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

GoArea of Section given Discharge 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 = {(Q \cdot \frac{T}{[g]})}^{\frac{1}{3}}

A_cs - Cross-Sectional Area of Channel?Q - Discharge of Channel?T - Top Width?[g] - Gravitational acceleration on Earth?

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

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Here is how the Area of Section of Open Channel Considering Condition of Minimum Specific Energy equation looks like with Values.

Here is how the Area of Section of Open Channel Considering Condition of Minimum Specific Energy equation looks like with Units.

Here is how the Area of Section of Open Channel Considering Condition of Minimum Specific Energy equation looks like.

1.4419 = {(14 \cdot \frac{2.1}{9.8066})}^{\frac{1}{3}}

1.4419m² = {(14m³/s \cdot \frac{2.1m}{9.8066m/s²})}^{\frac{1}{3}}

1.4419 = {(14 \cdot \frac{2.1}{9.8066})}^{\frac{1}{3}}

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

Follow our step by step solution on how to calculate Area of Section of Open Channel Considering Condition of Minimum Specific Energy?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A cs = {(14m³/s \cdot \frac{2.1m}{[g]})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

A cs = {(14m³/s \cdot \frac{2.1m}{9.8066m/s²})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

A cs = {(14 \cdot \frac{2.1}{9.8066})}^{\frac{1}{3}}

Next Step Evaluate

∴

A cs = 1.4419234946896m²

LAST Step Rounding Answer

∴

A cs = 1.4419m²

Area of Section of Open Channel Considering Condition of Minimum Specific Energy Formula Elements

Variables

Constants

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

Top Width

Top Width is defined as the width at the top of the section.

Symbol: T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Width

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 Cross-Sectional Area of Channel

Go Area of Section given Discharge

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

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 of Open Channel Considering Condition of Minimum Specific Energy?

Area of Section of Open Channel Considering Condition of Minimum Specific Energy evaluator uses Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3) to evaluate the Cross-Sectional Area of Channel, The Area of Section of Open Channel Considering Condition of Minimum Specific Energy formula is defined as an area of the sectional flow path in the open channel. Cross-Sectional Area of Channel is denoted by A_cs symbol.

How to evaluate Area of Section of Open Channel Considering Condition of Minimum Specific Energy using this online evaluator? To use this online evaluator for Area of Section of Open Channel Considering Condition of Minimum Specific Energy, enter Discharge of Channel (Q) & Top Width (T) and hit the calculate button.

FAQs on Area of Section of Open Channel Considering Condition of Minimum Specific Energy

What is the formula to find Area of Section of Open Channel Considering Condition of Minimum Specific Energy?

The formula of Area of Section of Open Channel Considering Condition of Minimum Specific Energy is expressed as Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3). Here is an example- 1.441923 = (14*2.1/[g])^(1/3).

How to calculate Area of Section of Open Channel Considering Condition of Minimum Specific Energy?

With Discharge of Channel (Q) & Top Width (T) we can find Area of Section of Open Channel Considering Condition of Minimum Specific Energy using the formula - Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3). This formula also uses Gravitational acceleration on Earth constant(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/sqrt(2*[g]*(Total Energy-Depth of Flow))
Cross-Sectional Area of Channel=(Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)

Can the Area of Section of Open Channel Considering Condition of Minimum Specific Energy be negative?

No, the Area of Section of Open Channel Considering Condition of Minimum Specific Energy, measured in Area cannot be negative.

Which unit is used to measure Area of Section of Open Channel Considering Condition of Minimum Specific Energy?

Area of Section of Open Channel Considering Condition of Minimum Specific Energy 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 of Open Channel Considering Condition of Minimum Specific Energy can be measured.

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

​GoArea of Section given Discharge Formula

​GoArea of Section Considering Condition of Maximum Discharge Formula

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

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

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

FAQs on Area of Section of Open Channel Considering Condition of Minimum Specific Energy

Variable Name

GoArea of Section given Discharge Formula

GoArea of Section Considering Condition of Maximum Discharge Formula