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Energy Slope is at a distance equal to the velocity head above the hydraulic gradient. Check FAQs
Sf=S0(Cdf)103
Sf - Energy Slope?S0 - Bed Slope of Channel?C - Critical Depth of Channel?df - Depth of Flow?

Energy Slope of Rectangular channel Example

With values
With units
Only example

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

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

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

2.912Edit=4.001Edit(3Edit3.3Edit)103
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Energy Slope of Rectangular channel Solution

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

FIRST Step Consider the formula
Sf=S0(Cdf)103
Next Step Substitute values of Variables
Sf=4.001(3m3.3m)103
Next Step Prepare to Evaluate
Sf=4.001(33.3)103
Next Step Evaluate
Sf=2.91201048378062
LAST Step Rounding Answer
Sf=2.912

Energy Slope of Rectangular channel 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.
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.
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.
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: df
Measurement: LengthUnit: m
Note: Value should be greater than 0.

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

How to Evaluate Energy Slope of Rectangular channel?

Energy Slope of Rectangular channel evaluator uses Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3) to evaluate the Energy Slope, The Energy Slope of Rectangular channel formula is defined as the slope of energy line of the channel in open channel flow. Energy Slope is denoted by Sf symbol.

How to evaluate Energy Slope of Rectangular channel using this online evaluator? To use this online evaluator for Energy Slope of Rectangular channel, enter Bed Slope of Channel (S0), Critical Depth of Channel (C) & Depth of Flow (df) and hit the calculate button.

FAQs on Energy Slope of Rectangular channel

What is the formula to find Energy Slope of Rectangular channel?
The formula of Energy Slope of Rectangular channel is expressed as Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3). Here is an example- 2.91201 = 4.001*(3/3.3)^(10/3).
How to calculate Energy Slope of Rectangular channel?
With Bed Slope of Channel (S0), Critical Depth of Channel (C) & Depth of Flow (df) we can find Energy Slope of Rectangular channel using the formula - Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3).
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-Hydraulic Gradient to Head LossOpenImg
  • Energy Slope=Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(3)OpenImg
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