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

GoDepth of Flow given Total Energy in Flow Section taking Bed Slope as Datum Formula

GoDepth of Flow given Discharge 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 total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + y)

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

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

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

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

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

3.3589 = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 40)

3.3589m = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}) + 40mm)

3.3589 = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 40)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d f = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot [g]}) + 40mm)

Next Step Substitute values of Constants

∴

d f = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}) + 40mm)

Next Step Convert Units

∴

d f = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}) + 0.04m)

Next Step Prepare to Evaluate

∴

d f = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 0.04)

Next Step Evaluate

∴

d f = 3.35893745570608m

LAST Step Rounding Answer

∴

d f = 3.3589m

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

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

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 Depth of Flow

Go Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum

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

Go Depth of Flow given Discharge

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

Other formulas in Specific Energy and Critical Depth category

Go Total Energy per unit Weight of Water in Flow Section

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

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 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

How to Evaluate Depth of Flow given Total Energy per Unit Weight of Water in Flow Section?

Depth of Flow given Total Energy per Unit Weight of Water in Flow Section evaluator uses Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum) to evaluate the Depth of Flow, The Depth of Flow given Total Energy per Unit Weight of Water in Flow Section is defined as the amount of fluid flow in channel . Depth of Flow is denoted by d_f symbol.

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

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

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

The formula of Depth of Flow given Total Energy per Unit Weight of Water in Flow Section is expressed as Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum). Here is an example- 3.358937 = 8.6-(((10.1^2)/(2*[g]))+0.04).

How to calculate Depth of Flow given Total Energy per Unit Weight of Water in Flow Section?

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

Can the Depth of Flow given Total Energy per Unit Weight of Water in Flow Section be negative?

No, the Depth of Flow given Total Energy per Unit Weight of Water in Flow Section, measured in Length cannot be negative.

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

Depth of Flow given Total Energy per Unit Weight of Water in Flow Section 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 per Unit Weight of Water in Flow Section can be measured.

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