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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
S0=Sf+(m⋅(1-(Fr(d)2)))
S0 - Bed Slope of Channel?Sf - Energy Slope?m - Slope of Line?Fr(d) - Froude No by Dynamic Equation?

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

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Here is how the Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow equation looks like with Values.

Here is how the Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow equation looks like with Units.

Here is how the Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow equation looks like.

4.041Edit=2.001Edit+(4Edit⋅(1-(0.7Edit2)))
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Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow Solution

Follow our step by step solution on how to calculate Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow?

FIRST Step Consider the formula
S0=Sf+(m⋅(1-(Fr(d)2)))
Next Step Substitute values of Variables
∴ S0=2.001+(4⋅(1-(0.72)))
Next Step Prepare to Evaluate
∴ S0=2.001+(4⋅(1-(0.72)))
LAST Step Evaluate
∴S0=4.041

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow 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 ChannelOpen Variable
Energy Slope
Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
Symbol: Sf
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Energy SlopeOpen Variable
Slope of Line
The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Symbol: m
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Slope of LineOpen Variable
Froude No by Dynamic Equation
Froude No by Dynamic Equation is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.
Symbol: Fr(d)
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Froude No by Dynamic EquationOpen Variable

Other Formulas to find Bed Slope of Channel

​Go Bottom Slope of Channel given Energy Gradient
S0=i+Sf
​Go Bed Slope given Energy Slope of Rectangular channel
S0=Sf(Cdf)103
​Go Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel
S0=Sf(Cdf)3

Other formulas in Gradually Varied Flow in Channels category

​Go Slope of Dynamic Equation of Gradually Varied Flows
m=S0-Sf1-(Fr(d)2)
​Go Froude Number given Slope of Dynamic Equation of Gradually Varied Flow
Fr(d)=1-(S0-Sfm)
​Go Froude Number given Top Width
Fr=Qf2⋅T[g]⋅S3
​Go Discharge given Froude Number
Qf=FrT[g]⋅S3

How to Evaluate Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow?

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow evaluator uses Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2))) to evaluate the Bed Slope of Channel, The Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow is defined as slope of channel at any point. Bed Slope of Channel is denoted by S0 symbol.

How to evaluate Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow using this online evaluator? To use this online evaluator for Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow, enter Energy Slope (Sf), Slope of Line (m) & Froude No by Dynamic Equation (Fr(d)) and hit the calculate button.

FAQs on Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

What is the formula to find Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow?
The formula of Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow is expressed as Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2))). Here is an example- 4.041 = 2.001+(4*(1-(0.7^2))).
How to calculate Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow?
With Energy Slope (Sf), Slope of Line (m) & Froude No by Dynamic Equation (Fr(d)) we can find Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow using the formula - Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2))).
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=Hydraulic Gradient to Head Loss+Energy SlopeOpenImg
  • Bed Slope of Channel=Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3)OpenImg
  • Bed Slope of Channel=Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3)OpenImg
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