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Cross-sectional Area using Manning's Law Formula

GoCross-sectional Area using Chezy's Law Formula

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Cross-Sectional Area 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 = {(K \cdot n \cdot P^{\frac{2}{3}})}^{\frac{3}{5}}

A - Cross-Sectional Area?K - Conveyance Function?n - Manning’s Roughness Coefficient?P - Wetted Perimeter?

Cross-sectional Area using Manning's Law Example

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Here is how the Cross-sectional Area using Manning's Law equation looks like with Values.

Here is how the Cross-sectional Area using Manning's Law equation looks like with Units.

Here is how the Cross-sectional Area using Manning's Law equation looks like.

11.804 = {(8 \cdot 0.412 \cdot 80^{\frac{2}{3}})}^{\frac{3}{5}}

11.804m² = {(8 \cdot 0.412 \cdot {80m}^{\frac{2}{3}})}^{\frac{3}{5}}

11.804 = {(8 \cdot 0.412 \cdot 80^{\frac{2}{3}})}^{\frac{3}{5}}

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Cross-sectional Area using Manning's Law Solution

Follow our step by step solution on how to calculate Cross-sectional Area using Manning's Law?

FIRST Step Consider the formula

A = {(K \cdot n \cdot P^{\frac{2}{3}})}^{\frac{3}{5}}

Next Step Substitute values of Variables

∴

A = {(8 \cdot 0.412 \cdot {80m}^{\frac{2}{3}})}^{\frac{3}{5}}

Next Step Prepare to Evaluate

∴

A = {(8 \cdot 0.412 \cdot 80^{\frac{2}{3}})}^{\frac{3}{5}}

Next Step Evaluate

∴

A = 11.8039759672834m²

LAST Step Rounding Answer

∴

A = 11.804m²

Cross-sectional Area using Manning's Law Formula Elements

Variables

Cross-Sectional Area

Cross-Sectional Area 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

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area

Conveyance Function

Conveyance Function on stage at a section may be determined empirically or by a standard friction law.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Conveyance Function

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 can be positive or negative.

Formulas to find Manning’s Roughness Coefficient

Wetted Perimeter

Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wetted Perimeter

Other Formulas to find Cross-Sectional Area

Go Cross-sectional Area using Chezy's Law

A = {(\frac{K \cdot P^{\frac{1}{2}}}{C})}^{\frac{2}{3}}

Other formulas in Intermediate and High Flows category

Go Conveyance Function Determined by Manning's Law

K = (\frac{1}{n}) \cdot \frac{{(A)}^{\frac{5}{3}}}{{(P)}^{\frac{2}{3}}}

Go Wetted Perimeter from Manning's Law

P = {((\frac{1}{n}) \cdot (\frac{A^{\frac{5}{3}}}{K}))}^{\frac{3}{2}}

Go Friction Slope

S f = \frac{{Q instant}^{2}}{K^{2}}

Go Instantaneous Discharge given Friction Slope

Q instant = \sqrt{S f \cdot K^{2}}

How to Evaluate Cross-sectional Area using Manning's Law?

Cross-sectional Area using Manning's Law evaluator uses Cross-Sectional Area = (Conveyance Function*Manning’s Roughness Coefficient*Wetted Perimeter^(2/3))^(3/5) to evaluate the Cross-Sectional Area, The Cross-sectional Area using Manning's Law formula is defined as the area of flow calculated as the product of the conveyance function, manning's coefficient and wetted perimeter. Cross-Sectional Area is denoted by A symbol.

How to evaluate Cross-sectional Area using Manning's Law using this online evaluator? To use this online evaluator for Cross-sectional Area using Manning's Law, enter Conveyance Function (K), Manning’s Roughness Coefficient (n) & Wetted Perimeter (P) and hit the calculate button.

FAQs on Cross-sectional Area using Manning's Law

What is the formula to find Cross-sectional Area using Manning's Law?

The formula of Cross-sectional Area using Manning's Law is expressed as Cross-Sectional Area = (Conveyance Function*Manning’s Roughness Coefficient*Wetted Perimeter^(2/3))^(3/5). Here is an example- 11.80398 = (8*0.412*80^(2/3))^(3/5).

How to calculate Cross-sectional Area using Manning's Law?

With Conveyance Function (K), Manning’s Roughness Coefficient (n) & Wetted Perimeter (P) we can find Cross-sectional Area using Manning's Law using the formula - Cross-Sectional Area = (Conveyance Function*Manning’s Roughness Coefficient*Wetted Perimeter^(2/3))^(3/5).

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

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

Cross-Sectional Area=((Conveyance Function*Wetted Perimeter^(1/2))/Chézy’s Coefficients)^(2/3)

Can the Cross-sectional Area using Manning's Law be negative?

No, the Cross-sectional Area using Manning's Law, measured in Area cannot be negative.

Which unit is used to measure Cross-sectional Area using Manning's Law?

Cross-sectional Area using Manning's Law 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 Cross-sectional Area using Manning's Law can be measured.

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Cross-sectional Area using Manning's Law Formula

​GoCross-sectional Area using Chezy's Law Formula

Cross-sectional Area using Manning's Law Example

Cross-sectional Area using Manning's Law Solution

Cross-sectional Area using Manning's Law Formula Elements

Other Formulas to find Cross-Sectional Area

Other formulas in Intermediate and High Flows category

How to Evaluate Cross-sectional Area using Manning's Law?

FAQs on Cross-sectional Area using Manning's Law

Variable Name

GoCross-sectional Area using Chezy's Law Formula