FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Slope of Dynamic Equation of Gradually Varied Flows Formula

GoSlope of Dynamic Equation of Gradually Varied Flow given Energy Gradient Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Slope of Dynamic Equation of Gradually Varied Flows Example

With values

With units

Only example

Here is how the Slope of Dynamic Equation of Gradually Varied Flows equation looks like with Values.

Here is how the Slope of Dynamic Equation of Gradually Varied Flows equation looks like with Units.

Here is how the Slope of Dynamic Equation of Gradually Varied Flows equation looks like.

3.9216 = \frac{4.001 - 2.001}{1 - ({0.7}^{2})}

3.9216 = \frac{4.001 - 2.001}{1 - ({0.7}^{2})}

3.9216 = \frac{4.001 - 2.001}{1 - ({0.7}^{2})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Slope of Dynamic Equation of Gradually Varied Flows

Slope of Dynamic Equation of Gradually Varied Flows Solution

Follow our step by step solution on how to calculate Slope of Dynamic Equation of Gradually Varied Flows?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m = \frac{4.001 - 2.001}{1 - ({0.7}^{2})}

Next Step Prepare to Evaluate

∴

m = \frac{4.001 - 2.001}{1 - ({0.7}^{2})}

Next Step Evaluate

∴

m = 3.92156862745098

LAST Step Rounding Answer

∴

m = 3.9216

Slope of Dynamic Equation of Gradually Varied Flows Formula Elements

Variables

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

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

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

Other Formulas to find Slope of Line

Go Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient

m = \frac{i}{1 - ({Q eg}^{2} \cdot \frac{T}{[g] \cdot S^{3}})}

Other formulas in Gradually Varied Flow in Channels category

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 Slope of Dynamic Equation of Gradually Varied Flow

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

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 Slope of Dynamic Equation of Gradually Varied Flows?

Slope of Dynamic Equation of Gradually Varied Flows evaluator uses Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2)) to evaluate the Slope of Line, The Slope of Dynamic Equation of Gradually Varied Flows formula is defined as slope of line which is formed based on the gradually varied flow condition. Slope of Line is denoted by m symbol.

How to evaluate Slope of Dynamic Equation of Gradually Varied Flows using this online evaluator? To use this online evaluator for Slope of Dynamic Equation of Gradually Varied Flows, enter Bed Slope of Channel (S₀), Energy Slope (S_f) & Froude No by Dynamic Equation (F_r(d)) and hit the calculate button.

FAQs on Slope of Dynamic Equation of Gradually Varied Flows

What is the formula to find Slope of Dynamic Equation of Gradually Varied Flows?

The formula of Slope of Dynamic Equation of Gradually Varied Flows is expressed as Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2)). Here is an example- 3.921569 = (4.001-2.001)/(1-(0.7^2)).

How to calculate Slope of Dynamic Equation of Gradually Varied Flows?

With Bed Slope of Channel (S₀), Energy Slope (S_f) & Froude No by Dynamic Equation (F_r(d)) we can find Slope of Dynamic Equation of Gradually Varied Flows using the formula - Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2)).

What are the other ways to Calculate Slope of Line?

Here are the different ways to Calculate Slope of Line-

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Slope of Dynamic Equation of Gradually Varied Flows Formula

​GoSlope of Dynamic Equation of Gradually Varied Flow given Energy Gradient Formula

Slope of Dynamic Equation of Gradually Varied Flows Example

Slope of Dynamic Equation of Gradually Varied Flows Solution

Slope of Dynamic Equation of Gradually Varied Flows Formula Elements

Other Formulas to find Slope of Line

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Slope of Dynamic Equation of Gradually Varied Flows?

FAQs on Slope of Dynamic Equation of Gradually Varied Flows

Variable Name

GoSlope of Dynamic Equation of Gradually Varied Flow given Energy Gradient Formula