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

GoNormal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow 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{1}{3}}) \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?

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

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Here is how the Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF equation looks like with Values.

Here is how the Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF equation looks like with Units.

Here is how the Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF equation looks like.

1.0039 = ({(1 - ((\frac{4}{4.001}) \cdot ((1 - (({(\frac{1.001}{3.3})}^{3}))))))}^{\frac{1}{3}}) \cdot 3.3

1.0039m = ({(1 - ((\frac{4}{4.001}) \cdot ((1 - (({(\frac{1.001m}{3.3m})}^{3}))))))}^{\frac{1}{3}}) \cdot 3.3m

1.0039 = ({(1 - ((\frac{4}{4.001}) \cdot ((1 - (({(\frac{1.001}{3.3})}^{3}))))))}^{\frac{1}{3}}) \cdot 3.3

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Hydraulics and Waterworks » fx Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF

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

Follow our step by step solution on how to calculate Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

y = 1.00389623874799m

LAST Step Rounding Answer

∴

y = 1.0039m

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

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

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

How to evaluate Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF using this online evaluator? To use this online evaluator for Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF, 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 Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF

What is the formula to find Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF?

The formula of Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF is expressed as Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(1/3))*Depth of Flow. Here is an example- 1.003896 = ((1-((4/4.001)*((1-(((1.001/3.3)^(3)))))))^(1/3))*3.3.

How to calculate Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF?

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

Can the Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF be negative?

No, the Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF, measured in Length cannot be negative.

Which unit is used to measure Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF?

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

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

​GoNormal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow Formula

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

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

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

Other Formulas to find Normal Depth

Other formulas in Wide Rectangular Channel category

How to Evaluate Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF?

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

Variable Name

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