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Bottom Slope of Channel given Energy Gradient Formula

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

GoBed Slope given Energy Slope of Rectangular channel 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 = i + S f

S₀ - Bed Slope of Channel?i - Hydraulic Gradient to Head Loss?S_f - Energy Slope?

Bottom Slope of Channel given Energy Gradient Example

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Here is how the Bottom Slope of Channel given Energy Gradient equation looks like with Values.

Here is how the Bottom Slope of Channel given Energy Gradient equation looks like with Units.

Here is how the Bottom Slope of Channel given Energy Gradient equation looks like.

4.021 = 2.02 + 2.001

4.021 = 2.02 + 2.001

4.021 = 2.02 + 2.001

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Bottom Slope of Channel given Energy Gradient Solution

Follow our step by step solution on how to calculate Bottom Slope of Channel given Energy Gradient?

FIRST Step Consider the formula

S 0 = i + S f

Next Step Substitute values of Variables

∴

S 0 = 2.02 + 2.001

Next Step Prepare to Evaluate

∴

S 0 = 2.02 + 2.001

LAST Step Evaluate

∴

S 0 = 4.021

Bottom Slope of Channel given Energy Gradient 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

Hydraulic Gradient to Head Loss

Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hydraulic Gradient to Head Loss

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

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 Bed Slope given Energy Slope of Rectangular channel

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

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 Bottom Slope of Channel given Energy Gradient?

Bottom Slope of Channel given Energy Gradient evaluator uses Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope to evaluate the Bed Slope of Channel, The Bottom Slope of channel given Energy Gradient formula is defined as slope of channel bed of OCF. Bed Slope of Channel is denoted by S₀ symbol.

How to evaluate Bottom Slope of Channel given Energy Gradient using this online evaluator? To use this online evaluator for Bottom Slope of Channel given Energy Gradient, enter Hydraulic Gradient to Head Loss (i) & Energy Slope (S_f) and hit the calculate button.

FAQs on Bottom Slope of Channel given Energy Gradient

What is the formula to find Bottom Slope of Channel given Energy Gradient?

The formula of Bottom Slope of Channel given Energy Gradient is expressed as Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope. Here is an example- 4.021 = 2.02+2.001.

How to calculate Bottom Slope of Channel given Energy Gradient?

With Hydraulic Gradient to Head Loss (i) & Energy Slope (S_f) we can find Bottom Slope of Channel given Energy Gradient using the formula - Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope.

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=Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3)
Bed Slope of Channel=Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3)

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Bottom Slope of Channel given Energy Gradient Formula

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

​GoBed Slope given Energy Slope of Rectangular channel Formula

Bottom Slope of Channel given Energy Gradient Example

Bottom Slope of Channel given Energy Gradient Solution

Bottom Slope of Channel given Energy Gradient Formula Elements

Other Formulas to find Bed Slope of Channel

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Bottom Slope of Channel given Energy Gradient?

FAQs on Bottom Slope of Channel given Energy Gradient

Variable Name

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

GoBed Slope given Energy Slope of Rectangular channel Formula