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Discharge through Area Formula

GoDischarge through Section Considering Condition of Minimum Specific Energy Formula

GoDischarge through Section Considering Condition of Maximum Discharge Formula

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

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

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

Discharge through Area Example

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Here is how the Discharge through Area equation looks like with Values.

Here is how the Discharge through Area equation looks like with Units.

Here is how the Discharge through Area equation looks like.

34.6651 = \sqrt{2 \cdot 9.8066 \cdot {3.4}^{2} \cdot (8.6 - 3.3)}

34.6651m³/s = \sqrt{2 \cdot 9.8066m/s² \cdot {3.4m²}^{2} \cdot (8.6J - 3.3m)}

34.6651 = \sqrt{2 \cdot 9.8066 \cdot {3.4}^{2} \cdot (8.6 - 3.3)}

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Discharge through Area Solution

Follow our step by step solution on how to calculate Discharge through Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \sqrt{2 \cdot [g] \cdot {3.4m²}^{2} \cdot (8.6J - 3.3m)}

Next Step Substitute values of Constants

∴

Q = \sqrt{2 \cdot 9.8066m/s² \cdot {3.4m²}^{2} \cdot (8.6J - 3.3m)}

Next Step Prepare to Evaluate

∴

Q = \sqrt{2 \cdot 9.8066 \cdot {3.4}^{2} \cdot (8.6 - 3.3)}

Next Step Evaluate

∴

Q = 34.6650784565678m³/s

LAST Step Rounding Answer

∴

Q = 34.6651m³/s

Discharge through Area Formula Elements

Variables

Constants

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Discharge of Channel

Go Discharge through Section Considering Condition of Minimum Specific Energy

Q = \sqrt{({A cs}^{3}) \cdot \frac{[g]}{T}}

Go Discharge through Section Considering Condition of Maximum Discharge

Q = \sqrt{({A cs}^{3}) \cdot \frac{[g]}{T}}

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 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)

How to Evaluate Discharge through Area?

Discharge through Area evaluator uses Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow)) to evaluate the Discharge of Channel, The Discharge through Area formula is defined as the amount of liquid flowing through the section per unit time in the channel. Discharge of Channel is denoted by Q symbol.

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

FAQs on Discharge through Area

What is the formula to find Discharge through Area?

The formula of Discharge through Area is expressed as Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow)). Here is an example- 152.9342 = sqrt(2*[g]*3.4^2*(8.6-3.3)).

How to calculate Discharge through Area?

With Cross-Sectional Area of Channel (A_cs), Total Energy (E_total) & Depth of Flow (d_f) we can find Discharge through Area using the formula - Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Discharge of Channel?

Here are the different ways to Calculate Discharge of Channel-

Discharge of Channel=sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)
Discharge of Channel=sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)

Can the Discharge through Area be negative?

No, the Discharge through Area, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge through Area?

Discharge through Area is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge through Area can be measured.

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Discharge through Area Formula

​GoDischarge through Section Considering Condition of Minimum Specific Energy Formula

​GoDischarge through Section Considering Condition of Maximum Discharge Formula

Discharge through Area Example

Discharge through Area Solution

Discharge through Area Formula Elements

Other Formulas to find Discharge of Channel

Other formulas in Specific Energy and Critical Depth category

How to Evaluate Discharge through Area?

FAQs on Discharge through Area

Variable Name

GoDischarge through Section Considering Condition of Minimum Specific Energy Formula

GoDischarge through Section Considering Condition of Maximum Discharge Formula