FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Area of Channel Section by Manning's Formula Formula

GoArea of Channel Section given Discharge Formula

GoArea of Channel Section given Conveyance of Channel Section Formula

Fx Copy

LaTeX Copy

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}{(\frac{1}{n}) \cdot ({R H}^{\frac{2}{3}})}

A_cs - Cross-Sectional Area of Channel?C_f - Conveyance Factor?n - Manning’s Roughness Coefficient?R_H - Hydraulic Radius of Channel?

Area of Channel Section by Manning's Formula Example

With values

With units

Only example

Here is how the Area of Channel Section by Manning's Formula equation looks like with Values.

Here is how the Area of Channel Section by Manning's Formula equation looks like with Units.

Here is how the Area of Channel Section by Manning's Formula equation looks like.

6.1404 = \frac{700}{(\frac{1}{0.012}) \cdot ({1.6}^{\frac{2}{3}})}

6.1404m² = \frac{700}{(\frac{1}{0.012}) \cdot ({1.6m}^{\frac{2}{3}})}

6.1404 = \frac{700}{(\frac{1}{0.012}) \cdot ({1.6}^{\frac{2}{3}})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Area of Channel Section by Manning's Formula

Area of Channel Section by Manning's Formula Solution

Follow our step by step solution on how to calculate Area of Channel Section by Manning's Formula?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A cs = \frac{700}{(\frac{1}{0.012}) \cdot ({1.6m}^{\frac{2}{3}})}

Next Step Prepare to Evaluate

∴

A cs = \frac{700}{(\frac{1}{0.012}) \cdot ({1.6}^{\frac{2}{3}})}

Next Step Evaluate

∴

A cs = 6.14043725024702m²

LAST Step Rounding Answer

∴

A cs = 6.1404m²

Area of Channel Section by Manning's Formula Formula Elements

Variables

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

Manning’s Roughness Coefficient

Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Manning’s Roughness Coefficient

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

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 given Conveyance of Channel Section

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

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 by Manning's Formula?

Area of Channel Section by Manning's Formula evaluator uses Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))) to evaluate 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 A_cs symbol.

How to evaluate Area of Channel Section by Manning's Formula using this online evaluator? To use this online evaluator for Area of Channel Section by Manning's Formula, enter Conveyance Factor (C_f), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H) and hit the calculate button.

FAQs on Area of Channel Section by Manning's Formula

What is the formula to find Area of Channel Section by Manning's Formula?

The formula of Area of Channel Section by Manning's Formula is expressed as Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))). Here is an example- 6.140437 = 700/((1/0.012)*(1.6^(2/3))).

How to calculate Area of Channel Section by Manning's Formula?

With Conveyance Factor (C_f), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H) we can find Area of Channel Section by Manning's Formula using the formula - Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))).

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/(Chezy's Constant*sqrt(Hydraulic Radius of Channel))

Can the Area of Channel Section by Manning's Formula be negative?

No, the Area of Channel Section by Manning's Formula, measured in Area cannot be negative.

Which unit is used to measure Area of Channel Section by Manning's Formula?

Area of Channel Section by Manning's Formula 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 by Manning's Formula can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Area of Channel Section by Manning's Formula Formula

​GoArea of Channel Section given Discharge Formula

​GoArea of Channel Section given Conveyance of Channel Section Formula

Area of Channel Section by Manning's Formula Example

Area of Channel Section by Manning's Formula Solution

Area of Channel Section by Manning's Formula 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 by Manning's Formula?

FAQs on Area of Channel Section by Manning's Formula

Variable Name

GoArea of Channel Section given Discharge Formula

GoArea of Channel Section given Conveyance of Channel Section Formula