Hydraulic Radius given Conveyance of Channel for Uniform Flow Calculator

✖Conveyance Function on stage at a section may be determined empirically or by a standard friction law.ⓘ Conveyance Function [K]			+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 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 [A]			+10% -10%

✖Hydraulic Radius 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 given Conveyance of Channel for Uniform Flow [r_H]

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Formula

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Hydraulic Radius given Conveyance of Channel for Uniform Flow

Formula

`"r"_{"H"} = ("K"/((1/"n")*"A"))^(3/2)`

Example

`"0.143949m"=("8"/((1/"0.412")*"12.0m²"))^(3/2)`

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Hydraulic Radius given Conveyance of Channel for Uniform Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2)
r_H = (K/((1/n)*A))^(3/2)
This formula uses 4 Variables

Variables Used

Hydraulic Radius - (Measured in Meter) - Hydraulic Radius 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 Function - Conveyance Function on stage at a section may be determined empirically or by a standard friction law.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area 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 Function: 8 --> No Conversion Required
Manning’s Roughness Coefficient: 0.412 --> No Conversion Required
Cross-Sectional Area: 12 Square Meter --> 12 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_H = (K/((1/n)*A))^(3/2) --> (8/((1/0.412)*12))^(3/2)

Evaluating ... ...

r_H = 0.143949093882628

STEP 3: Convert Result to Output's Unit

0.143949093882628 Meter --> No Conversion Required

FINAL ANSWER

0.143949093882628 ≈ 0.143949 Meter <-- Hydraulic Radius

(Calculation completed in 00.004 seconds)

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< 8 Uniform Flow Calculators

Hydraulic Radius given Conveyance of Channel for Uniform Flow

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

Area of Channel with known Conveyance of Channel

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

Conveyance of Channel

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

Conveyance of Channel given Energy Slope

Go Conveyance Function = sqrt(Discharge^2/Energy Slope)

Discharge for Uniform Flow given Energy Slope

Go Discharge = Conveyance Function*sqrt(Energy Slope)

Energy Slope for Uniform Flow

Go Energy Slope = Discharge^2/Conveyance Function^2

Length of Reach by Manning's Formula for Uniform Flow

Go Reach = Frictional Loss/Energy Slope

Frictional Loss given Energy Slope

Go Frictional Loss = Energy Slope*Reach

Hydraulic Radius given Conveyance of Channel for Uniform Flow Formula

Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2)
r_H = (K/((1/n)*A))^(3/2)

What is Slope Area method for Uniform Flow in Open Channel?

Slope Area method for Uniform Flow in Open Channel is when discharge is computed on the basis of a uniform flow equation involving channel characteristics, water surface profile and a roughness coefficient. The drop in water surface profile for a uniform reach of channel represents losses caused by bed roughness.

How to Calculate Hydraulic Radius given Conveyance of Channel for Uniform Flow?

Hydraulic Radius given Conveyance of Channel for Uniform Flow calculator uses Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2) to calculate the Hydraulic Radius, The Hydraulic Radius given Conveyance of Channel for Uniform Flow formula is defined as 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. Hydraulic Radius is denoted by r_H symbol.

How to calculate Hydraulic Radius given Conveyance of Channel for Uniform Flow using this online calculator? To use this online calculator for Hydraulic Radius given Conveyance of Channel for Uniform Flow, enter Conveyance Function (K), Manning’s Roughness Coefficient (n) & Cross-Sectional Area (A) and hit the calculate button. Here is how the Hydraulic Radius given Conveyance of Channel for Uniform Flow calculation can be explained with given input values -> 0.143949 = (8/((1/0.412)*12))^(3/2).

FAQ

What is Hydraulic Radius given Conveyance of Channel for Uniform Flow?

The Hydraulic Radius given Conveyance of Channel for Uniform Flow formula is defined as 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 and is represented as r_H = (K/((1/n)*A))^(3/2) or Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2). Conveyance Function on stage at a section may be determined empirically or by a standard friction law, Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel & Cross-Sectional Area 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 Hydraulic Radius given Conveyance of Channel for Uniform Flow?

The Hydraulic Radius given Conveyance of Channel for Uniform Flow formula is defined as 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 is calculated using Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2). To calculate Hydraulic Radius given Conveyance of Channel for Uniform Flow, you need Conveyance Function (K), Manning’s Roughness Coefficient (n) & Cross-Sectional Area (A). With our tool, you need to enter the respective value for Conveyance Function, Manning’s Roughness Coefficient & Cross-Sectional Area 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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