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

GoChezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF Formula

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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. Check FAQs

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

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

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

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

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

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

1.1308 = ({(1 - ((\frac{4}{4.001}) \cdot ((1 - (({(\frac{1.001}{3.3})}^{3}))))))}^{\frac{3}{10}}) \cdot 3.3

1.1308m = ({(1 - ((\frac{4}{4.001}) \cdot ((1 - (({(\frac{1.001m}{3.3m})}^{3}))))))}^{\frac{3}{10}}) \cdot 3.3m

1.1308 = ({(1 - ((\frac{4}{4.001}) \cdot ((1 - (({(\frac{1.001}{3.3})}^{3}))))))}^{\frac{3}{10}}) \cdot 3.3

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y = ({(1 - ((\frac{4}{4.001}) \cdot ((1 - (({(\frac{1.001m}{3.3m})}^{3}))))))}^{\frac{3}{10}}) \cdot 3.3m

Next Step Prepare to Evaluate

∴

y = ({(1 - ((\frac{4}{4.001}) \cdot ((1 - (({(\frac{1.001}{3.3})}^{3}))))))}^{\frac{3}{10}}) \cdot 3.3

Next Step Evaluate

∴

y = 1.13076234642454m

LAST Step Rounding Answer

∴

y = 1.1308m

Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow Formula Elements

Variables

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

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

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

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

Other Formulas to find Normal Depth

Go Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF

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

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

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

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

Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow evaluator uses Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow to evaluate the Normal Depth, The Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow formula is defined as depth corresponding to particular energy in system. Normal Depth is denoted by y symbol.

How to evaluate Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow using this online evaluator? To use this online evaluator for Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow, enter Slope of Line (m), Bed Slope of Channel (S₀), Critical Depth of Weir (h_c) & Depth of Flow (d_f) and hit the calculate button.

FAQs on Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

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

The formula of Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow is expressed as Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow. Here is an example- 1.130762 = ((1-((4/4.001)*((1-(((1.001/3.3)^(3)))))))^(3/10))*3.3.

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

With Slope of Line (m), Bed Slope of Channel (S₀), Critical Depth of Weir (h_c) & Depth of Flow (d_f) we can find Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow using the formula - Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow.

What are the other ways to Calculate Normal Depth?

Here are the different ways to Calculate Normal Depth-

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

Can the Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow be negative?

No, the Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow, measured in Length cannot be negative.

Which unit is used to measure Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow can be measured.

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

​GoChezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF Formula

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

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

Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow Formula Elements

Other Formulas to find Normal Depth

Other formulas in Wide Rectangular Channel category

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

FAQs on Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

Variable Name

GoChezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF Formula