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Area of Channel Section given Discharge Formula

GoArea of Channel Section given Conveyance of Channel Section Formula

GoArea of Channel Section by Manning's Formula Formula

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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. Check FAQs

A cs = \frac{Q}{C \cdot \sqrt{R H \cdot S}}

A_cs - Cross-Sectional Area of Channel?Q - Discharge of Channel?C - Chezy's Constant?R_H - Hydraulic Radius of Channel?S - Bed Slope?

Area of Channel Section given Discharge Example

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Here is how the Area of Channel Section given Discharge equation looks like with Values.

Here is how the Area of Channel Section given Discharge equation looks like with Units.

Here is how the Area of Channel Section given Discharge equation looks like.

13.835 = \frac{14}{40 \cdot \sqrt{1.6 \cdot 0.0004}}

13.835m² = \frac{14m³/s}{40 \cdot \sqrt{1.6m \cdot 0.0004}}

13.835 = \frac{14}{40 \cdot \sqrt{1.6 \cdot 0.0004}}

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Area of Channel Section given Discharge Solution

Follow our step by step solution on how to calculate Area of Channel Section given Discharge?

FIRST Step Consider the formula

A cs = \frac{Q}{C \cdot \sqrt{R H \cdot S}}

Next Step Substitute values of Variables

∴

A cs = \frac{14m³/s}{40 \cdot \sqrt{1.6m \cdot 0.0004}}

Next Step Prepare to Evaluate

∴

A cs = \frac{14}{40 \cdot \sqrt{1.6 \cdot 0.0004}}

Next Step Evaluate

∴

A cs = 13.8349647632367m²

LAST Step Rounding Answer

∴

A cs = 13.835m²

Area of Channel Section given Discharge Formula Elements

Variables

Functions

Cross-Sectional Area of Channel

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.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Channel

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

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.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant

Hydraulic Radius of 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.

Symbol: R_H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius of Channel

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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

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.

Syntax: sqrt(Number)

Other Formulas to find Cross-Sectional Area of Channel

Go Area of Channel Section given Conveyance of Channel Section

A cs = \frac{C f}{C \cdot \sqrt{R H}}

Go Area of Channel Section by Manning's Formula

A cs = \frac{C f}{(\frac{1}{n}) \cdot ({R H}^{\frac{2}{3}})}

Other formulas in Computation of Uniform Flow category

Go Discharge through Channel

Q = C \cdot A cs \cdot \sqrt{R H \cdot S}

Go Hydraulic Radius of Channel Section given Discharge

R H = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{S}

Go Bed Slope of Channel Section given Discharge

S = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{R H}

Go Chezy Constant given Discharge

C = \frac{Q}{A cs \cdot \sqrt{R H \cdot S}}

How to Evaluate Area of Channel Section given Discharge?

Area of Channel Section given Discharge evaluator uses Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)) to evaluate 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 evaluate Area of Channel Section given Discharge using this online evaluator? To use this online evaluator 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.

FAQs on Area of Channel Section given Discharge

What is the formula to find Area of Channel Section given Discharge?

The formula of Area of Channel Section given Discharge is expressed as Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)). Here is an example- 13.83496 = 14/(40*sqrt(1.6*0.0004)).

How to calculate Area of Channel Section given Discharge?

With Discharge of Channel (Q), Chezy's Constant (C), Hydraulic Radius of Channel (R_H) & Bed Slope (S) we can find Area of Channel Section given Discharge using the formula - Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Cross-Sectional Area of Channel?

Here are the different ways to Calculate Cross-Sectional Area of Channel-

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)))

Can the Area of Channel Section given Discharge be negative?

No, the Area of Channel Section given Discharge, measured in Area cannot be negative.

Which unit is used to measure Area of Channel Section given Discharge?

Area of Channel Section given Discharge is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Channel Section given Discharge can be measured.

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: Value
: Unit

Area of Channel Section given Discharge Formula

​GoArea of Channel Section given Conveyance of Channel Section Formula

​GoArea of Channel Section by Manning's Formula Formula

Area of Channel Section given Discharge Example

Area of Channel Section given Discharge Solution

Area of Channel Section given Discharge Formula Elements

Other Formulas to find Cross-Sectional Area of Channel

Other formulas in Computation of Uniform Flow category

How to Evaluate Area of Channel Section given Discharge?

FAQs on Area of Channel Section given Discharge

Variable Name

GoArea of Channel Section given Conveyance of Channel Section Formula

GoArea of Channel Section by Manning's Formula Formula