Bottom Slope of Channel given Energy Gradient Calculator

✖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 [S_f]			+10% -10%

✖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.ⓘ Bottom Slope of Channel given Energy Gradient [S₀]

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Bottom Slope of Channel given Energy Gradient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Gradient to Head Loss: 2.02 --> No Conversion Required
Energy Slope: 2.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S₀ = i+S_f --> 2.02+2.001

Evaluating ... ...

S₀ = 4.021

STEP 3: Convert Result to Output's Unit

4.021 --> No Conversion Required

FINAL ANSWER

4.021 <-- Bed Slope of Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Gradually Varied Flow in Channels Calculators

Froude Number given Top Width

LaTeX Go Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

LaTeX Go Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

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

Slope of Dynamic Equation of Gradually Varied Flows

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

Bottom Slope of Channel given Energy Gradient Formula

LaTeX Go

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

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 Bottom Slope of Channel given Energy Gradient?

Bottom Slope of Channel given Energy Gradient calculator uses Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope to calculate the Bed Slope of Channel, The Bottom Slope of channel given Energy Gradient formula is defined as slope of channel bed of OCF. Bed Slope of Channel is denoted by S₀ symbol.

How to calculate Bottom Slope of Channel given Energy Gradient using this online calculator? To use this online calculator for Bottom Slope of Channel given Energy Gradient, enter Hydraulic Gradient to Head Loss (i) & Energy Slope (S_f) and hit the calculate button. Here is how the Bottom Slope of Channel given Energy Gradient calculation can be explained with given input values -> 4.021 = 2.02+2.001.

FAQ

What is Bottom Slope of Channel given Energy Gradient?

The Bottom Slope of channel given Energy Gradient formula is defined as slope of channel bed of OCF and is represented as S₀ = i+S_f or Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope. Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum & Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

How to calculate Bottom Slope of Channel given Energy Gradient?

The Bottom Slope of channel given Energy Gradient formula is defined as slope of channel bed of OCF is calculated using Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope. To calculate Bottom Slope of Channel given Energy Gradient, you need Hydraulic Gradient to Head Loss (i) & Energy Slope (S_f). With our tool, you need to enter the respective value for Hydraulic Gradient to Head Loss & Energy Slope 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 Bed Slope of Channel?

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

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

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