Conveyance Function Determined by Manning's Law 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%
✖Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter [P]			+10% -10%

✖Conveyance Function on stage at a section may be determined empirically or by a standard friction law.ⓘ Conveyance Function Determined by Manning's Law [K]

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Formula

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Conveyance Function Determined by Manning's Law

Formula

`"K" = (1/"n")*("A")^(5/3)/("P")^(2/3)`

Example

`"8.222645"=(1/"0.412")*("12.0m²")^(5/3)/("80m")^(2/3)`

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Conveyance Function Determined by Manning's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Conveyance Function = (1/Manning’s Roughness Coefficient)*(Cross-Sectional Area)^(5/3)/(Wetted Perimeter)^(2/3)
K = (1/n)*(A)^(5/3)/(P)^(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.
Wetted Perimeter - (Measured in Meter) - Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

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
Wetted Perimeter: 80 Meter --> 80 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (1/n)*(A)^(5/3)/(P)^(2/3) --> (1/0.412)*(12)^(5/3)/(80)^(2/3)

Evaluating ... ...

K = 8.22264491255268

STEP 3: Convert Result to Output's Unit

8.22264491255268 --> No Conversion Required

FINAL ANSWER

8.22264491255268 ≈ 8.222645 <-- Conveyance Function

(Calculation completed in 00.004 seconds)

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Conveyance Function Determined by Manning's Law

Go Conveyance Function = (1/Manning’s Roughness Coefficient)*(Cross-Sectional Area)^(5/3)/(Wetted Perimeter)^(2/3)

Wetted Perimeter from Manning's Law

Go Wetted Perimeter = ((1/Manning’s Roughness Coefficient)*(Cross-Sectional Area^(5/3)/Conveyance Function))^(3/2)

Cross-sectional Area using Manning's Law

Go Cross-Sectional Area = (Conveyance Function*Manning’s Roughness Coefficient*Wetted Perimeter^(2/3))^(3/5)

Cross-sectional Area using Chezy's Law

Go Cross-Sectional Area = ((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3)

Conveyance Function determined by Chezy's Law

Go Conveyance Function = Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Wetted Perimeter^(1/2))

Wetted Perimeter using Chezy's Law

Go Wetted Perimeter = (Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Conveyance Function))^2

Instantaneous Discharge given Friction Slope

Go Instantaneous Discharge = sqrt(Friction Slope*Conveyance Function^2)

Friction Slope

Go Friction Slope = Instantaneous Discharge^2/Conveyance Function^2

Conveyance Function Determined by Manning's Law Formula

Conveyance Function = (1/Manning’s Roughness Coefficient)*(Cross-Sectional Area)^(5/3)/(Wetted Perimeter)^(2/3)
K = (1/n)*(A)^(5/3)/(P)^(2/3)

What is Manning’s Law?

The Manning equation is an empirical equation that describes the relationship between the velocity in a conduit and the channel geometry, slope, and a friction coefficient expressed as a Manning n.

Description about Manning's Law

Even though Manning’s law was originally intended for flow which is both steady (unchanging in time) and uniform (unchanging along
the waterway), they have been widely accepted as the
governing friction equations in more generally unsteady
and non-uniform flows.

How to Calculate Conveyance Function Determined by Manning's Law?

Conveyance Function Determined by Manning's Law calculator uses Conveyance Function = (1/Manning’s Roughness Coefficient)*(Cross-Sectional Area)^(5/3)/(Wetted Perimeter)^(2/3) to calculate the Conveyance Function, The Conveyance Function Determined by Manning's Law formula is defined as an empirical equation that applies to uniform flow in open channels and is a function of the channel velocity. Conveyance Function is denoted by K symbol.

How to calculate Conveyance Function Determined by Manning's Law using this online calculator? To use this online calculator for Conveyance Function Determined by Manning's Law, enter Manning’s Roughness Coefficient (n), Cross-Sectional Area (A) & Wetted Perimeter (P) and hit the calculate button. Here is how the Conveyance Function Determined by Manning's Law calculation can be explained with given input values -> 8.222645 = (1/0.412)*(12)^(5/3)/(80)^(2/3).

FAQ

What is Conveyance Function Determined by Manning's Law?

The Conveyance Function Determined by Manning's Law formula is defined as an empirical equation that applies to uniform flow in open channels and is a function of the channel velocity and is represented as K = (1/n)*(A)^(5/3)/(P)^(2/3) or Conveyance Function = (1/Manning’s Roughness Coefficient)*(Cross-Sectional Area)^(5/3)/(Wetted Perimeter)^(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 & Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

How to calculate Conveyance Function Determined by Manning's Law?

The Conveyance Function Determined by Manning's Law formula is defined as an empirical equation that applies to uniform flow in open channels and is a function of the channel velocity is calculated using Conveyance Function = (1/Manning’s Roughness Coefficient)*(Cross-Sectional Area)^(5/3)/(Wetted Perimeter)^(2/3). To calculate Conveyance Function Determined by Manning's Law, you need Manning’s Roughness Coefficient (n), Cross-Sectional Area (A) & Wetted Perimeter (P). With our tool, you need to enter the respective value for Manning’s Roughness Coefficient, Cross-Sectional Area & Wetted Perimeter 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 & Wetted Perimeter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Conveyance Function = Chézy’s Coefficients*(Cross-Sectional Area^(3/2)/Wetted Perimeter^(1/2))

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