Energy Slope of Rectangular channel 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%
✖Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.ⓘ Critical Depth of Channel [C]			+10% -10%
✖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.ⓘ Depth of Flow [d_f]			+10% -10%

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

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Formula

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Energy Slope of Rectangular channel

Formula

`"S"_{"f"} = "S"_{"0"}*("C"/"d"_{"f"})^(10/3)`

Example

`"2.91201"="4.001"*("3m"/"3.3m")^(10/3)`

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Download Gradually Varied Flow in Channels Formulas PDF

Energy Slope of Rectangular channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3)
S_f = S₀*(C/d_f)^(10/3)
This formula uses 4 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.
Critical Depth of Channel - (Measured in Meter) - Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.
Depth of Flow - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Bed Slope of Channel: 4.001 --> No Conversion Required
Critical Depth of Channel: 3 Meter --> 3 Meter No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_f = S₀*(C/d_f)^(10/3) --> 4.001*(3/3.3)^(10/3)

Evaluating ... ...

S_f = 2.91201048378062

STEP 3: Convert Result to Output's Unit

2.91201048378062 --> No Conversion Required

FINAL ANSWER

2.91201048378062 ≈ 2.91201 <-- 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 Rectangular channel Formula

Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3)
S_f = S₀*(C/d_f)^(10/3)

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 Rectangular channel?

Energy Slope of Rectangular channel calculator uses Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3) to calculate 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 S_f symbol.

How to calculate Energy Slope of Rectangular channel using this online calculator? To use this online calculator for Energy Slope of Rectangular channel, enter Bed Slope of Channel (S₀), Critical Depth of Channel (C) & Depth of Flow (d_f) and hit the calculate button. Here is how the Energy Slope of Rectangular channel calculation can be explained with given input values -> 2.91201 = 4.001*(3/3.3)^(10/3).

FAQ

What is Energy Slope of Rectangular channel?

The Energy Slope of Rectangular channel formula is defined as the slope of energy line of the channel in open channel flow and is represented as S_f = S₀*(C/d_f)^(10/3) or Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3). 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, Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy & 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.

How to calculate Energy Slope of Rectangular channel?

The Energy Slope of Rectangular channel formula is defined as the slope of energy line of the channel in open channel flow is calculated using Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(10/3). To calculate Energy Slope of Rectangular channel, you need Bed Slope of Channel (S₀), Critical Depth of Channel (C) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Bed Slope of Channel, Critical Depth of Channel & Depth of Flow 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, Critical Depth of Channel & Depth of Flow. 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-Hydraulic Gradient to Head Loss
Energy Slope = Bed Slope of Channel*(Critical Depth of Channel/Depth of Flow)^(3)

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