Energy Slope of Channel given Energy Gradient Calculator

✖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.ⓘ Bed Slope of Channel [S₀]			+10% -10%
✖Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient to Head Loss [i]			+10% -10%

✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope of Channel given Energy Gradient [S_f]

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Formula

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Energy Slope of Channel given Energy Gradient

Formula

`"S"_{"f"} = "S"_{"0"}-"i"`

Example

`"1.981"="4.001"-"2.02"`

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Download Gradually Varied Flow in Channels Formulas PDF

Energy Slope of Channel given Energy Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Slope = Bed Slope of Channel-Hydraulic Gradient to Head Loss
S_f = S₀-i
This formula uses 3 Variables

Variables Used

Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
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.
Hydraulic Gradient to Head Loss - Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.

STEP 1: Convert Input(s) to Base Unit

Bed Slope of Channel: 4.001 --> No Conversion Required
Hydraulic Gradient to Head Loss: 2.02 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_f = S₀-i --> 4.001-2.02

Evaluating ... ...

S_f = 1.981

STEP 3: Convert Result to Output's Unit

1.981 --> No Conversion Required

FINAL ANSWER

1.981 <-- Energy Slope

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 4 Energy Slope Calculators

Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow

Go Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2)))

Energy Slope of Rectangular channel

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

Chezy Formula for Energy Slope of Rectangular Channel

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

Energy Slope of Channel given Energy Gradient

Go Energy Slope = Bed Slope of Channel-Hydraulic Gradient to Head Loss

Energy Slope of Channel given Energy Gradient Formula

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

What is Gradually Varied Flow?

Gradually varied. flow (GVF), which is a form of steady. nonuniform flow characterized by gradual variations in flow depth and velocity (small slopes and no abrupt changes) and a free surface that always remains smooth (no discontinuities or zigzags).

How to Calculate Energy Slope of Channel given Energy Gradient?

Energy Slope of Channel given Energy Gradient calculator uses Energy Slope = Bed Slope of Channel-Hydraulic Gradient to Head Loss to calculate 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 S_f symbol.

How to calculate Energy Slope of Channel given Energy Gradient using this online calculator? To use this online calculator 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. Here is how the Energy Slope of Channel given Energy Gradient calculation can be explained with given input values -> 1.981 = 4.001-2.02.

FAQ

What is Energy Slope of Channel given Energy Gradient?

The Energy Slope of channel given Energy Gradient formula is defined as slope of energy line in ocf and is represented as S_f = S₀-i or Energy Slope = Bed Slope of Channel-Hydraulic Gradient to Head Loss. 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 & Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.

How to calculate Energy Slope of Channel given Energy Gradient?

The Energy Slope of channel given Energy Gradient formula is defined as slope of energy line in ocf is calculated using Energy Slope = Bed Slope of Channel-Hydraulic Gradient to Head Loss. To calculate Energy Slope of Channel given Energy Gradient, you need Bed Slope of Channel (S₀) & Hydraulic Gradient to Head Loss (i). With our tool, you need to enter the respective value for Bed Slope of Channel & Hydraulic Gradient to Head Loss and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Energy Slope?

In this formula, Energy Slope uses Bed Slope of Channel & Hydraulic Gradient to Head Loss. We can use 3 other way(s) to calculate the same, which is/are as follows -

Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2)))
Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3)
Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(3)

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