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)))
Acs = Cf/((1/n)*(RH^(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
Acs = Cf/((1/n)*(RH^(2/3))) --> 700/((1/0.012)*(1.6^(2/3)))
Evaluating ... ...
Acs = 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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has verified this Calculator and 600+ more calculators!

19 Computation of Uniform Flow Calculators

Area of Channel Section given Discharge
Go Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))
Chezy Constant given Discharge
Go Chezy's Constant = Discharge of Channel/(Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope))
Discharge through Channel
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
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
Go Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel
Area of Channel Section given Conveyance of Channel Section
Go Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel))
Chezy Constant given Conveyance of Channel Section
Go Chezy's Constant = Conveyance Factor/(Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel))
Conveyance of Channel Section
Go Conveyance Factor = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel)
Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section
Go Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2)
Area of Channel Section by Manning's Formula
Go Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3)))
Manning's Formula for Roughness Coefficient given Conveyance of Section
Go Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))
Manning's Formula for Conveyance of Section
Go Conveyance Factor = (1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))
Hydraulic Radius of Channel Section given Conveyance of Channel Section
Go Hydraulic Radius of Channel = (Conveyance Factor/(Chezy's Constant*Cross-Sectional Area of Channel))^2
Manning's Formula for Discharge given Conveyance
Go Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)
Manning's Formula for Conveyance given Discharge
Go Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)
Discharge given Conveyance
Go Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)
Conveyance given Discharge
Go Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)
Manning's Formula for Bed Slope given Discharge
Go Bed Slope = (Discharge of Channel/Conveyance Factor)^2
Bed Slope given Conveyance Factor
Go Bed Slope = (Discharge of Channel/Conveyance Factor)^2

Area of Channel Section by Manning's Formula Formula

Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3)))
Acs = Cf/((1/n)*(RH^(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 Acs 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 (Cf), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (RH) 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 Acs = Cf/((1/n)*(RH^(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 (Cf), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (RH). 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!