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Discharge given Total Energy Formula

GoDischarge given Froude Number Formula

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

Q f = {((E t - d f) \cdot 2 \cdot [g] \cdot S^{2})}^{0.5}

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

Discharge given Total Energy Example

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Here is how the Discharge given Total Energy equation looks like with Values.

Here is how the Discharge given Total Energy equation looks like with Units.

Here is how the Discharge given Total Energy equation looks like.

177.4395 = {((103.13 - 3.3) \cdot 2 \cdot 9.8066 \cdot {4.01}^{2})}^{0.5}

177.4395m³/s = {((103.13J - 3.3m) \cdot 2 \cdot 9.8066m/s² \cdot {4.01m²}^{2})}^{0.5}

177.4395 = {((103.13 - 3.3) \cdot 2 \cdot 9.8066 \cdot {4.01}^{2})}^{0.5}

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Discharge given Total Energy Solution

Follow our step by step solution on how to calculate Discharge given Total Energy?

FIRST Step Consider the formula

Q f = {((E t - d f) \cdot 2 \cdot [g] \cdot S^{2})}^{0.5}

Next Step Substitute values of Variables

∴

Q f = {((103.13J - 3.3m) \cdot 2 \cdot [g] \cdot {4.01m²}^{2})}^{0.5}

Next Step Substitute values of Constants

∴

Q f = {((103.13J - 3.3m) \cdot 2 \cdot 9.8066m/s² \cdot {4.01m²}^{2})}^{0.5}

Next Step Prepare to Evaluate

∴

Q f = {((103.13 - 3.3) \cdot 2 \cdot 9.8066 \cdot {4.01}^{2})}^{0.5}

Next Step Evaluate

∴

Q f = 177.439474984271m³/s

LAST Step Rounding Answer

∴

Q f = 177.4395m³/s

Discharge given Total Energy Formula Elements

Variables

Constants

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

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

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

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 Discharge for GVF Flow

Go Discharge given Froude Number

Q f = \frac{Fr}{\sqrt{\frac{T}{[g] \cdot S^{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 Discharge given Total Energy?

Discharge given Total Energy evaluator uses Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5 to evaluate the Discharge for GVF Flow, The Discharge given Total Energy formula is defined as the amount of liquid flowing in channel per unit time at any point. Discharge for GVF Flow is denoted by Q_f symbol.

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

FAQs on Discharge given Total Energy

What is the formula to find Discharge given Total Energy?

The formula of Discharge given Total Energy is expressed as Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5. Here is an example- 176.997 = ((103.13-3.3)*2*[g]*4.01^2)^0.5.

How to calculate Discharge given Total Energy?

With Total Energy in Open Channel (E_t), Depth of Flow (d_f) & Wetted Surface Area (S) we can find Discharge given Total Energy using the formula - Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Discharge for GVF Flow?

Here are the different ways to Calculate Discharge for GVF Flow-

Discharge for GVF Flow=Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3)))

Can the Discharge given Total Energy be negative?

No, the Discharge given Total Energy, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge given Total Energy?

Discharge given Total Energy is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge given Total Energy can be measured.

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: Unit

Discharge given Total Energy Formula

​GoDischarge given Froude Number Formula

Discharge given Total Energy Example

Discharge given Total Energy Solution

Discharge given Total Energy Formula Elements

Other Formulas to find Discharge for GVF Flow

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Discharge given Total Energy?

FAQs on Discharge given Total Energy

Variable Name

GoDischarge given Froude Number Formula