Froude Number 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%
✖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 Number given Slope of Dynamic Equation of Gradually Varied Flow [F_r(d)]

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Froude Number given Slope of Dynamic Equation of Gradually Varied Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))
F_r(d) = sqrt(1-((S₀-S_f)/m))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Bed Slope of Channel: 4.001 --> No Conversion Required
Energy Slope: 2.001 --> No Conversion Required
Slope of Line: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_r(d) = sqrt(1-((S₀-S_f)/m)) --> sqrt(1-((4.001-2.001)/4))

Evaluating ... ...

F_r(d) = 0.707106781186547

STEP 3: Convert Result to Output's Unit

0.707106781186547 --> No Conversion Required

FINAL ANSWER

0.707106781186547 ≈ 0.707107 <-- Froude No by Dynamic Equation

(Calculation completed in 00.006 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))

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow Formula

LaTeX Go

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

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 Froude Number given Slope of Dynamic Equation of Gradually Varied Flow?

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow calculator uses Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line)) to calculate the Froude No by Dynamic Equation, The Froude Number given Slope of Dynamic Equation of Gradually Varied Flow is defined as the ratio of two forces in fluid plane. Froude No by Dynamic Equation is denoted by F_r(d) symbol.

How to calculate Froude Number given Slope of Dynamic Equation of Gradually Varied Flow using this online calculator? To use this online calculator for Froude Number given Slope of Dynamic Equation of Gradually Varied Flow, enter Bed Slope of Channel (S₀), Energy Slope (S_f) & Slope of Line (m) and hit the calculate button. Here is how the Froude Number given Slope of Dynamic Equation of Gradually Varied Flow calculation can be explained with given input values -> 0.707107 = sqrt(1-((4.001-2.001)/4)).

FAQ

What is Froude Number given Slope of Dynamic Equation of Gradually Varied Flow?

The Froude Number given Slope of Dynamic Equation of Gradually Varied Flow is defined as the ratio of two forces in fluid plane and is represented as F_r(d) = sqrt(1-((S₀-S_f)/m)) or Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line)). 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 & 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.

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

The Froude Number given Slope of Dynamic Equation of Gradually Varied Flow is defined as the ratio of two forces in fluid plane is calculated using Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line)). To calculate Froude Number given Slope of Dynamic Equation of Gradually Varied Flow, you need Bed Slope of Channel (S₀), Energy Slope (S_f) & Slope of Line (m). With our tool, you need to enter the respective value for Bed Slope of Channel, Energy Slope & Slope of Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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