula for Roughness Coefficient given Conveyance of Section

Go Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))

Manning's Formula for Conveyance of Section

Go Conveyance Factor = (1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))

Hydraulic Radius of Channel Section given Conveyance of Channel Section

Go Hydraulic Radius of Channel = (Conveyance Factor/(Chezy's Constant*Cross-Sectional Area of Channel))^2

Manning's Formula for Discharge given Conveyance

Go Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)

Manning's Formula for Conveyance given Discharge

Go Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)

Discharge given Conveyance

Go Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)

Conveyance given Discharge

Go Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)

Manning's Formula for Bed Slope given Discharge

Go Bed Slope = (Discharge of Channel/Conveyance Factor)^2

Bed Slope given Conveyance Factor

Go Bed Slope = (Discharge of Channel/Conveyance Factor)^2

Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section Formula

Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2)
R_H = (C_f/((1/n)*A_cs))^(3/2)

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 of Channel Section given Conveyance of Section?

Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section calculator uses Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2) to calculate the Hydraulic Radius of Channel, The Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section formula is is defined as the hydraulic radius which is defined as the ratio of the 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 of Channel Section given Conveyance of Section using this online calculator? To use this online calculator for Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section, enter Conveyance Factor (C_f), Manning’s Roughness Coefficient (n) & Cross-Sectional Area of Channel (A_cs) and hit the calculate button. Here is how the Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section calculation can be explained with given input values -> 3.883297 = (700/((1/0.012)*15))^(3/2).

FAQ

What is Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section?

The Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section formula is is defined as the hydraulic radius which is defined as the ratio of the cross-sectional area to the wetted perimeter and is represented as R_H = (C_f/((1/n)*A_cs))^(3/2) or Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2). Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf, Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel & Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

How to calculate Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section?

The Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section formula is is defined as the hydraulic radius which is defined as the ratio of the cross-sectional area to the wetted perimeter is calculated using Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2). To calculate Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section, you need Conveyance Factor (C_f), Manning’s Roughness Coefficient (n) & Cross-Sectional Area of Channel (A_cs). With our tool, you need to enter the respective value for Conveyance Factor, Manning’s Roughness Coefficient & Cross-Sectional Area 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 Hydraulic Radius of Channel?

In this formula, Hydraulic Radius of Channel uses Conveyance Factor, Manning’s Roughness Coefficient & Cross-Sectional Area of Channel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope
Hydraulic Radius of Channel = (Conveyance Factor/(Chezy's Constant*Cross-Sectional Area of Channel))^2

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