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Hydraulic Radius given Conveyance of Channel for Uniform Flow Formula

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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. Check FAQs

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

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

Hydraulic Radius given Conveyance of Channel for Uniform Flow Example

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Here is how the Hydraulic Radius given Conveyance of Channel for Uniform Flow equation looks like with Values.

Here is how the Hydraulic Radius given Conveyance of Channel for Uniform Flow equation looks like with Units.

Here is how the Hydraulic Radius given Conveyance of Channel for Uniform Flow equation looks like.

0.1439 = {(\frac{8}{(\frac{1}{0.412}) \cdot 12})}^{\frac{3}{2}}

0.1439m = {(\frac{8}{(\frac{1}{0.412}) \cdot 12m²})}^{\frac{3}{2}}

0.1439 = {(\frac{8}{(\frac{1}{0.412}) \cdot 12})}^{\frac{3}{2}}

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Hydraulic Radius given Conveyance of Channel for Uniform Flow Solution

Follow our step by step solution on how to calculate Hydraulic Radius given Conveyance of Channel for Uniform Flow?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

r H = {(\frac{8}{(\frac{1}{0.412}) \cdot 12})}^{\frac{3}{2}}

Next Step Evaluate

∴

r H = 0.143949093882628m

LAST Step Rounding Answer

∴

r H = 0.1439m

Hydraulic Radius given Conveyance of Channel for Uniform Flow Formula Elements

Variables

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

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

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

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 Hydraulic Radius given Conveyance of Channel for Uniform Flow?

Hydraulic Radius given Conveyance of Channel for Uniform Flow evaluator uses Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2) to evaluate the Hydraulic Radius, The Hydraulic Radius given Conveyance of Channel for Uniform Flow formula is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit. Hydraulic Radius is denoted by r_H symbol.

How to evaluate Hydraulic Radius given Conveyance of Channel for Uniform Flow using this online evaluator? To use this online evaluator for Hydraulic Radius given Conveyance of Channel for Uniform Flow, enter Conveyance Function (K), Manning’s Roughness Coefficient (n) & Cross-Sectional Area (A) and hit the calculate button.

FAQs on Hydraulic Radius given Conveyance of Channel for Uniform Flow

What is the formula to find Hydraulic Radius given Conveyance of Channel for Uniform Flow?

The formula of Hydraulic Radius given Conveyance of Channel for Uniform Flow is expressed as Hydraulic Radius = (Conveyance Function/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area))^(3/2). Here is an example- 0.143949 = (8/((1/0.412)*12))^(3/2).

How to calculate Hydraulic Radius given Conveyance of Channel for Uniform Flow?

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

Can the Hydraulic Radius given Conveyance of Channel for Uniform Flow be negative?

Yes, the Hydraulic Radius given Conveyance of Channel for Uniform Flow, measured in Length can be negative.

Which unit is used to measure Hydraulic Radius given Conveyance of Channel for Uniform Flow?

Hydraulic Radius given Conveyance of Channel for Uniform Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Radius given Conveyance of Channel for Uniform Flow can be measured.

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