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Area of Section given Discharge Formula

GoArea of Section of Open Channel Considering Condition of Minimum Specific Energy Formula

GoArea of Section Considering Condition of Maximum Discharge Formula

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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. Check FAQs

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

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

Area of Section given Discharge Example

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Here is how the Area of Section given Discharge equation looks like with Values.

Here is how the Area of Section given Discharge equation looks like with Units.

Here is how the Area of Section given Discharge equation looks like.

1.3731 = \frac{14}{\sqrt{2 \cdot 9.8066 \cdot (8.6 - 3.3)}}

1.3731m² = \frac{14m³/s}{\sqrt{2 \cdot 9.8066m/s² \cdot (8.6J - 3.3m)}}

1.3731 = \frac{14}{\sqrt{2 \cdot 9.8066 \cdot (8.6 - 3.3)}}

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Area of Section given Discharge Solution

Follow our step by step solution on how to calculate Area of Section given Discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A cs = \frac{14m³/s}{\sqrt{2 \cdot [g] \cdot (8.6J - 3.3m)}}

Next Step Substitute values of Constants

∴

A cs = \frac{14m³/s}{\sqrt{2 \cdot 9.8066m/s² \cdot (8.6J - 3.3m)}}

Next Step Prepare to Evaluate

∴

A cs = \frac{14}{\sqrt{2 \cdot 9.8066 \cdot (8.6 - 3.3)}}

Next Step Evaluate

∴

A cs = 1.37313983176581m²

LAST Step Rounding Answer

∴

A cs = 1.3731m²

Area of Section given Discharge Formula Elements

Variables

Constants

Functions

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

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

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 Cross-Sectional Area of Channel

Go Area of Section of Open Channel Considering Condition of Minimum Specific Energy

A cs = {(Q \cdot \frac{T}{[g]})}^{\frac{1}{3}}

Go Area of Section Considering Condition of Maximum Discharge

A cs = {(Q \cdot Q \cdot \frac{T}{[g]})}^{\frac{1}{3}}

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 Area of Section given Discharge?

Area of Section given Discharge evaluator uses Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow)) to evaluate the Cross-Sectional Area of Channel, The Area of Section given Discharge is defined as the sectional area of channel at any point in flow. Cross-Sectional Area of Channel is denoted by A_cs symbol.

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

FAQs on Area of Section given Discharge

What is the formula to find Area of Section given Discharge?

The formula of Area of Section given Discharge is expressed as Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow)). Here is an example- 1.37314 = 14/sqrt(2*[g]*(8.6-3.3)).

How to calculate Area of Section given Discharge?

With Discharge of Channel (Q), Total Energy (E_total) & Depth of Flow (d_f) we can find Area of Section given Discharge using the formula - Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(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 Cross-Sectional Area of Channel?

Here are the different ways to Calculate Cross-Sectional Area of Channel-

Cross-Sectional Area of Channel=(Discharge of Channel*Top Width/[g])^(1/3)
Cross-Sectional Area of Channel=(Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)

Can the Area of Section given Discharge be negative?

No, the Area of Section given Discharge, measured in Area cannot be negative.

Which unit is used to measure Area of Section given Discharge?

Area of Section given Discharge is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Section given Discharge can be measured.

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Area of Section given Discharge Formula

​GoArea of Section of Open Channel Considering Condition of Minimum Specific Energy Formula

​GoArea of Section Considering Condition of Maximum Discharge Formula

Area of Section given Discharge Example

Area of Section given Discharge Solution

Area of Section given Discharge Formula Elements

Other Formulas to find Cross-Sectional Area of Channel

Other formulas in Specific Energy and Critical Depth category

How to Evaluate Area of Section given Discharge?

FAQs on Area of Section given Discharge

Variable Name

GoArea of Section of Open Channel Considering Condition of Minimum Specific Energy Formula

GoArea of Section Considering Condition of Maximum Discharge Formula