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Depth of Flow given Discharge Formula

GoDepth 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

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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{{(\frac{Q}{A cs})}^{2}}{2 \cdot [g]})

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

Depth of Flow given Discharge Example

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Here is how the Depth of Flow given Discharge equation looks like with Values.

Here is how the Depth of Flow given Discharge equation looks like with Units.

Here is how the Depth of Flow given Discharge equation looks like.

7.7355 = 8.6 - (\frac{{(\frac{14}{3.4})}^{2}}{2 \cdot 9.8066})

7.7355m = 8.6J - (\frac{{(\frac{14m³/s}{3.4m²})}^{2}}{2 \cdot 9.8066m/s²})

7.7355 = 8.6 - (\frac{{(\frac{14}{3.4})}^{2}}{2 \cdot 9.8066})

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Depth of Flow given Discharge Solution

Follow our step by step solution on how to calculate Depth of Flow given Discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d f = 8.6J - (\frac{{(\frac{14m³/s}{3.4m²})}^{2}}{2 \cdot [g]})

Next Step Substitute values of Constants

∴

d f = 8.6J - (\frac{{(\frac{14m³/s}{3.4m²})}^{2}}{2 \cdot 9.8066m/s²})

Next Step Prepare to Evaluate

∴

d f = 8.6 - (\frac{{(\frac{14}{3.4})}^{2}}{2 \cdot 9.8066})

Next Step Evaluate

∴

d f = 7.73553469834051m

LAST Step Rounding Answer

∴

d f = 7.7355m

Depth of Flow given Discharge 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

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 Depth of Flow

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 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]}))

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 Discharge?

Depth of Flow given Discharge evaluator uses Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])) to evaluate the Depth of Flow, The Depth of Flow given Discharge is defined as the amount of fluid in path of channel in open channel flow. Depth of Flow is denoted by d_f symbol.

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

FAQs on Depth of Flow given Discharge

What is the formula to find Depth of Flow given Discharge?

The formula of Depth of Flow given Discharge is expressed as Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g])). Here is an example- 8.555586 = 8.6-(((14/3.4)^2)/(2*[g])).

How to calculate Depth of Flow given Discharge?

With Total Energy (E_total), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs) we can find Depth of Flow given Discharge using the formula - Depth of Flow = Total Energy-(((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 Depth of Flow?

Here are the different ways to Calculate Depth of Flow-

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

Can the Depth of Flow given Discharge be negative?

No, the Depth of Flow given Discharge, measured in Length cannot be negative.

Which unit is used to measure Depth of Flow given Discharge?

Depth of Flow given Discharge 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 Discharge can be measured.

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Depth of Flow given Discharge Formula

​GoDepth 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

Depth of Flow given Discharge Example

Depth of Flow given Discharge Solution

Depth of Flow given Discharge Formula Elements

Other Formulas to find Depth of Flow

Other formulas in Specific Energy and Critical Depth category

How to Evaluate Depth of Flow given Discharge?

FAQs on Depth of Flow given Discharge

Variable Name

GoDepth 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