FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health
Fx Copy
LaTeX Copy
Energy Slope is at a distance equal to the velocity head above the hydraulic gradient. Check FAQs
Sf=S0-(m⋅(1-(Fr(d)2)))
Sf - Energy Slope?S0 - Bed Slope of Channel?m - Slope of Line?Fr(d) - Froude No by Dynamic Equation?

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

With values
With units
Only example

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

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

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

1.961Edit=4.001Edit-(4Edit⋅(1-(0.7Edit2)))
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Engineering » Category Civil » Category Hydraulics and Waterworks » fx Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow

Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow Solution

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

FIRST Step Consider the formula
Sf=S0-(m⋅(1-(Fr(d)2)))
Next Step Substitute values of Variables
∴ Sf=4.001-(4⋅(1-(0.72)))
Next Step Prepare to Evaluate
∴ Sf=4.001-(4⋅(1-(0.72)))
LAST Step Evaluate
∴Sf=1.961

Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow Formula Elements

Variables
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
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
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 Energy Slope

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

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

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

How to evaluate Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow using this online evaluator? To use this online evaluator for Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow, enter Bed Slope of Channel (S0), Slope of Line (m) & Froude No by Dynamic Equation (Fr(d)) and hit the calculate button.

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

What is the formula to find Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow?
The formula of Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow is expressed as Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2))). Here is an example- 1.961 = 4.001-(4*(1-(0.7^2))).
How to calculate Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow?
With Bed Slope of Channel (S0), Slope of Line (m) & Froude No by Dynamic Equation (Fr(d)) we can find Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow using the formula - Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2))).
What are the other ways to Calculate Energy Slope?
Here are the different ways to Calculate Energy Slope-
  • Energy Slope=Bed Slope of Channel-Hydraulic Gradient to Head LossOpenImg
  • Energy Slope=Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3)OpenImg
  • Energy Slope=Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(3)OpenImg
About | Contact | Disclaimer | Terms | Privacy Policy
© 2024. Developed & Maintained by softUsvista Inc.
Copied!