Conveyance of Channel Calculator

✖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 [r_H]			+10% -10%

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

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Formula

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Conveyance of Channel

Formula

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

Example

`"13.90892"=(1/"0.412")*"12.0m²"*("0.33m")^(2/3)`

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Download Indirect Methods of Streamflow Measurement Formulas PDF

Conveyance of Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Manning’s Roughness Coefficient: 0.412 --> No Conversion Required
Cross-Sectional Area: 12 Square Meter --> 12 Square Meter No Conversion Required
Hydraulic Radius: 0.33 Meter --> 0.33 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (1/n)*A*r_H^(2/3) --> (1/0.412)*12*0.33^(2/3)

Evaluating ... ...

K = 13.9089172479257

STEP 3: Convert Result to Output's Unit

13.9089172479257 --> No Conversion Required

FINAL ANSWER

13.9089172479257 ≈ 13.90892 <-- Conveyance Function

(Calculation completed in 00.004 seconds)

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Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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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

Conveyance of Channel Formula

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

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

The 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 Conveyance of Channel?

Conveyance of Channel calculator uses Conveyance Function = (1/Manning’s Roughness Coefficient)*Cross-Sectional Area*Hydraulic Radius^(2/3) to calculate the Conveyance Function, The Conveyance of Channel formula is defined as the cross-sectional area multiplied by the hydraulic radius. Conveyance Function is denoted by K symbol.

How to calculate Conveyance of Channel using this online calculator? To use this online calculator for Conveyance of Channel, enter Manning’s Roughness Coefficient (n), Cross-Sectional Area (A) & Hydraulic Radius (r_H) and hit the calculate button. Here is how the Conveyance of Channel calculation can be explained with given input values -> 13.90892 = (1/0.412)*12*0.33^(2/3).

FAQ

What is Conveyance of Channel?

The Conveyance of Channel formula is defined as the cross-sectional area multiplied by the hydraulic radius and is represented as K = (1/n)*A*r_H^(2/3) or Conveyance Function = (1/Manning’s Roughness Coefficient)*Cross-Sectional Area*Hydraulic Radius^(2/3). 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 & 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.

How to calculate Conveyance of Channel?

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

In this formula, Conveyance Function uses Manning’s Roughness Coefficient, Cross-Sectional Area & Hydraulic Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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