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Total Energy of Flow Formula

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

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

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

Total Energy of Flow Example

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

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

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

102.6361 = 3.3 + \frac{177^{2}}{2 \cdot 9.8066 \cdot {4.01}^{2}}

102.6361J = 3.3m + \frac{{177m³/s}^{2}}{2 \cdot 9.8066m/s² \cdot {4.01m²}^{2}}

102.6361 = 3.3 + \frac{177^{2}}{2 \cdot 9.8066 \cdot {4.01}^{2}}

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Total Energy of Flow Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E t = 3.3m + \frac{{177m³/s}^{2}}{2 \cdot [g] \cdot {4.01m²}^{2}}

Next Step Substitute values of Constants

∴

E t = 3.3m + \frac{{177m³/s}^{2}}{2 \cdot 9.8066m/s² \cdot {4.01m²}^{2}}

Next Step Prepare to Evaluate

∴

E t = 3.3 + \frac{177^{2}}{2 \cdot 9.8066 \cdot {4.01}^{2}}

Next Step Evaluate

∴

E t = 102.636102500561J

LAST Step Rounding Answer

∴

E t = 102.6361J

Total Energy of Flow Formula Elements

Variables

Constants

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

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 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 Total Energy of Flow?

Total Energy of Flow evaluator uses Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2) to evaluate the Total Energy in Open Channel, The Total Energy of Flow formula is defined as amount of energy generated by the flow of water in the channel at any position in channel. Total Energy in Open Channel is denoted by E_t symbol.

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

FAQs on Total Energy of Flow

What is the formula to find Total Energy of Flow?

The formula of Total Energy of Flow is expressed as Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2). Here is an example- 103.1334 = 3.3+(177^2)/(2*[g]*4.01^2).

How to calculate Total Energy of Flow?

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

Can the Total Energy of Flow be negative?

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

Which unit is used to measure Total Energy of Flow?

Total Energy of Flow is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total Energy of Flow can be measured.

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Total Energy of Flow Formula

Total Energy of Flow Example

Total Energy of Flow Solution

Total Energy of Flow Formula Elements

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Total Energy of Flow?

FAQs on Total Energy of Flow

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