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Bed Slope given Energy Slope of Rectangular channel Formula

GoBed Slope given Slope of Dynamic Equation of Gradually Varied Flow Formula

GoBottom Slope of Channel given Energy Gradient Formula

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Bed Slope of Channel 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 0 = \frac{S f}{{(\frac{C}{d f})}^{\frac{10}{3}}}

S₀ - Bed Slope of Channel?S_f - Energy Slope?C - Critical Depth of Channel?d_f - Depth of Flow?

Bed Slope given Energy Slope of Rectangular channel Example

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Here is how the Bed Slope given Energy Slope of Rectangular channel equation looks like with Values.

Here is how the Bed Slope given Energy Slope of Rectangular channel equation looks like with Units.

Here is how the Bed Slope given Energy Slope of Rectangular channel equation looks like.

2.7493 = \frac{2.001}{{(\frac{3}{3.3})}^{\frac{10}{3}}}

2.7493 = \frac{2.001}{{(\frac{3m}{3.3m})}^{\frac{10}{3}}}

2.7493 = \frac{2.001}{{(\frac{3}{3.3})}^{\frac{10}{3}}}

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Bed Slope given Energy Slope of Rectangular channel Solution

Follow our step by step solution on how to calculate Bed Slope given Energy Slope of Rectangular channel?

FIRST Step Consider the formula

S 0 = \frac{S f}{{(\frac{C}{d f})}^{\frac{10}{3}}}

Next Step Substitute values of Variables

∴

S 0 = \frac{2.001}{{(\frac{3m}{3.3m})}^{\frac{10}{3}}}

Next Step Prepare to Evaluate

∴

S 0 = \frac{2.001}{{(\frac{3}{3.3})}^{\frac{10}{3}}}

Next Step Evaluate

∴

S 0 = 2.74930363217852

LAST Step Rounding Answer

∴

S 0 = 2.7493

Bed Slope given Energy Slope of Rectangular channel Formula Elements

Variables

Bed Slope of Channel

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

Symbol: S₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope of Channel

Energy Slope

Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

Symbol: S_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Energy Slope

Critical Depth of Channel

Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.

Symbol: C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Channel

Depth of Flow

Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Flow

Other Formulas to find Bed Slope of Channel

Go Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

S 0 = S f + (m \cdot (1 - ({F r(d)}^{2})))

Go Bottom Slope of Channel given Energy Gradient

S 0 = i + S f

Go Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel

S 0 = \frac{S f}{{(\frac{C}{d f})}^{3}}

Other formulas in Gradually Varied Flow in Channels category

Go Slope of Dynamic Equation of Gradually Varied Flows

m = \frac{S 0 - S f}{1 - ({F r(d)}^{2})}

Go Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

F r(d) = \sqrt{1 - (\frac{S 0 - S f}{m})}

Go Froude Number given Top Width

Fr = \sqrt{{Q f}^{2} \cdot \frac{T}{[g] \cdot S^{3}}}

Go Discharge given Froude Number

Q f = \frac{Fr}{\sqrt{\frac{T}{[g] \cdot S^{3}}}}

How to Evaluate Bed Slope given Energy Slope of Rectangular channel?

Bed Slope given Energy Slope of Rectangular channel evaluator uses Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3) to evaluate the Bed Slope of Channel, The Bed Slope given Energy Slope of Rectangular channel formula is defined as slope of bed in channel. Bed Slope of Channel is denoted by S₀ symbol.

How to evaluate Bed Slope given Energy Slope of Rectangular channel using this online evaluator? To use this online evaluator for Bed Slope given Energy Slope of Rectangular channel, enter Energy Slope (S_f), Critical Depth of Channel (C) & Depth of Flow (d_f) and hit the calculate button.

FAQs on Bed Slope given Energy Slope of Rectangular channel

What is the formula to find Bed Slope given Energy Slope of Rectangular channel?

The formula of Bed Slope given Energy Slope of Rectangular channel is expressed as Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3). Here is an example- 2.749304 = 2.001/(3/3.3)^(10/3).

How to calculate Bed Slope given Energy Slope of Rectangular channel?

With Energy Slope (S_f), Critical Depth of Channel (C) & Depth of Flow (d_f) we can find Bed Slope given Energy Slope of Rectangular channel using the formula - Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3).

What are the other ways to Calculate Bed Slope of Channel?

Here are the different ways to Calculate Bed Slope of Channel-

Bed Slope of Channel=Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))
Bed Slope of Channel=Hydraulic Gradient to Head Loss+Energy Slope
Bed Slope of Channel=Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3)

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Bed Slope given Energy Slope of Rectangular channel Formula

​GoBed Slope given Slope of Dynamic Equation of Gradually Varied Flow Formula

​GoBottom Slope of Channel given Energy Gradient Formula

Bed Slope given Energy Slope of Rectangular channel Example

Bed Slope given Energy Slope of Rectangular channel Solution

Bed Slope given Energy Slope of Rectangular channel Formula Elements

Other Formulas to find Bed Slope of Channel

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Bed Slope given Energy Slope of Rectangular channel?

FAQs on Bed Slope given Energy Slope of Rectangular channel

Variable Name

GoBed Slope given Slope of Dynamic Equation of Gradually Varied Flow Formula

GoBottom Slope of Channel given Energy Gradient Formula