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Area of Channel Section given Conveyance of Channel Section Formula

GoArea of Channel Section given Discharge 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{C f}{C \cdot \sqrt{R H}}

A_cs - Cross-Sectional Area of Channel?C_f - Conveyance Factor?C - Chezy's Constant?R_H - Hydraulic Radius of Channel?

Area of Channel Section given Conveyance of Channel Section Example

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

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

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

13.835 = \frac{700}{40 \cdot \sqrt{1.6}}

13.835m² = \frac{700}{40 \cdot \sqrt{1.6m}}

13.835 = \frac{700}{40 \cdot \sqrt{1.6}}

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Area of Channel Section given Conveyance of Channel Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A cs = \frac{700}{40 \cdot \sqrt{1.6m}}

Next Step Prepare to Evaluate

∴

A cs = \frac{700}{40 \cdot \sqrt{1.6}}

Next Step Evaluate

∴

A cs = 13.8349647632367m²

LAST Step Rounding Answer

∴

A cs = 13.835m²

Area of Channel Section given Conveyance of Channel Section 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

Conveyance Factor

Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Conveyance Factor

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

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 Discharge

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

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 Conveyance of Channel Section?

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

FAQs on Area of Channel Section given Conveyance of Channel Section

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

The formula of Area of Channel Section given Conveyance of Channel Section is expressed as Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel)). Here is an example- 13.83496 = 700/(40*sqrt(1.6)).

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

With Conveyance Factor (C_f), Chezy's Constant (C) & Hydraulic Radius of Channel (R_H) we can find Area of Channel Section given Conveyance of Channel Section using the formula - Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel)). 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=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)))

Can the Area of Channel Section given Conveyance of Channel Section be negative?

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

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

Area of Channel Section given Conveyance of Channel Section 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 Conveyance of Channel Section can be measured.

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Area of Channel Section given Conveyance of Channel Section Formula

​GoArea of Channel Section given Discharge Formula

​GoArea of Channel Section by Manning's Formula Formula

Area of Channel Section given Conveyance of Channel Section Example

Area of Channel Section given Conveyance of Channel Section Solution

Area of Channel Section given Conveyance of Channel Section 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 Conveyance of Channel Section?

FAQs on Area of Channel Section given Conveyance of Channel Section

Variable Name

GoArea of Channel Section given Discharge Formula

GoArea of Channel Section by Manning's Formula Formula