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Total 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

GoTotal Energy per unit Weight of Water in Flow Section given Discharge 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 = (\frac{{V mean}^{2}}{2 \cdot [g]}) + d f + y

E_total - Total Energy?V_mean - Mean Velocity?d_f - Depth of Flow?y - Height above Datum?[g] - Gravitational acceleration on Earth?

Total Energy per unit Weight of Water in Flow Section Example

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

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

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

8.5411 = (\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 3.3 + 40

8.5411J = (\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}) + 3.3m + 40mm

8.5411 = (\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 3.3 + 40

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Total Energy per unit Weight of Water in Flow Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E total = (\frac{{10.1m/s}^{2}}{2 \cdot [g]}) + 3.3m + 40mm

Next Step Substitute values of Constants

∴

E total = (\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}) + 3.3m + 40mm

Next Step Convert Units

∴

E total = (\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}) + 3.3m + 0.04m

Next Step Prepare to Evaluate

∴

E total = (\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 3.3 + 0.04

Next Step Evaluate

∴

E total = 8.54106254429392J

LAST Step Rounding Answer

∴

E total = 8.5411J

Total Energy per unit Weight of Water in Flow Section 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

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

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

Height above Datum

Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Height above Datum

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 considering Bed Slope as Datum

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

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

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

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?

Total Energy per unit Weight of Water in Flow Section evaluator uses Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum to evaluate the Total Energy, The Total Energy per unit Weight of Water in Flow Section is defined as the sum of kinetic and potential energy stored in flowing water in channel. Total Energy is denoted by E_total symbol.

How to evaluate Total Energy per unit Weight of Water in Flow Section using this online evaluator? To use this online evaluator for Total Energy per unit Weight of Water in Flow Section, enter Mean Velocity (V_mean), Depth of Flow (d_f) & Height above Datum (y) and hit the calculate button.

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

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

The formula of Total Energy per unit Weight of Water in Flow Section is expressed as Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum. Here is an example- 8.541063 = ((10.1^2)/(2*[g]))+3.3+0.04.

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

With Mean Velocity (V_mean), Depth of Flow (d_f) & Height above Datum (y) we can find Total Energy per unit Weight of Water in Flow Section using the formula - Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum. 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 for Froude Number^2)/(2*[g]))+Depth of Flow
Total Energy=Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

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

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

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

Total Energy per unit Weight of Water in Flow Section 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 can be measured.

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