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Area of Channel with known Conveyance of Channel 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 = \frac{K}{{r H}^{\frac{2}{3}}} \cdot (\frac{1}{n})

A - Cross-Sectional Area?K - Conveyance Function?r_H - Hydraulic Radius?n - Manning’s Roughness Coefficient?

Area of Channel with known Conveyance of Channel Example

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

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

Here is how the Area of Channel with known Conveyance of Channel equation looks like.

40.6615 = \frac{8}{{0.33}^{\frac{2}{3}}} \cdot (\frac{1}{0.412})

40.6615m² = \frac{8}{{0.33m}^{\frac{2}{3}}} \cdot (\frac{1}{0.412})

40.6615 = \frac{8}{{0.33}^{\frac{2}{3}}} \cdot (\frac{1}{0.412})

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Area of Channel with known Conveyance of Channel Solution

Follow our step by step solution on how to calculate Area of Channel with known Conveyance of Channel?

FIRST Step Consider the formula

A = \frac{K}{{r H}^{\frac{2}{3}}} \cdot (\frac{1}{n})

Next Step Substitute values of Variables

∴

A = \frac{8}{{0.33m}^{\frac{2}{3}}} \cdot (\frac{1}{0.412})

Next Step Prepare to Evaluate

∴

A = \frac{8}{{0.33}^{\frac{2}{3}}} \cdot (\frac{1}{0.412})

Next Step Evaluate

∴

A = 40.6615076787948m²

LAST Step Rounding Answer

∴

A = 40.6615m²

Area of Channel with known Conveyance of Channel 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

Hydraulic Radius

Hydraulic Radius 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 can be positive or negative.

Formulas to find Hydraulic Radius

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

Other formulas in Uniform Flow category

Go Length of Reach by Manning's Formula for Uniform Flow

L = \frac{h f}{S f}

Go Frictional Loss given Energy Slope

h f = S f \cdot L

Go Energy Slope for Uniform Flow

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

Go Conveyance of Channel given Energy Slope

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

How to Evaluate Area of Channel with known Conveyance of Channel?

Area of Channel with known Conveyance of Channel evaluator uses Cross-Sectional Area = Conveyance Function/Hydraulic Radius^(2/3)*(1/Manning’s Roughness Coefficient) to evaluate the Cross-Sectional Area, The Area of Channel with known Conveyance of Channel formula is defined as the channel cross-sectional area for the fluid flow. Cross-Sectional Area is denoted by A symbol.

How to evaluate Area of Channel with known Conveyance of Channel using this online evaluator? To use this online evaluator for Area of Channel with known Conveyance of Channel, enter Conveyance Function (K), Hydraulic Radius (r_H) & Manning’s Roughness Coefficient (n) and hit the calculate button.

FAQs on Area of Channel with known Conveyance of Channel

What is the formula to find Area of Channel with known Conveyance of Channel?

The formula of Area of Channel with known Conveyance of Channel is expressed as Cross-Sectional Area = Conveyance Function/Hydraulic Radius^(2/3)*(1/Manning’s Roughness Coefficient). Here is an example- 40.66151 = 8/0.33^(2/3)*(1/0.412).

How to calculate Area of Channel with known Conveyance of Channel?

With Conveyance Function (K), Hydraulic Radius (r_H) & Manning’s Roughness Coefficient (n) we can find Area of Channel with known Conveyance of Channel using the formula - Cross-Sectional Area = Conveyance Function/Hydraulic Radius^(2/3)*(1/Manning’s Roughness Coefficient).

Can the Area of Channel with known Conveyance of Channel be negative?

No, the Area of Channel with known Conveyance of Channel, measured in Area cannot be negative.

Which unit is used to measure Area of Channel with known Conveyance of Channel?

Area of Channel with known Conveyance of Channel 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 with known Conveyance of Channel can be measured.

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