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

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

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Critical Depth of Channel GVF Flow occurs when the flow in a channel has a minimum specific energy. Check FAQs

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

H_C - Critical Depth of Channel GVF Flow?y - Normal Depth?d_f - Depth of Flow?m - Slope of Line?S₀ - Bed Slope of Channel?

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

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

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

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

0.1065 = ((1 - {((\frac{1 - ({(\frac{1.5}{3.3})}^{3})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3

0.1065m = ((1 - {((\frac{1 - ({(\frac{1.5m}{3.3m})}^{3})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3m

0.1065 = ((1 - {((\frac{1 - ({(\frac{1.5}{3.3})}^{3})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3

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

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H C = ((1 - {((\frac{1 - ({(\frac{1.5m}{3.3m})}^{3})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3m

Next Step Prepare to Evaluate

∴

H C = ((1 - {((\frac{1 - ({(\frac{1.5}{3.3})}^{3})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3

Next Step Evaluate

∴

H C = 0.10645374606914m

LAST Step Rounding Answer

∴

H C = 0.1065m

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

Variables

Critical Depth of Channel GVF Flow

Critical Depth of Channel GVF Flow occurs when the flow in a channel has a minimum specific energy.

Symbol: H_C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Channel GVF Flow

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

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

Other Formulas to find Critical Depth of Channel GVF Flow

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

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 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 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 Critical Depth of Channel given Slope of Dynamic Equation of GVF?

Chezy Formula for Critical Depth of Channel given Slope of Dynamic Equation of GVF evaluator uses Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow to evaluate the Critical Depth of Channel GVF Flow, The Chezy Formula for Critical Depth of Channel given Slope of Dynamic Equation of GVF is defined as critical flow when energy is minimum. Critical Depth of Channel GVF Flow is denoted by H_C symbol.

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

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

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

The formula of Chezy Formula for Critical Depth of Channel given Slope of Dynamic Equation of GVF is expressed as Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow. Here is an example- 13.18982 = ((1-(((1-((1.5/3.3)^(3)))/(4/4.001)))^(1/3)))*3.3.

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

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

What are the other ways to Calculate Critical Depth of Channel GVF Flow?

Here are the different ways to Calculate Critical Depth of Channel GVF Flow-

Critical Depth of Channel GVF Flow=((1-(((1-((Normal Depth/Depth of Flow)^(10/3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow

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

No, the Chezy Formula for Critical 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 Critical Depth of Channel given Slope of Dynamic Equation of GVF?

Chezy Formula for Critical 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 Critical Depth of Channel given Slope of Dynamic Equation of GVF can be measured.

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

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

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

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

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

Other Formulas to find Critical Depth of Channel GVF Flow

Other formulas in Wide Rectangular Channel category

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

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

Variable Name

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