Area of Channel Section given Discharge Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+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%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+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 Discharge [A_cs]

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Formula

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Area of Channel Section given Discharge

Formula

`"A"_{"cs"} = "Q"/("C"*sqrt("R"_{"H"}*"S"))`

Example

`"13.83496m²"="14m³/s"/("40"*sqrt("1.6m"*"0.0004"))`

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Area of Channel Section given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))
A_cs = Q/(C*sqrt(R_H*S))
This formula uses 1 Functions, 5 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.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
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.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Chezy's Constant: 40 --> No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = Q/(C*sqrt(R_H*S)) --> 14/(40*sqrt(1.6*0.0004))

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 00.004 seconds)

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< 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 given Discharge Formula

Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))
A_cs = Q/(C*sqrt(R_H*S))

What is Rate of Flow?

In physics and engineering, in particular fluid dynamics, the volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

How to Calculate Area of Channel Section given Discharge?

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

How to calculate Area of Channel Section given Discharge using this online calculator? To use this online calculator for Area of Channel Section given Discharge, enter Discharge of Channel (Q), Chezy's Constant (C), Hydraulic Radius of Channel (R_H) & Bed Slope (S) and hit the calculate button. Here is how the Area of Channel Section given Discharge calculation can be explained with given input values -> 13.83496 = 14/(40*sqrt(1.6*0.0004)).

FAQ

What is Area of Channel Section given Discharge?

The Area of Channel Section given Discharge is defined as sectional area of flow taking place in channel and is represented as A_cs = Q/(C*sqrt(R_H*S)) or Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)). Discharge of Channel is the rate of flow of a liquid, 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 & Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

How to calculate Area of Channel Section given Discharge?

The Area of Channel Section given Discharge is defined as sectional area of flow taking place in channel is calculated using Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)). To calculate Area of Channel Section given Discharge, you need Discharge of Channel (Q), Chezy's Constant (C), Hydraulic Radius of Channel (R_H) & Bed Slope (S). With our tool, you need to enter the respective value for Discharge of Channel, Chezy's Constant, Hydraulic Radius of Channel & Bed Slope 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 Discharge of Channel, Chezy's Constant, Hydraulic Radius of Channel & Bed Slope. We can use 2 other way(s) to calculate the same, which is/are as follows -

Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel))
Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3)))

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