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

GoChezy Formula for Critical Depth of Channel given Slope of Dynamic Equation of GVF 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})}^{\frac{10}{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?

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

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

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

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

0.0812 = ((1 - {((\frac{1 - ({(\frac{1.5}{3.3})}^{\frac{10}{3}})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3

0.0812m = ((1 - {((\frac{1 - ({(\frac{1.5m}{3.3m})}^{\frac{10}{3}})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3m

0.0812 = ((1 - {((\frac{1 - ({(\frac{1.5}{3.3})}^{\frac{10}{3}})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3

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Hydraulics and Waterworks » fx Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

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

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

FIRST Step Consider the formula

H C = ((1 - {((\frac{1 - ({(\frac{y}{d f})}^{\frac{10}{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})}^{\frac{10}{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})}^{\frac{10}{3}})}{\frac{4}{4.001}}))}^{\frac{1}{3}})) \cdot 3.3

Next Step Evaluate

∴

H C = 0.0811541027822513m

LAST Step Rounding Answer

∴

H C = 0.0812m

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

H C = ((1 - {((\frac{1 - ({(\frac{y}{d f})}^{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 Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow evaluator uses 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 to evaluate the Critical Depth of Channel GVF Flow, Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow is defined as critical flow when energy is minimum. Critical Depth of Channel GVF Flow is denoted by H_C symbol.

How to evaluate Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow using this online evaluator? To use this online evaluator for Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow, 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 Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

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

The formula of Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow is expressed as 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. Here is an example- 14.53023 = ((1-(((1-((1.5/3.3)^(10/3)))/(4/4.001)))^(1/3)))*3.3.

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

With Normal Depth (y), Depth of Flow (d_f), Slope of Line (m) & Bed Slope of Channel (S₀) we can find Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow using the formula - 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.

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)^(3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow

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

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

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

Critical 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 Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow can be measured.

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

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

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

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

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

Other Formulas to find Critical Depth of Channel GVF Flow

Other formulas in Wide Rectangular Channel category

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

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

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