Area of Channel Section given Conveyance of Channel Section 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%
✖The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.ⓘ Chezy's Constant [C]			+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 given Conveyance of Channel Section [A_cs]

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Area of Channel Section given Conveyance of Channel Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel))
A_cs = C_f/(C*sqrt(R_H))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Chezy's Constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.
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
Chezy's Constant: 40 --> 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/(C*sqrt(R_H)) --> 700/(40*sqrt(1.6))

Evaluating ... ...

A_cs = 13.8349647632367

STEP 3: Convert Result to Output's Unit

13.8349647632367 Square Meter --> No Conversion Required

FINAL ANSWER

13.8349647632367 ≈ 13.83496 Square Meter <-- Cross-Sectional Area of Channel

(Calculation completed in 00.020 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 given Conveyance of Channel Section Formula

LaTeX Go

Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel))
A_cs = C_f/(C*sqrt(R_H))

What is Chezy Constant?

This equation is called as Chezy's Formula. Where, A is the area of flow of water, m is the hydraulic mean depth or hydraulic radius, 'i' is the slope of the bed and 'C' is the Chezy's Constant.

How to Calculate Area of Channel Section given Conveyance of Channel Section?

Area of Channel Section given Conveyance of Channel Section calculator uses Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel)) to calculate the Cross-Sectional Area of Channel, The Area of Channel Section given Conveyance of Channel Section is defined as area of flow in channel section. Cross-Sectional Area of Channel is denoted by A_cs symbol.

How to calculate Area of Channel Section given Conveyance of Channel Section using this online calculator? To use this online calculator for Area of Channel Section given Conveyance of Channel Section, enter Conveyance Factor (C_f), Chezy's Constant (C) & Hydraulic Radius of Channel (R_H) and hit the calculate button. Here is how the Area of Channel Section given Conveyance of Channel Section calculation can be explained with given input values -> 13.83496 = 700/(40*sqrt(1.6)).

FAQ

What is Area of Channel Section given Conveyance of Channel Section?

The Area of Channel Section given Conveyance of Channel Section is defined as area of flow in channel section and is represented as A_cs = C_f/(C*sqrt(R_H)) or Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel)). Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf, The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula & 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 given Conveyance of Channel Section?

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

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