Area of Channel Section by Manning's Formula 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%
✖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.ⓘ Hydraulic Radius of Channel [R_H]			+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.ⓘ Area of Channel Section by Manning's Formula [A_cs]

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Area of Channel Section by Manning's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3)))
A_cs = C_f/((1/n)*(R_H^(2/3)))
This formula uses 4 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Conveyance Factor: 700 --> No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = C_f/((1/n)*(R_H^(2/3))) --> 700/((1/0.012)*(1.6^(2/3)))

Evaluating ... ...

A_cs = 6.14043725024702

STEP 3: Convert Result to Output's Unit

6.14043725024702 Square Meter --> No Conversion Required

FINAL ANSWER

6.14043725024702 ≈ 6.140437 Square Meter <-- Cross-Sectional Area of Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Computation of Uniform Flow Calculators

Area of Channel Section given Discharge

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

Discharge through Channel

LaTeX 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

LaTeX 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

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

Area of Channel Section by Manning's Formula Formula

LaTeX Go

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

What is Wetted Area?

The surface area that interacts with the working fluid or gas. In maritime use, the wetted area is the area of the hull which is immersed in water. In aeronautics, the wetted area is the area which is in contact with the external airflow. This has a direct relationship on the overall aerodynamic drag of the aircraft.

How to Calculate Area of Channel Section by Manning's Formula?

Area of Channel Section by Manning's Formula calculator uses Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))) to calculate the Cross-Sectional Area of Channel, The Area of Channel Section by Manning's Formula is defined as the flow area in the channel. Cross-Sectional Area of Channel is denoted by A_cs symbol.

How to calculate Area of Channel Section by Manning's Formula using this online calculator? To use this online calculator for Area of Channel Section by Manning's Formula, enter Conveyance Factor (C_f), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H) and hit the calculate button. Here is how the Area of Channel Section by Manning's Formula calculation can be explained with given input values -> 6.140437 = 700/((1/0.012)*(1.6^(2/3))).

FAQ

What is Area of Channel Section by Manning's Formula?

The Area of Channel Section by Manning's Formula is defined as the flow area in the channel and is represented as A_cs = C_f/((1/n)*(R_H^(2/3))) or Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))). 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 & 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.

How to calculate Area of Channel Section by Manning's Formula?

The Area of Channel Section by Manning's Formula is defined as the flow area in the channel is calculated using Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))). To calculate Area of Channel Section by Manning's Formula, you need Conveyance Factor (C_f), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H). With our tool, you need to enter the respective value for Conveyance Factor, Manning’s Roughness Coefficient & Hydraulic Radius 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 Cross-Sectional Area of Channel?

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

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

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