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Total Energy per unit Weight of Water in Flow Section given Discharge Formula

GoTotal Energy per unit Weight of Water in Flow Section Formula

GoTotal Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum Formula

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

E total = d f + (\frac{{(\frac{Q}{A cs})}^{2}}{2 \cdot [g]})

E_total - Total Energy?d_f - Depth of Flow?Q - Discharge of Channel?A_cs - Cross-Sectional Area of Channel?[g] - Gravitational acceleration on Earth?

Total Energy per unit Weight of Water in Flow Section given Discharge Example

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Here is how the Total Energy per unit Weight of Water in Flow Section given Discharge equation looks like with Values.

Here is how the Total Energy per unit Weight of Water in Flow Section given Discharge equation looks like with Units.

Here is how the Total Energy per unit Weight of Water in Flow Section given Discharge equation looks like.

4.1645 = 3.3 + (\frac{{(\frac{14}{3.4})}^{2}}{2 \cdot 9.8066})

4.1645J = 3.3m + (\frac{{(\frac{14m³/s}{3.4m²})}^{2}}{2 \cdot 9.8066m/s²})

4.1645 = 3.3 + (\frac{{(\frac{14}{3.4})}^{2}}{2 \cdot 9.8066})

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Total Energy per unit Weight of Water in Flow Section given Discharge Solution

Follow our step by step solution on how to calculate Total Energy per unit Weight of Water in Flow Section given Discharge?

FIRST Step Consider the formula

E total = d f + (\frac{{(\frac{Q}{A cs})}^{2}}{2 \cdot [g]})

Next Step Substitute values of Variables

∴

E total = 3.3m + (\frac{{(\frac{14m³/s}{3.4m²})}^{2}}{2 \cdot [g]})

Next Step Substitute values of Constants

∴

E total = 3.3m + (\frac{{(\frac{14m³/s}{3.4m²})}^{2}}{2 \cdot 9.8066m/s²})

Next Step Prepare to Evaluate

∴

E total = 3.3 + (\frac{{(\frac{14}{3.4})}^{2}}{2 \cdot 9.8066})

Next Step Evaluate

∴

E total = 4.16446530165949J

LAST Step Rounding Answer

∴

E total = 4.1645J

Total Energy per unit Weight of Water in Flow Section given Discharge Formula Elements

Variables

Constants

Total Energy

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

Symbol: E_total

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Total Energy

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 of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

Cross-Sectional Area of Channel

Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Channel

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 Total Energy

Go Total Energy per unit Weight of Water in Flow Section

E total = (\frac{{V mean}^{2}}{2 \cdot [g]}) + d f + y

Go Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum

E total = (\frac{{V FN}^{2}}{2 \cdot [g]}) + d f

Other formulas in Specific Energy and Critical Depth category

Go Datum Height for Total Energy per unit Weight of Water in Flow Section

y = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + d f)

Go Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section

V mean = \sqrt{(E total - (d f + y)) \cdot 2 \cdot [g]}

Go Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

d f = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + y)

Go Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum

V mean = \sqrt{(E total - (d f)) \cdot 2 \cdot [g]}

How to Evaluate Total Energy per unit Weight of Water in Flow Section given Discharge?

Total Energy per unit Weight of Water in Flow Section given Discharge evaluator uses Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])) to evaluate the Total Energy, The Total Energy per unit Weight of Water in Flow Section given Discharge is defined as the energy posses by liquid flowing in channel. Total Energy is denoted by E_total symbol.

How to evaluate Total Energy per unit Weight of Water in Flow Section given Discharge using this online evaluator? To use this online evaluator for Total Energy per unit Weight of Water in Flow Section given Discharge, enter Depth of Flow (d_f), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs) and hit the calculate button.

FAQs on Total Energy per unit Weight of Water in Flow Section given Discharge

What is the formula to find Total Energy per unit Weight of Water in Flow Section given Discharge?

The formula of Total Energy per unit Weight of Water in Flow Section given Discharge is expressed as Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])). Here is an example- 3.344414 = 3.3+(((14/3.4)^2)/(2*[g])).

How to calculate Total Energy per unit Weight of Water in Flow Section given Discharge?

With Depth of Flow (d_f), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs) we can find Total Energy per unit Weight of Water in Flow Section given Discharge using the formula - Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Total Energy?

Here are the different ways to Calculate Total Energy-

Total Energy=((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum
Total Energy=((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow

Can the Total Energy per unit Weight of Water in Flow Section given Discharge be negative?

No, the Total Energy per unit Weight of Water in Flow Section given Discharge, measured in Energy cannot be negative.

Which unit is used to measure Total Energy per unit Weight of Water in Flow Section given Discharge?

Total Energy per unit Weight of Water in Flow Section given Discharge is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total Energy per unit Weight of Water in Flow Section given Discharge can be measured.

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Total Energy per unit Weight of Water in Flow Section given Discharge Formula

​GoTotal Energy per unit Weight of Water in Flow Section Formula

​GoTotal Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum Formula

Total Energy per unit Weight of Water in Flow Section given Discharge Example

Total Energy per unit Weight of Water in Flow Section given Discharge Solution

Total Energy per unit Weight of Water in Flow Section given Discharge Formula Elements

Other Formulas to find Total Energy

Other formulas in Specific Energy and Critical Depth category

How to Evaluate Total Energy per unit Weight of Water in Flow Section given Discharge?

FAQs on Total Energy per unit Weight of Water in Flow Section given Discharge

Variable Name

GoTotal Energy per unit Weight of Water in Flow Section Formula

GoTotal Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum Formula