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Wetted Perimeter from Manning's Law Formula

GoWetted Perimeter using Chezy's Law Formula

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

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

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

Wetted Perimeter from Manning's Law Example

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Here is how the Wetted Perimeter from Manning's Law equation looks like with Values.

Here is how the Wetted Perimeter from Manning's Law equation looks like with Units.

Here is how the Wetted Perimeter from Manning's Law equation looks like.

83.3628 = {((\frac{1}{0.412}) \cdot (\frac{12^{\frac{5}{3}}}{8}))}^{\frac{3}{2}}

83.3628m = {((\frac{1}{0.412}) \cdot (\frac{{12m²}^{\frac{5}{3}}}{8}))}^{\frac{3}{2}}

83.3628 = {((\frac{1}{0.412}) \cdot (\frac{12^{\frac{5}{3}}}{8}))}^{\frac{3}{2}}

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Wetted Perimeter from Manning's Law Solution

Follow our step by step solution on how to calculate Wetted Perimeter from Manning's Law?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = {((\frac{1}{0.412}) \cdot (\frac{{12m²}^{\frac{5}{3}}}{8}))}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

P = {((\frac{1}{0.412}) \cdot (\frac{12^{\frac{5}{3}}}{8}))}^{\frac{3}{2}}

Next Step Evaluate

∴

P = 83.3628033100679m

LAST Step Rounding Answer

∴

P = 83.3628m

Wetted Perimeter from Manning's Law Formula Elements

Variables

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

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

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

Other Formulas to find Wetted Perimeter

Go Wetted Perimeter using Chezy's Law

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

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 Cross-sectional Area using Manning's Law

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

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 Wetted Perimeter from Manning's Law?

Wetted Perimeter from Manning's Law evaluator uses Wetted Perimeter = ((1/Manning’s Roughness Coefficient)*(Cross-Sectional Area^(5/3)/Conveyance Function))^(3/2) to evaluate the Wetted Perimeter, The Wetted Perimeter from Manning's Law formula is an empirical equation describing the relationship between the velocity in a conduit and the channel geometry, slope, and friction coefficient expressed as a Manning n. Wetted Perimeter is denoted by P symbol.

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

FAQs on Wetted Perimeter from Manning's Law

What is the formula to find Wetted Perimeter from Manning's Law?

The formula of Wetted Perimeter from Manning's Law is expressed as Wetted Perimeter = ((1/Manning’s Roughness Coefficient)*(Cross-Sectional Area^(5/3)/Conveyance Function))^(3/2). Here is an example- 83.3628 = ((1/0.412)*(12^(5/3)/8))^(3/2).

How to calculate Wetted Perimeter from Manning's Law?

With Manning’s Roughness Coefficient (n), Cross-Sectional Area (A) & Conveyance Function (K) we can find Wetted Perimeter from Manning's Law using the formula - Wetted Perimeter = ((1/Manning’s Roughness Coefficient)*(Cross-Sectional Area^(5/3)/Conveyance Function))^(3/2).

What are the other ways to Calculate Wetted Perimeter?

Here are the different ways to Calculate Wetted Perimeter-

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

Can the Wetted Perimeter from Manning's Law be negative?

No, the Wetted Perimeter from Manning's Law, measured in Length cannot be negative.

Which unit is used to measure Wetted Perimeter from Manning's Law?

Wetted Perimeter from Manning's Law is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wetted Perimeter from Manning's Law can be measured.

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Wetted Perimeter from Manning's Law Formula

​GoWetted Perimeter using Chezy's Law Formula

Wetted Perimeter from Manning's Law Example

Wetted Perimeter from Manning's Law Solution

Wetted Perimeter from Manning's Law Formula Elements

Other Formulas to find Wetted Perimeter

Other formulas in Intermediate and High Flows category

How to Evaluate Wetted Perimeter from Manning's Law?

FAQs on Wetted Perimeter from Manning's Law

Variable Name

GoWetted Perimeter using Chezy's Law Formula