Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow 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%
✖The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.ⓘ Slope of Line [m]			+10% -10%
✖Froude No by Dynamic Equation is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.ⓘ Froude No by Dynamic Equation [F_r(d)]			+10% -10%

✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow [S_f]

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Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2)))
S_f = S₀-(m*(1-(F_r(d)^2)))
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.
Slope of Line - The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Froude No by Dynamic Equation - Froude No by Dynamic Equation is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.

STEP 1: Convert Input(s) to Base Unit

Bed Slope of Channel: 4.001 --> No Conversion Required
Slope of Line: 4 --> No Conversion Required
Froude No by Dynamic Equation: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_f = S₀-(m*(1-(F_r(d)^2))) --> 4.001-(4*(1-(0.7^2)))

Evaluating ... ...

S_f = 1.961

STEP 3: Convert Result to Output's Unit

1.961 --> No Conversion Required

FINAL ANSWER

1.961 <-- Energy Slope

(Calculation completed in 00.004 seconds)

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< Energy Slope Calculators

Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow

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

Energy Slope of Rectangular channel

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

Chezy Formula for Energy Slope of Rectangular Channel

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

Energy Slope of Channel given Energy Gradient

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

Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow Formula

LaTeX Go

Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2)))
S_f = S₀-(m*(1-(F_r(d)^2)))

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 given Slope of Dynamic Equation of Gradually Varied Flow?

Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow calculator uses Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2))) to calculate the Energy Slope, The Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow is defined as the slope of energy line. Energy Slope is denoted by S_f symbol.

How to calculate Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow using this online calculator? To use this online calculator for Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow, enter Bed Slope of Channel (S₀), Slope of Line (m) & Froude No by Dynamic Equation (F_r(d)) and hit the calculate button. Here is how the Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow calculation can be explained with given input values -> 1.961 = 4.001-(4*(1-(0.7^2))).

FAQ

What is Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow?

The Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow is defined as the slope of energy line and is represented as S_f = S₀-(m*(1-(F_r(d)^2))) or Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2))). 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, The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line & Froude No by Dynamic Equation is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.

How to calculate Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow?

The Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow is defined as the slope of energy line is calculated using Energy Slope = Bed Slope of Channel-(Slope of Line*(1-(Froude No by Dynamic Equation^2))). To calculate Energy Slope given Slope of Dynamic Equation of Gradually Varied Flow, you need Bed Slope of Channel (S₀), Slope of Line (m) & Froude No by Dynamic Equation (F_r(d)). With our tool, you need to enter the respective value for Bed Slope of Channel, Slope of Line & Froude No by Dynamic Equation 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, Slope of Line & Froude No by Dynamic Equation. We can use 3 other way(s) to calculate the same, which is/are as follows -

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