Area of Channel with known Conveyance of Channel Calculator

✖Conveyance Function on stage at a section may be determined empirically or by a standard friction law.ⓘ Conveyance Function [K]			+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 [r_H]			+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.ⓘ Area of Channel with known Conveyance of Channel [A]

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Formula

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Area of Channel with known Conveyance of Channel

Formula

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

Example

`"40.66151m²"="8"/("0.33m")^(2/3)*(1/"0.412")`

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Area of Channel with known Conveyance of Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Conveyance Function - Conveyance Function on stage at a section may be determined empirically or by a standard friction law.
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.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

STEP 1: Convert Input(s) to Base Unit

Conveyance Function: 8 --> No Conversion Required
Hydraulic Radius: 0.33 Meter --> 0.33 Meter No Conversion Required
Manning’s Roughness Coefficient: 0.412 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = K/r_H^(2/3)*(1/n) --> 8/0.33^(2/3)*(1/0.412)

Evaluating ... ...

A = 40.6615076787948

STEP 3: Convert Result to Output's Unit

40.6615076787948 Square Meter --> No Conversion Required

FINAL ANSWER

40.6615076787948 ≈ 40.66151 Square Meter <-- Cross-Sectional Area

(Calculation completed in 00.005 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

Area of Channel with known Conveyance of Channel Formula

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

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 Area of Channel with known Conveyance of Channel?

Area of Channel with known Conveyance of Channel calculator uses Cross-Sectional Area = Conveyance Function/Hydraulic Radius^(2/3)*(1/Manning’s Roughness Coefficient) to calculate the Cross-Sectional Area, The Area of Channel with known Conveyance of Channel formula is defined as the channel cross-sectional area for the fluid flow. Cross-Sectional Area is denoted by A symbol.

How to calculate Area of Channel with known Conveyance of Channel using this online calculator? To use this online calculator for Area of Channel with known Conveyance of Channel, enter Conveyance Function (K), Hydraulic Radius (r_H) & Manning’s Roughness Coefficient (n) and hit the calculate button. Here is how the Area of Channel with known Conveyance of Channel calculation can be explained with given input values -> 40.66151 = 8/0.33^(2/3)*(1/0.412).

FAQ

What is Area of Channel with known Conveyance of Channel?

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

How to calculate Area of Channel with known Conveyance of Channel?

The Area of Channel with known Conveyance of Channel formula is defined as the channel cross-sectional area for the fluid flow is calculated using Cross-Sectional Area = Conveyance Function/Hydraulic Radius^(2/3)*(1/Manning’s Roughness Coefficient). To calculate Area of Channel with known Conveyance of Channel, you need Conveyance Function (K), Hydraulic Radius (r_H) & Manning’s Roughness Coefficient (n). With our tool, you need to enter the respective value for Conveyance Function, Hydraulic Radius & Manning’s Roughness Coefficient 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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