Energy Gradient given Bed Slope 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%
✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope [S_f]			+10% -10%

✖Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.ⓘ Energy Gradient given Bed Slope [i]

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Energy Gradient given Bed Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Hydraulic Gradient to Head Loss - Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.
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.
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

Bed Slope of Channel: 4.001 --> No Conversion Required
Energy Slope: 2.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = S₀-S_f --> 4.001-2.001

Evaluating ... ...

i = 2

STEP 3: Convert Result to Output's Unit

2 --> No Conversion Required

FINAL ANSWER

2 <-- Hydraulic Gradient to Head Loss

(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))

Energy Gradient given Bed Slope Formula

LaTeX Go

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

Energy Gradient given Bed Slope calculator uses Hydraulic Gradient to Head Loss = Bed Slope of Channel-Energy Slope to calculate the Hydraulic Gradient to Head Loss, The Energy Gradient given bed slope formula is defined as the energy change in direction of channel from start of channel point in OCF. Hydraulic Gradient to Head Loss is denoted by i symbol.

How to calculate Energy Gradient given Bed Slope using this online calculator? To use this online calculator for Energy Gradient given Bed Slope, enter Bed Slope of Channel (S₀) & Energy Slope (S_f) and hit the calculate button. Here is how the Energy Gradient given Bed Slope calculation can be explained with given input values -> 2 = 4.001-2.001.

FAQ

What is Energy Gradient given Bed Slope?

The Energy Gradient given bed slope formula is defined as the energy change in direction of channel from start of channel point in OCF and is represented as i = S₀-S_f or Hydraulic Gradient to Head Loss = Bed Slope of Channel-Energy Slope. 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 & Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.

How to calculate Energy Gradient given Bed Slope?

The Energy Gradient given bed slope formula is defined as the energy change in direction of channel from start of channel point in OCF is calculated using Hydraulic Gradient to Head Loss = Bed Slope of Channel-Energy Slope. To calculate Energy Gradient given Bed Slope, you need Bed Slope of Channel (S₀) & Energy Slope (S_f). With our tool, you need to enter the respective value for Bed Slope of Channel & 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 Hydraulic Gradient to Head Loss?

In this formula, Hydraulic Gradient to Head Loss uses Bed Slope of Channel & Energy Slope. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydraulic Gradient to Head Loss = (1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3)))*Slope of Line

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