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Depth of Flow given Total Energy Formula

GoDepth of Flow given Energy Slope of Rectangular channel Formula

GoChezy Formula for Depth of Flow given Energy Slope of Rectangular Channel Formula

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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. Check FAQs

d f = E t - (\frac{{Q f}^{2}}{2 \cdot [g] \cdot S^{2}})

d_f - Depth of Flow?E_t - Total Energy in Open Channel?Q_f - Discharge for GVF Flow?S - Wetted Surface Area?[g] - Gravitational acceleration on Earth?

Depth of Flow given Total Energy Example

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Here is how the Depth of Flow given Total Energy equation looks like with Values.

Here is how the Depth of Flow given Total Energy equation looks like with Units.

Here is how the Depth of Flow given Total Energy equation looks like.

3.7939 = 103.13 - (\frac{177^{2}}{2 \cdot 9.8066 \cdot {4.01}^{2}})

3.7939m = 103.13J - (\frac{{177m³/s}^{2}}{2 \cdot 9.8066m/s² \cdot {4.01m²}^{2}})

3.7939 = 103.13 - (\frac{177^{2}}{2 \cdot 9.8066 \cdot {4.01}^{2}})

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Depth of Flow given Total Energy Solution

Follow our step by step solution on how to calculate Depth of Flow given Total Energy?

FIRST Step Consider the formula

d f = E t - (\frac{{Q f}^{2}}{2 \cdot [g] \cdot S^{2}})

Next Step Substitute values of Variables

∴

d f = 103.13J - (\frac{{177m³/s}^{2}}{2 \cdot [g] \cdot {4.01m²}^{2}})

Next Step Substitute values of Constants

∴

d f = 103.13J - (\frac{{177m³/s}^{2}}{2 \cdot 9.8066m/s² \cdot {4.01m²}^{2}})

Next Step Prepare to Evaluate

∴

d f = 103.13 - (\frac{177^{2}}{2 \cdot 9.8066 \cdot {4.01}^{2}})

Next Step Evaluate

∴

d f = 3.79389749943867m

LAST Step Rounding Answer

∴

d f = 3.7939m

Depth of Flow given Total Energy Formula Elements

Variables

Constants

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

Total Energy in Open Channel

Total Energy in Open Channel is the sum of the kinetic energy and the potential energy of the system under consideration.

Symbol: E_t

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Total Energy in Open Channel

Discharge for GVF Flow

Discharge for GVF Flow is rate of flow per unit time.

Symbol: Q_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge for GVF Flow

Wetted Surface Area

Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Wetted Surface Area

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Depth of Flow

Go Depth of Flow given Energy Slope of Rectangular channel

d f = \frac{C}{{(\frac{S f}{S 0})}^{\frac{3}{10}}}

Go Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel

d f = \frac{C}{{(\frac{S f}{S 0})}^{\frac{1}{3}}}

Other formulas in Gradually Varied Flow in Channels category

Go Slope of Dynamic Equation of Gradually Varied Flows

m = \frac{S 0 - S f}{1 - ({F r(d)}^{2})}

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

S 0 = S f + (m \cdot (1 - ({F r(d)}^{2})))

Go Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

F r(d) = \sqrt{1 - (\frac{S 0 - S f}{m})}

Go Froude Number given Top Width

Fr = \sqrt{{Q f}^{2} \cdot \frac{T}{[g] \cdot S^{3}}}

How to Evaluate Depth of Flow given Total Energy?

Depth of Flow given Total Energy evaluator uses Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2)) to evaluate the Depth of Flow, The Depth of Flow given Total Energy formula is defined as the amount of liquid flowing the channel at point in the stream. Depth of Flow is denoted by d_f symbol.

How to evaluate Depth of Flow given Total Energy using this online evaluator? To use this online evaluator for Depth of Flow given Total Energy, enter Total Energy in Open Channel (E_t), Discharge for GVF Flow (Q_f) & Wetted Surface Area (S) and hit the calculate button.

FAQs on Depth of Flow given Total Energy

What is the formula to find Depth of Flow given Total Energy?

The formula of Depth of Flow given Total Energy is expressed as Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2)). Here is an example- 3.296596 = 103.13-((177^2)/(2*[g]*4.01^2)).

How to calculate Depth of Flow given Total Energy?

With Total Energy in Open Channel (E_t), Discharge for GVF Flow (Q_f) & Wetted Surface Area (S) we can find Depth of Flow given Total Energy using the formula - Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2)). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Depth of Flow?

Here are the different ways to Calculate Depth of Flow-

Depth of Flow=Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(3/10))
Depth of Flow=Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3))

Can the Depth of Flow given Total Energy be negative?

No, the Depth of Flow given Total Energy, measured in Length cannot be negative.

Which unit is used to measure Depth of Flow given Total Energy?

Depth of Flow given Total Energy is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Flow given Total Energy can be measured.

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Depth of Flow given Total Energy Formula

​GoDepth of Flow given Energy Slope of Rectangular channel Formula

​GoChezy Formula for Depth of Flow given Energy Slope of Rectangular Channel Formula

Depth of Flow given Total Energy Example

Depth of Flow given Total Energy Solution

Depth of Flow given Total Energy Formula Elements

Other Formulas to find Depth of Flow

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Depth of Flow given Total Energy?

FAQs on Depth of Flow given Total Energy

Variable Name

GoDepth of Flow given Energy Slope of Rectangular channel Formula

GoChezy Formula for Depth of Flow given Energy Slope of Rectangular Channel Formula