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Hydraulic Radius of Channel Section given Discharge Formula

GoHydraulic Radius of Channel Section given Conveyance of Channel Section Formula

GoManning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section Formula

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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. Check FAQs

R H = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{S}

R_H - Hydraulic Radius of Channel?Q - Discharge of Channel?C - Chezy's Constant?A_cs - Cross-Sectional Area of Channel?S - Bed Slope?

Hydraulic Radius of Channel Section given Discharge Example

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Here is how the Hydraulic Radius of Channel Section given Discharge equation looks like with Values.

Here is how the Hydraulic Radius of Channel Section given Discharge equation looks like with Units.

Here is how the Hydraulic Radius of Channel Section given Discharge equation looks like.

1.3611 = \frac{{(\frac{14}{40 \cdot 15})}^{2}}{0.0004}

1.3611m = \frac{{(\frac{14m³/s}{40 \cdot 15m²})}^{2}}{0.0004}

1.3611 = \frac{{(\frac{14}{40 \cdot 15})}^{2}}{0.0004}

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Hydraulic Radius of Channel Section given Discharge Solution

Follow our step by step solution on how to calculate Hydraulic Radius of Channel Section given Discharge?

FIRST Step Consider the formula

R H = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{S}

Next Step Substitute values of Variables

∴

R H = \frac{{(\frac{14m³/s}{40 \cdot 15m²})}^{2}}{0.0004}

Next Step Prepare to Evaluate

∴

R H = \frac{{(\frac{14}{40 \cdot 15})}^{2}}{0.0004}

Next Step Evaluate

∴

R H = 1.36111111111111m

LAST Step Rounding Answer

∴

R H = 1.3611m

Hydraulic Radius of Channel Section given Discharge Formula Elements

Variables

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

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

Chezy's Constant

The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant

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

Bed Slope

Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

Other Formulas to find Hydraulic Radius of Channel

Go Hydraulic Radius of Channel Section given Conveyance of Channel Section

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

Go Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section

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

Other formulas in Computation of Uniform Flow category

Go Discharge through Channel

Q = C \cdot A cs \cdot \sqrt{R H \cdot S}

Go Area of Channel Section given Discharge

A cs = \frac{Q}{C \cdot \sqrt{R H \cdot 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 Hydraulic Radius of Channel Section given Discharge?

Hydraulic Radius of Channel Section given Discharge evaluator uses Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope to evaluate the Hydraulic Radius of Channel, The Hydraulic Radius of Channel Section given Discharge formula is defined as ratio of wetted area to wetted perimeter of section. Hydraulic Radius of Channel is denoted by R_H symbol.

How to evaluate Hydraulic Radius of Channel Section given Discharge using this online evaluator? To use this online evaluator for Hydraulic Radius of Channel Section given Discharge, enter Discharge of Channel (Q), Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs) & Bed Slope (S) and hit the calculate button.

FAQs on Hydraulic Radius of Channel Section given Discharge

What is the formula to find Hydraulic Radius of Channel Section given Discharge?

The formula of Hydraulic Radius of Channel Section given Discharge is expressed as Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope. Here is an example- 26.49221 = ((14/(40*15))^2)/0.0004.

How to calculate Hydraulic Radius of Channel Section given Discharge?

With Discharge of Channel (Q), Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs) & Bed Slope (S) we can find Hydraulic Radius of Channel Section given Discharge using the formula - Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope.

What are the other ways to Calculate Hydraulic Radius of Channel?

Here are the different ways to Calculate Hydraulic Radius of Channel-

Hydraulic Radius of Channel=(Conveyance Factor/(Chezy's Constant*Cross-Sectional Area of Channel))^2
Hydraulic Radius of Channel=(Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2)

Can the Hydraulic Radius of Channel Section given Discharge be negative?

No, the Hydraulic Radius of Channel Section given Discharge, measured in Length cannot be negative.

Which unit is used to measure Hydraulic Radius of Channel Section given Discharge?

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

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Hydraulic Radius of Channel Section given Discharge Formula

​GoHydraulic Radius of Channel Section given Conveyance of Channel Section Formula

​GoManning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section Formula

Hydraulic Radius of Channel Section given Discharge Example

Hydraulic Radius of Channel Section given Discharge Solution

Hydraulic Radius of Channel Section given Discharge Formula Elements

Other Formulas to find Hydraulic Radius of Channel

Other formulas in Computation of Uniform Flow category

How to Evaluate Hydraulic Radius of Channel Section given Discharge?

FAQs on Hydraulic Radius of Channel Section given Discharge

Variable Name

GoHydraulic Radius of Channel Section given Conveyance of Channel Section Formula

GoManning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section Formula