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Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Formula

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

S = \frac{{(\frac{V avg}{C})}^{2}}{R H}

S - Bed Slope?V_avg - Average Velocity of Flow?C - Chezy's Constant?R_H - Hydraulic Radius of Channel?

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Example

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Here is how the Slope of Channel Bed given Average Velocity in Channel with Chezy Constant equation looks like with Values.

Here is how the Slope of Channel Bed given Average Velocity in Channel with Chezy Constant equation looks like with Units.

Here is how the Slope of Channel Bed given Average Velocity in Channel with Chezy Constant equation looks like.

4E-5 = \frac{{(\frac{0.32}{40})}^{2}}{1.6}

4E-5 = \frac{{(\frac{0.32m/s}{40})}^{2}}{1.6m}

4E-5 = \frac{{(\frac{0.32}{40})}^{2}}{1.6}

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Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Solution

Follow our step by step solution on how to calculate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant?

FIRST Step Consider the formula

S = \frac{{(\frac{V avg}{C})}^{2}}{R H}

Next Step Substitute values of Variables

∴

S = \frac{{(\frac{0.32m/s}{40})}^{2}}{1.6m}

Next Step Prepare to Evaluate

∴

S = \frac{{(\frac{0.32}{40})}^{2}}{1.6}

Next Step Evaluate

∴

S = 4E-05

LAST Step Rounding Answer

∴

S = 4E-5

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Formula Elements

Variables

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

Average Velocity of Flow

Average Velocity of Flow is defined as the mean of all different velocities.

Symbol: V_avg

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Flow

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

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

Other formulas in Chezy Constant in Uniform Flow category

Go Average Velocity in Channel given Chezy Constant

V avg = C \cdot \sqrt{R H \cdot S}

Go Hydraulic Radius given Average Velocity in Channel with Chezy Constant

R H = \frac{{(\frac{V avg}{C})}^{2}}{S}

Go Chezy Constant given Average Velocity in Channel

C = \frac{V avg}{\sqrt{R H \cdot S}}

Go Chezy Constant through Ganguillet-Kutter Formula

C = \frac{23 + (\frac{0.00155}{S}) + (\frac{1}{n})}{1 + (23 + (\frac{0.00155}{S})) \cdot (\frac{n}{\sqrt{D Hydraulic}})}

How to Evaluate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant?

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant evaluator uses Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel to evaluate the Bed Slope, The Slope of Channel Bed given Average Velocity in Channel with Chezy Constant is defined as elevation of channel with respect to horizontal or Ground level. Bed Slope is denoted by S symbol.

How to evaluate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant using this online evaluator? To use this online evaluator for Slope of Channel Bed given Average Velocity in Channel with Chezy Constant, enter Average Velocity of Flow (V_avg), Chezy's Constant (C) & Hydraulic Radius of Channel (R_H) and hit the calculate button.

FAQs on Slope of Channel Bed given Average Velocity in Channel with Chezy Constant

What is the formula to find Slope of Channel Bed given Average Velocity in Channel with Chezy Constant?

The formula of Slope of Channel Bed given Average Velocity in Channel with Chezy Constant is expressed as Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel. Here is an example- 4E-5 = ((0.32/40)^2)/1.6.

How to calculate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant?

With Average Velocity of Flow (V_avg), Chezy's Constant (C) & Hydraulic Radius of Channel (R_H) we can find Slope of Channel Bed given Average Velocity in Channel with Chezy Constant using the formula - Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel.

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Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Formula

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Example

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Solution

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant Formula Elements

Other formulas in Chezy Constant in Uniform Flow category

How to Evaluate Slope of Channel Bed given Average Velocity in Channel with Chezy Constant?

FAQs on Slope of Channel Bed given Average Velocity in Channel with Chezy Constant

Variable Name