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

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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. Check FAQs

F r(d) = \sqrt{1 - (\frac{S 0 - S f}{m})}

F_r(d) - Froude No by Dynamic Equation?S₀ - Bed Slope of Channel?S_f - Energy Slope?m - Slope of Line?

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

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Here is how the Froude Number given Slope of Dynamic Equation of Gradually Varied Flow equation looks like with Values.

Here is how the Froude Number given Slope of Dynamic Equation of Gradually Varied Flow equation looks like with Units.

Here is how the Froude Number given Slope of Dynamic Equation of Gradually Varied Flow equation looks like.

0.7071 = \sqrt{1 - (\frac{4.001 - 2.001}{4})}

0.7071 = \sqrt{1 - (\frac{4.001 - 2.001}{4})}

0.7071 = \sqrt{1 - (\frac{4.001 - 2.001}{4})}

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

Follow our step by step solution on how to calculate Froude Number given Slope of Dynamic Equation of Gradually Varied Flow?

FIRST Step Consider the formula

F r(d) = \sqrt{1 - (\frac{S 0 - S f}{m})}

Next Step Substitute values of Variables

∴

F r(d) = \sqrt{1 - (\frac{4.001 - 2.001}{4})}

Next Step Prepare to Evaluate

∴

F r(d) = \sqrt{1 - (\frac{4.001 - 2.001}{4})}

Next Step Evaluate

∴

F r(d) = 0.707106781186547

LAST Step Rounding Answer

∴

F r(d) = 0.7071

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

Variables

Functions

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.

Symbol: F_r(d)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Froude No by Dynamic Equation

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.

Symbol: S₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope of Channel

Energy Slope

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

Symbol: S_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Energy Slope

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.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope of Line

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.

Syntax: sqrt(Number)

Other formulas in Gradually Varied Flow in Channels category

Go Slope of Dynamic Equation of Gradually Varied Flows

m = \frac{S 0 - S f}{1 - ({F r(d)}^{2})}

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

S 0 = S f + (m \cdot (1 - ({F r(d)}^{2})))

Go Froude Number given Top Width

Fr = \sqrt{{Q f}^{2} \cdot \frac{T}{[g] \cdot S^{3}}}

Go Discharge given Froude Number

Q f = \frac{Fr}{\sqrt{\frac{T}{[g] \cdot S^{3}}}}

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

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow evaluator uses Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line)) to evaluate 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 evaluate Froude Number given Slope of Dynamic Equation of Gradually Varied Flow using this online evaluator? To use this online evaluator 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.

FAQs on Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

What is the formula to find Froude Number given Slope of Dynamic Equation of Gradually Varied Flow?

The formula of Froude Number given Slope of Dynamic Equation of Gradually Varied Flow is expressed as Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line)). Here is an example- 0.707107 = sqrt(1-((4.001-2.001)/4)).

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

With Bed Slope of Channel (S₀), Energy Slope (S_f) & Slope of Line (m) we can find Froude Number given Slope of Dynamic Equation of Gradually Varied Flow using the formula - Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line)). This formula also uses Square Root Function function(s).

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

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

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

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

Other formulas in Gradually Varied Flow in Channels category

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

FAQs on Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

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