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Energy Slope is at a distance equal to the velocity head above the hydraulic gradient. Check FAQs
Sf=S0-i
Sf - Energy Slope?S0 - Bed Slope of Channel?i - Hydraulic Gradient to Head Loss?

Energy Slope of Channel given Energy Gradient Example

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

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

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

1.981Edit=4.001Edit-2.02Edit
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HomeIcon Home » Category Engineering » Category Civil » Category Hydraulics and Waterworks » fx Energy Slope of Channel given Energy Gradient

Energy Slope of Channel given Energy Gradient Solution

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

FIRST Step Consider the formula
Sf=S0-i
Next Step Substitute values of Variables
∴ Sf=4.001-2.02
Next Step Prepare to Evaluate
∴ Sf=4.001-2.02
LAST Step Evaluate
∴Sf=1.981

Energy Slope of Channel given Energy Gradient 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
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 LossOpen Variable

Other Formulas to find Energy Slope

​Go Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow
Sf=S0-(m⋅(1-(Fr(d)2)))
​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 of Channel given Energy Gradient?

Energy Slope of Channel given Energy Gradient evaluator uses Energy Slope = Bed Slope of Channel-Hydraulic Gradient to Head Loss to evaluate the Energy Slope, The Energy Slope of channel given Energy Gradient formula is defined as slope of energy line in ocf. Energy Slope is denoted by Sf symbol.

How to evaluate Energy Slope of Channel given Energy Gradient using this online evaluator? To use this online evaluator for Energy Slope of Channel given Energy Gradient, enter Bed Slope of Channel (S0) & Hydraulic Gradient to Head Loss (i) and hit the calculate button.

FAQs on Energy Slope of Channel given Energy Gradient

What is the formula to find Energy Slope of Channel given Energy Gradient?
The formula of Energy Slope of Channel given Energy Gradient is expressed as Energy Slope = Bed Slope of Channel-Hydraulic Gradient to Head Loss. Here is an example- 1.981 = 4.001-2.02.
How to calculate Energy Slope of Channel given Energy Gradient?
With Bed Slope of Channel (S0) & Hydraulic Gradient to Head Loss (i) we can find Energy Slope of Channel given Energy Gradient using the formula - Energy Slope = Bed Slope of Channel-Hydraulic Gradient to Head Loss.
What are the other ways to Calculate Energy Slope?
Here are the different ways to Calculate Energy Slope-
  • Energy Slope=Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2)))OpenImg
  • 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
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