Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow Calculator

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

✖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 given Slope of Dynamic Equation of Gradually Varied Flow [S₀]

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

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))
S₀ = S_f+(m*(1-(F_r(d)^2)))
This formula uses 4 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.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
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

Energy Slope: 2.001 --> 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

S₀ = S_f+(m*(1-(F_r(d)^2))) --> 2.001+(4*(1-(0.7^2)))

Evaluating ... ...

S₀ = 4.041

STEP 3: Convert Result to Output's Unit

4.041 --> No Conversion Required

FINAL ANSWER

4.041 <-- Bed Slope of Channel

(Calculation completed in 00.004 seconds)

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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))

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

LaTeX Go

Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))
S₀ = S_f+(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 Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow?

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow calculator uses Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2))) to calculate the Bed Slope of Channel, The Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow is defined as slope of channel at any point. Bed Slope of Channel is denoted by S₀ symbol.

How to calculate Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow using this online calculator? To use this online calculator for Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow, enter Energy Slope (S_f), Slope of Line (m) & Froude No by Dynamic Equation (F_r(d)) and hit the calculate button. Here is how the Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow calculation can be explained with given input values -> 4.041 = 2.001+(4*(1-(0.7^2))).

FAQ

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

The Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow is defined as slope of channel at any point and is represented as S₀ = S_f+(m*(1-(F_r(d)^2))) or Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2))). Energy Slope is at a distance equal to the velocity head above the hydraulic gradient, 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 Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow?

The Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow is defined as slope of channel at any point is calculated using Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2))). To calculate Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow, you need Energy Slope (S_f), Slope of Line (m) & Froude No by Dynamic Equation (F_r(d)). With our tool, you need to enter the respective value for Energy Slope, 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 Bed Slope of Channel?

In this formula, Bed Slope of Channel uses Energy Slope, Slope of Line & Froude No by Dynamic Equation. We can use 3 other way(s) to calculate the same, which is/are as follows -

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