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

GoBed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula Formula

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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. Check FAQs

S 0 = \frac{m}{(\frac{1 - ({(\frac{y}{d f})}^{\frac{10}{3}})}{1 - ({(\frac{h c}{d f})}^{3})})}

S₀ - Bed Slope of Channel?m - Slope of Line?y - Normal Depth?d_f - Depth of Flow?h_c - Critical Depth of Weir?

Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow Example

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

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

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

4.191 = \frac{4}{(\frac{1 - ({(\frac{1.5}{3.3})}^{\frac{10}{3}})}{1 - ({(\frac{1.001}{3.3})}^{3})})}

4.191 = \frac{4}{(\frac{1 - ({(\frac{1.5m}{3.3m})}^{\frac{10}{3}})}{1 - ({(\frac{1.001m}{3.3m})}^{3})})}

4.191 = \frac{4}{(\frac{1 - ({(\frac{1.5}{3.3})}^{\frac{10}{3}})}{1 - ({(\frac{1.001}{3.3})}^{3})})}

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

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

FIRST Step Consider the formula

S 0 = \frac{m}{(\frac{1 - ({(\frac{y}{d f})}^{\frac{10}{3}})}{1 - ({(\frac{h c}{d f})}^{3})})}

Next Step Substitute values of Variables

∴

S 0 = \frac{4}{(\frac{1 - ({(\frac{1.5m}{3.3m})}^{\frac{10}{3}})}{1 - ({(\frac{1.001m}{3.3m})}^{3})})}

Next Step Prepare to Evaluate

∴

S 0 = \frac{4}{(\frac{1 - ({(\frac{1.5}{3.3})}^{\frac{10}{3}})}{1 - ({(\frac{1.001}{3.3})}^{3})})}

Next Step Evaluate

∴

S 0 = 4.19098661876235

LAST Step Rounding Answer

∴

S 0 = 4.191

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

Variables

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

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

Normal Depth

Normal Depth is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.

Symbol: y

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Normal Depth

Depth of Flow

Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Flow

Critical Depth of Weir

The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Weir

Other Formulas to find Bed Slope of Channel

Go Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula

S 0 = \frac{m}{(\frac{1 - ({(\frac{y}{d f})}^{3})}{1 - (({(\frac{h c}{d f})}^{3}))})}

Other formulas in Wide Rectangular Channel category

Go Slope of Dynamic Equations of Gradually Varied Flow

m = S 0 \cdot (\frac{1 - ({(\frac{y}{d f})}^{\frac{10}{3}})}{1 - ({(\frac{h c}{d f})}^{3})})

Go Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

y = ({(1 - ((\frac{m}{S 0}) \cdot ((1 - (({(\frac{h c}{d f})}^{3}))))))}^{\frac{3}{10}}) \cdot d f

Go Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

H C = ((1 - {((\frac{1 - ({(\frac{y}{d f})}^{\frac{10}{3}})}{\frac{m}{S 0}}))}^{\frac{1}{3}})) \cdot d f

Go Chezy Formula for Slope of Dynamic Equation of Gradually Varied Flow

m = S 0 \cdot (\frac{1 - ({(\frac{y}{d f})}^{3})}{1 - (({(\frac{h c}{d f})}^{3}))})

How to Evaluate Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow evaluator uses Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))) to evaluate the Bed Slope of Channel, The Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow formula is defined as channel slope. Bed Slope of Channel is denoted by S₀ symbol.

How to evaluate Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow using this online evaluator? To use this online evaluator for Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow, enter Slope of Line (m), Normal Depth (y), Depth of Flow (d_f) & Critical Depth of Weir (h_c) and hit the calculate button.

FAQs on Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow

What is the formula to find Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

The formula of Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow is expressed as Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))). Here is an example- -0.098685 = 4/(((1-((1.5/3.3)^(10/3)))/(1-((1.001/3.3)^(3))))).

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

With Slope of Line (m), Normal Depth (y), Depth of Flow (d_f) & Critical Depth of Weir (h_c) we can find Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow using the formula - Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))).

What are the other ways to Calculate Bed Slope of Channel?

Here are the different ways to Calculate Bed Slope of Channel-

Bed Slope of Channel=Slope of Line/(((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3))))))

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

​GoBed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula Formula

Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow Example

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

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

Other Formulas to find Bed Slope of Channel

Other formulas in Wide Rectangular Channel category

How to Evaluate Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

FAQs on Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow

Variable Name

GoBed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula Formula